PR-1706IRE New Wave Mental Maths - 6th Class

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First published in 2002 by Prim-Ed Publishing
Revised 2017
Marshmeadows
New Ross
County Wexford
www.prim-ed.com
Copyright © Eddy Krajcar 2017
PR–1706
ISBN 978-1-92096-244-9
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Copyright Notice
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photocopying or recording, or by any information retrieval system without written permission from the publisher.

FOREWORD
New Wave Mental Maths is a series of seven pupil workbooks, written to provide a comprehensive and structured
daily mental maths programme for classes from Senior Infants to 6th Class. All strands and strand units of the
mathematics curriculum are covered. The series has been updated and revised. Contemporary colour and appealing
artwork have been added. Question types have been revised, reworded or rewritten. New to this edition is the
inclusion of a separate problem-solving column in each week’s unit of work, to enable teachers to focus on specific
problem-solving skills and strategies.
New Wave Mental Maths is designed to:
• provide complete coverage of all mental maths-related strands and strand units of the mathematics curriculum;
• encourage and develop mental calculation concepts and skills;
• constantly revise the different strands and strand units;
• develop and reinforce problem-solving strategies;
• develop and maintain speed of recall; and
• introduce, practise and consolidate a range of mathematical vocabulary and language.
Assessment activities are provided for pupils to assess, monitor and record their own performance on a weekly basis.
A separate Teachers Manual is available to accompany the New Wave Mental Maths series. This manual contains
guidelines to help develop mental strategies; suggestions for classroom use; assessment material; list of concepts
developed and answers for all the pupil workbooks.
Pupil Record Sheet........................................... iv–v
Week 1 ........................................................... 2–4
Week 2............................................................ 5–7
Week 3 ......................................................... 8–10
Week 4 ....................................................... 11–13
Week 5 ....................................................... 14–16
Week 6 ....................................................... 17–19
Week 7 ....................................................... 20–22
Week 8 ....................................................... 23–25
Week 9 ....................................................... 26–28
Week 10 ..................................................... 29–31
Week 11 ..................................................... 32–34
Week 12 ..................................................... 35–37
Week 13 ..................................................... 38–40
Week 14 ..................................................... 41–43
Week 15 ..................................................... 44–46
Week 16 ..................................................... 47–49
Week 17 ..................................................... 50–52
Week 18 ......................................................53–55
Week 19 ..................................................... 56–58
Week 20 ..................................................... 59–61
CONTENTS
Week 21 ..................................................... 62–64
Week 22 ..................................................... 65–67
Week 23 ..................................................... 68–70
Week 24 ..................................................... 71–73
Week 25 ..................................................... 74–76
Week 26 ..................................................... 77–79
Week 27 ..................................................... 80–82
Week 28 ......................................................83–85
Week 29 ......................................................86–88
Week 30 ..................................................... 89–91
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Week 31 ..................................................... 92–94
Week 32 ..................................................... 95–97
Week 33 ................................................... 98–100
Week 34 ................................................. 101–103
Week 35 ................................................. 104–106
Week 36 ................................................. 107–109
Week 37 ................................................. 110–112
Week 38 ................................................. 113–115
Week 39 ................................................. 116–118
Week 40 ................................................. 119–121
Maths Facts ............................................ 122–128
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths iii

PUPIL RECORD SHEET
Date Date Date Date Date Date Date Date Date Date
Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10
M M M M M M M M M M
Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.
W W W W W W W W W W
Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.
PS PS PS PS PS PS PS PS PS PS
F F F F F F F F F F
Date Date Date Date Date Date Date Date Date Date
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Week 11 Week 12 Week 13 Week 14 Week 15 Week 16 Week 17 Week 18 Week 19 Week 20
M M M M M M M M M M
Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.
W W W W W W W W W W
Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.
PS PS PS PS PS PS PS PS PS PS
F F F F F F F F F F
iv New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PUPIL RECORD SHEET
Date Date Date Date Date Date Date Date Date Date
Week 21 Week 22 Week 23 Week 24 Week 25 Week 26 Week 27 Week 28 Week 29 Week 30
M M M M M M M M M M
Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.
W W W W W W W W W W
Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.
PS PS PS PS PS PS PS PS PS PS
F F F F F F F F F F
Date Date Date Date Date Date Date Date Date Date
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Week 31 Week 32 Week 33 Week 34 Week 35 Week 36 Week 37 Week 38 Week 39 Week 40
M M M M M M M M M M
Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.
W W W W W W W W W W
Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.
PS PS PS PS PS PS PS PS PS PS
F F F F F F F F F F
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths v

MONDAY
TUESDAY
Week 1
1. Round 6.23 to one decimal place.
2. Write the prime numbers from 1 to 10.
, , and
1. Round 8.06 to one decimal place.
2. The time is 2.15 p.m. in Ireland and 3.15 p.m. in Spain.
What is the time difference?
3. If a clock shows 9 o’clock, which size is the inside angle
between the two hands?
45º 90º 9º
4. A circle's radius is half the diameter.
5. 4 5 + 4 5 =
True
False
6. Write one million as a numeral.
7. Circle +7 on the number line.
8. 100,000 + 325,050 =
9. This is a net of a
10. What is the area of a
square with 4-cm sides? cm 2
11. 2 3 × 3 =
12. Simplify 5 10 .
13. Name this shape.
14. 100,000 – 10 =
15. 10% of 100 =
16. Round 3 3 4 (nearest whole number).
17. (4 × 5) – 10 =
18. What is the 24-hour time for 6.00 p.m.?
hours
.
19. Which is the lowest common denominator (LCD)
of 1 2 and 1 5 ?
20. 4 – 0.2 =
8 10 20
3. Round 2 7 10 to the nearest whole number.
4. What is the length of
Side a of the square?
5. 3 2 =
6. 8 × 3 × 3 =
7. (5 × 5) + (2 × 10) =
8. A cuboid has
faces.
edges.
vertices.
9. What is the LCD of 1 4 and 3 10 ?
cm
10. What is the perimeter of an
equilateral triangle with 7-cm sides?
cm
11. Tick the largest.
12. 1 2 = %
13. What is the value of the 8 in 820,411?
14. Name this shape.
15. Write one million and one as a numeral.
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16. 5 105 =
17. 4 × 3 4 =
1
2
On the circle diagram, label
18. the radius ‘A’.
19. the diameter ‘B’.
20. the circumference ‘C’.
3
4
5 cm
a
2
6
2 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Round 4.27 to one decimal place.
2. This is a net of a
.
1. Round 3.39 to one decimal place.
2. 3 4 + 3 4 =
3. The circumference of a circle is approximately
2 3 4 times longer than its diameter.
4. 2.5 ÷ 5 = 0.
Week 1
3. 1 4 km = m
4. Write one million and ten as a numeral.
5. 6 – 0.3 =
6. Write the composite numbers from 1 to 10.
, , , and
7. What is the 24-hour time for 9.00 p.m.?
hours
8. 70 = double a, so a =
9. 2 3 = 2 × 2 × 2 =
10. (18 ÷ 3) + 8 =
11. Simplify 6 9 .
12. Which is the size of the inside angle
between the hands?
45º 90º 180º
13. 20% of €100 = €
14. Write the numeral two point zero, zero four.
15. 55,000 + 45,000 =
16. 4.1, 8.2, 16.4,
17. 9 × 2 3 =
18. If a jar contains 4 chocolate chip biscuits, 6 ginger
biscuits and 10 coconut biscuits, what is the probability
of picking a chocolate chip biscuit?
in
11
10
9
8
7
12
6
1
2
3
4
5
5. The length of
a is
b is
cm.
cm.
6. A triangular prism has
faces.
edges.
vertices.
7. (15 – 5) × 5 =
8. 3 3 = 3 × 3 × 3 =
9. Round 3 3 7 (nearest whole number).
10. The time is 7.12 a.m. in Ireland and 8.12 a.m. in France.
What is the time difference?
11. Circle –6 on the number line.
12. 60 , 600 , 6,000 ,
13. 19 × 3 = (20 × 3) –
14. Tick the smallest.
15. 1 4 = %
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16. The factors of 6 are
4
6
, , and .
17. What is the average of 15, 30 and 15?
b
8
9
a
6 cm
1
3
19. What is the perimeter of the square?
cm
20. 6 2 =
3 cm
18. Write one million one hundred as a numeral.
19. 38 ÷ 5 = r
20. What is the 24-hour time for 4.30 a.m.?
hours
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 3

PROBLEM-SOLVING
FRIDAY REVIEW
Week 1
Monday
The pages in a book are consecutively
numbered from 1 to 76.
1. How many of the digit 1 are present?
2. How many of the digit 7 are present?
1. Round 5.79 to one decimal
place.
2. Write one million and ten
as a numeral.
14. 3 4 + 3 4 =
15. (5 × 4) + 5 =
16. Round 7 3 7 .
17. Name this shape.
Tuesday
3. What prime number
comes after 10?
1st 2nd 3rd
1. What is the 6th triangular number?
2. What is the 8th triangular number?
Wednesday
1. What is the sum of the
numbers not visible on
the dice?
2. What is the sum of the
numbers on the bottom
of the dice?
Thursday
1. Look at the net. Which number is missing from the
blank face of the cube?
2. How many triangles can you find?
3
1 2 5 6
4
4. The circumference of a circle
is approximately
2 3 4 times
longer than its diameter.
5. Simplify 14
20 .
10
6. Which is the size of the
inside angle at 9 o’clock?
45° 90° 9°
7. 20 = 5 + a,
so a =
8. 5 205 =
9. 8 × 2 4 =
10. Circle –5 on the number line.
11. 4 2 =
12.
This is a net of a
13. 30% of €100 =
€
11
10
9
8
7
12
-5 -4 -3 -2 -1
6
0
1
2
3
4
5
1
2
3
4
5
.
18. 100,000 – 100
=
19. A cube has
faces.
edges.
vertices.
20. Tick the largest.
3
4
5
10
2
8
21. The time is 9.20 a.m. in
Ireland and 10.20 a.m.
in Germany. What is the
time difference?
22. 1 5 = %
23. 10 3 = 10 × 10 × 10 =
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3
5
24. What is the 24-hour time for
8.00 p.m.?
hours
25. What is the length of
Side a of this square?
4 cm
a
cm
4 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 149 ÷ 10 = r
2. What is the radius of this circle?
cm
15 cm
15 cm
1. 149 ÷ 5 = r
2. Draw a 270º rotation clockwise.
Week 2
3. This
is
mm tall.
15 cm
3. Is 715 divisible by 5?
4. (9 × 5) ÷ (30 ÷ 6) =
4. Round 7.53 to one decimal place.
5. What is the place value of the 9 in 962,000?
6. 90 + b = 2 × 70, so b =
7. Write one million, one hundred and one thousand
as a numeral.
8. 18.5 ÷ 10 =
9. If a clock shows 6 o’clock, which is the size of the angle
created by the hands?
90º 45º 60º 180º
10. Simplify 10
15. .
11. Circle –5 on the number line.
12. 7 – 0.9 =
13. This is a net of a
14. 30% of €50.00 =
15. Is 3.7 rounded to 3 or 4?
16. (6 × 5) – 20 =
17. A regular pentagon has 7-cm sides. What is its perimeter?
18. 10 × 2 5 =
cm
19. 4.04 > 4.20 True False
20. The time is 5 p.m. in Ireland and 7 p.m. on the same day
in Egypt. What is the time difference?
.
5. 15, 30, 45, , 75
6. Write the prime numbers from 10 to 20.
, , and
7. 2 4 = 2 × 2 × 2 × 2 =
8. 3 4 + 2 4 + 3 4 =
9. The abacus =
10. The length of one side
of this square is
11. 200 ÷ 5 =
12. Simplify 12
18 .
13. What is the area of a rectangular
field 100 m by 8 m? m 2
14. Name this shape.
15. 8 × 3 4 =
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cm.
16. If there are £0.60 to €1.00, how many euro would you
get for £3.00?
€
17. 23.5 ÷ 10 =
18. A cube has
faces.
edges.
vertices.
19. 1 10 = %
20. 175,000 ÷ 175,000 =
1.5 cm
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 5

WEDNESDAY
THURSDAY
Week 2
1. 1,000 ÷ 100 =
2. 41.3 ÷ 10 =
3. Write one million, one hundred and one as a numeral.
1. 5,000 ÷ 500 =
2. If there are £0.60 to €1.00, how many euro would you
get for £6.00?
€
4. 30,000 + 80,000 =
5. If a clock shows 9 o’clock, which is the
size of the inside angle?
90º 45º 60º
6. 6.05 < 6.60 True False
7. How many hours in 2 1 2 days?
hours
8. Round 5.86 to one decimal place.
9. What is the place value of the 4 in 417,200?
10.
80
A
The measurement at A =
11. 40% of €80 = €
12. Tick the largest.
13. 9 – 0.9 =
90 100
14. This is a net of a
15. 1,000,000 – 320,000 =
16. 3 4 = %
17. 4
10 + 4
100 = 0.
1
10
18. What is the LCD of 2 8 and 1 2 ?
19. A regular hexagon has 9-cm sides.
What is its perimeter?
20. 4 3 = 4 × 4 × 4 =
cm
mm
3
5
cm
11
10
9
8
7
12
6
1
2
3
4
5
4
10
.
3.
The obtuse angle of a = °
4. Write the composite numbers from 11 to 20.
, , , , and
5. The LCD of 3 4 and 2 3 is .
6. Circle +4 on the number line.
7. (8 × 4) ÷ (16 ÷ 4) =
8. This is a net of a
9. 8 10 – 3 10 =
10. 8 10 +
8
100 =
.
11. The time is 6.00 a.m. in Ireland and 9 a.m. in Kenya on
the same day. What is the time difference?
12. Simplify 12
13. 6 2 =
a 30°
16 .
14. Draw a 180º rotation anticlockwise.
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15. Tick the smallest.
16. What is the chance of picking a blue pen if your pencil
case has 4 red and 6 blue pens?
in
17. 200,000 – 70,000 =
18. Round 5.27 to one decimal place.
19. 400,000 + 900,000 =
2
3
20. A decagon has sides.
3
9
4
6
6 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. What will the speeding fine be?
90
5 – 12 km/h over €115
13 – 19 km/h over €175
20 – 29 km/h over €250
1. Write the numeral zero
point zero, zero two.
2. Round 8.57 to one decimal
place.
13. 40% of €60.00 =
€
14. Draw a 270º rotation
anticlockwise.
Week 2
2. How many odd-numbered houses are in a street
with houses from 1 – 43?
Tuesday
1. Mark ate 1 4 of a pizza. Kim ate 1 2 of what was left.
What fraction of the pizza was eaten?
2. Draw the top view of the 3-D shapes.
Wednesday
1. What is the size of Angle a?
°
2. What is the size of Angle b?
1. Yes ✔ No ✘
To calculate 4 × 44
°
Thursday
(a) double 44 and add 44.
(b) double 44 and double the answer.
(c) (40 × 4) + (4 × 4)
(d) (44 + 4) × 4
2. Gina halved a number, subtracted 4 and added 5.
The answer was 21. What number did she start with?
a
150° b
3. 136 ÷ 10 = r
4. Name this shape.
5. Circle –3 on the number
line.
-5 -4 -3 -2 -1 0
6. This is a net of a
7. What is the diameter of a
circle if its radius is
5 cm?
cm
8. (8 × 4) – 2 =
9. The time is 7 a.m. in
Ireland and 9 a.m. in South
Africa. What is the time
difference?
10. 80 + b = 50 × 3,
so b =
11. 250, 500, , 1,000
12. 1,000,000 – 280,000 =
1
2
3
4
5
.
15. Round 7.6 (nearest whole
number).
16. 2,000 ÷ 200 =
17. What is the LCD
of 3 4 and 1 2 ?
18. 300,000 + 800,000 =
19. Simplify 12
20.
21.
15 .
A
The measurement at A
is
The
is
22. 7 – 0.3 =
mm.
mm tall.
23. If there are £0.60 to €1.00,
how many euro would you
get for £12.00?
€
90 100
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80
12 cm
cm
24. A jar has 4 red, 10 green
and 6 blue cubes. The
chance of randomly
choosing a red cube is
in .
25. What is the place value of
the 6 in 617,000?
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 7

MONDAY
TUESDAY
Week 3
1.
9
100 +
9
10 = 0.
2. 4 5 + 3 5 + 4 5 =
3. Circle the approximate size of this angle.
20° 45° 80°
1.
7
100 +
7
10 = 0.
2. 2 5 = %
3. 11 5 – 4 5 =
4. 9 + 2 × 10 =
4. 80,000 + 20,000 =
5. Write one million, one thousand and ten as a numeral.
6. 40 × 4 5 =
7. 750,000 + 250,000 =
8. The factors of 8 are , , and .
9. An architect is drawing house plans. A large window
measures 10 m long and needs to be drawn on paper as
10 cm long. Which is the scale?
1:10 1:1 1:100
10. What is the length of a wall
shown as 7 cm in the same house?
11. 2.09 > 2.10 True False
12. Tick the smallest.
13. 10 – 0.1 =
1
2
14. Circle +6 on the number line.
15. (16 ÷ 4) + 6 =
16. Double 8.6.
17. How many of Box B will fit evenly into Box A?
18. Write the prime number that comes after 19.
2
5
9
10
5. 5 – 0.05 =
6. 7 294 =
7. What is the radius of the circle?
cm
8. Write the numeral one point zero, zero two.
9. 3 3 = 3 × 3 × 3 =
10. What is the value of the 3 in 3,211,211?
11. A tetrahedron has
faces.
edges.
vertices.
12. 143 ÷ 10 = r
13. 3, 9, 16, 24, , 43
14. If a clock shows 6 o’clock, what is the angle between
the hands?
°
15. What is the volume of this block?
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A
2 cm
2 cm
2 cm
B
1 cm
1 cm 1 cm
cm 3
16. 700,000 + 300,000 =
17. 31 × 9 = 279, 30 × 9 = 270, 29 × 9 =
8 cm
5 cm
2 cm
2 cm
19. Round 6.09 to one decimal place.
20. The time is 10 p.m. in Ireland and 11 p.m. in Italy on the
same day. What is the time difference?
18. Round 6.09 to one decimal place.
19. 24 × 3 8 =
20. A shop has a 10% discount on all items. What will you
pay for a pair of shoes, originally priced at €50?
€
8 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 9 2 =
2. If a bucket contains 2 red balls, 5 green balls and 13
yellow balls, what chance have you of choosing a red ball?
in
3. The factors of 9 are , and .
4. 200 – b = 110, so b =
5. Tick the largest.
6. Simplify 15
18 .
3
12
7. Circle –4 on the number line.
8. Circle the approximate size of this angle.
9. 1,000 – 50 =
10. 60,000 + 50,000 =
3
4
90° 10° 80°
11. New house plans show a wall 20 metres in length, drawn
on paper as 20 cm long. Which is the scale?
1:1 1:100 1:2
12. A square-based pyramid has
faces.
edges.
vertices.
13. A 20% discount on a €100 pair
of shoes means you pay € .
14. (9 × 9) – 20 =
15. The circumference of a circle is approximately
how many times longer than the diameter?
16. How many of Box B will fit evenly into Box A?
17. 29.5 ÷ 10 =
18. If there are £0.60 to €1.00, how many euro would you
get for £6.00?
3
6
1. 7 2 =
2. A new house plan shows the living room
window 8 m in length, drawn on paper as 8 cm.
Which is the scale?
1:8 1:100 1:1
On the circle diagram, label
3. the radius ‘A’.
4. the diameter ‘B’.
5. the circumference ‘C’.
6. 4 5 = %
7. 3 – 0.05 =
8. 2 5 = 2 × 2 × 2 × 2 × 2 =
9. 800,000 + 300,000 =
10. Name this shape.
11. 307 ÷ 10 = r
12. (6 × 7) – (4 × 5) =
13. Write the numeral zero point zero, zero four.
14.
Angle = °
15. How would you write midnight in 24-hour time?
16. 30 × 5 6 =
hours
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A
3 cm
3 cm
3 cm
B 1 cm
1 cm
1 cm
17. Write the numeral one million, one thousand, one
hundred and one.
18. 41.2 ÷ 10 =
19. Double 0.9.
20. What is the volume? m 3
Week 3
€
19. Round 20.54 to one decimal place.
2 m
20. Find the LCD of 1 3 and 3 5 .
3 m
4 m
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 9

PROBLEM-SOLVING
FRIDAY REVIEW
Week 3
Monday
1. Write the numbers 1, 2, 3 and 4 on the spinner.
(a) 1 has a 1 in 4 chance.
(b) 2 has a 25% chance.
(c) 3 and 4 have the same chance.
2. Write as a number sentence. There are 210 golf
balls shared evenly among 10 buckets. How many
golf balls in each bucket?
Tuesday
1. What area do the flowers occupy? m 2
2. Claire spent 1 4 of her money buying clothes. She had
€90 left. How much money had she to begin with?
€
flowers
paving
=
Wednesday
1. A non-stop fast train took 4 hours to cover 1,000 km.
What was the average speed?
4 m
km/h
2. Write as a number sentence. 32 golf balls in each of
10 buckets. How many golf balls altogether?
=
4 m
1. 10 2 =
2. If there are £0.60 to €1.00,
how many euro would you
get for £12.00?
€
3. 3 5 + 4 5 =
4. 5 – 0.02 =
5.
A
2 cm
How many of Box B will
fit evenly into Box A?
6. The factors of 10 are
, ,
and .
7. 2 5 = 2 × 2 × 2 × 2 × 2 =
8. Round 7.07 to one
decimal place.
9. Tick the smallest.
1
3
2 cm
2 cm
8
9
B 1 cm
1 cm 1 cm
3
6
10. An architect has drawn new
house plans. A window
12 m long is drawn on
paper as 12 cm. Which is
the scale?
1:12 1:1
1:100
11. Circle –3 on the number
line.
14. A shop has a 10% discount.
What is the new price for
an item tagged at €80.00?
€
15. What is the size of
this angle?
°
16. The time is 8 p.m. in Ireland
and 9 p.m. in France. What
is the time difference?
17. 3 5 = %
18. 25 × 4 5 =
19. Write one million, one
thousand and eleven as
a numeral.
20. 29.5 ÷ 10 =
21. Draw a line to show the
diameter on this circle.
22. What is the place value of
the 2 in 2,411,333?
23. If a clock shows 6 o’clock,
what is the size of the angle
of the hands?
Review sample
-5 -4 -3 -2 -1 0
1
2
3
4
5
°
24. What is the LCD
of 2 3 and 1 5 ?
Thursday
1. A safe holds 10 × €200, 20 × €100,
200 × €20 and 500 × €50.
The total amount is € .
2. Dylan halved a number and multiplied it by 3.
The answer was 12.
What number did he start with?
12. 900,000 + 200,000 =
13. What is the volume of a fish
tank 2 m wide, 4 m long
and 3 m high?
m 3
25. 31 × 8 = 248,
30 × 8 = 240,
29 × 8 =
10 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. Write the prime numbers from 10 to 20.
2. Simplify 20
25 .
, , and
1. Write the next 2 prime numbers after 20.
and
2. Tick the smallest.
3
4
3
6
2
8
Week 4
3. What is the simplified ratio of boys to girls if a class has
20 boys and 10 girls?
4. 600 + 900 =
5. Add brackets to this number sentence.
6 × 4 + 3 ÷ 3 = 25
6. 29.3 ÷ 10 =
7. 10 – 0.2 =
8. 4,000 ÷ 400 =
9. 35,000 + 65,000 =
10. The time is 4 p.m. in Ireland and 10 p.m. in India on the
same day. What is the time difference?
11. Round 7.89 to one decimal place.
12. 3 5 = %
13. 100 ÷ 10 =
14. 42 × 9 = 378
41 × 9 = 369
40 × 9 = 360
39 × 9 =
15. 1.2, , 0.8, 0.6, 0.4
16. This is a net of a
17.
2 cm
A B 1 cm
3 cm
3 cm
How many of Box B will fit evenly into Box A?
.
3. 1 3 4 + 2 3 4 =
4. 50% off a €300 item = €
5. Circle +3 on the number line.
6. Write the numeral one million, one hundred
and ten thousand.
7. 8 – 0.9 =
8. How many degrees has a pentagon?
°
9. 7.70 > 7.09 True False
10. 25,000 + 45,000 =
11. 10 6 =
12. The arc of a circle is part of the
circumference.
13. Name this triangle.
diameter.
14. A fish tank is 3 m long by 2 m wide by 3 m high.
What is its volume?
m 3
15. What is the simplified ratio of boys to girls if there are
6 boys and 12 girls in a class?
Review sample
1 cm
1 cm
16. Round 8 3 5 .
2 m
180°
180°
3 m
180°
3 m
18. Will a square and a circle tessellate together?
19. Name this shape.
17. Halve 10.5.
18. How many halves in 2?
19. 27 × 3 9 =
20. Add brackets to this number sentence.
3 × 8 – 5 × 2 = 14
20. 10 4 = × × × =
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 11

WEDNESDAY
THURSDAY
Week 4
1. Write the composite numbers from 11 to 20.
, , , , and
2. If a clock shows 3 o’clock, which is the size
of the inside angle between the hands?
45º 90º 180º
3. Simplify 8 24 .
11
10
9
8
7
12
6
1
2
3
4
5
1. Write the composite numbers from 21 to 30.
, , , , , ,
and
2. Tick the largest.
3
6
3. If there are £0.60 to €1.00, how many euro would you
get for £30.00?
6
9
1
3
4.
€
Abacus =
5. Which is the scale if a house plan shows a wall 3 cm
long but it is actually 3 m long?
1:1 1:10 1:100
6. Round 8.96 to one decimal place.
7. 8 504 =
8. The factors of 12 are
, , , , and .
9. A wizard’s special potion needs
250 m of beetroot juice.
Colour the amount.
10. 400,000 + 700,000 =
11. 4 1 5 – 3 5 =
12. How many of Box B will
fit evenly into Box A?
13. 16,500 + 9,500 =
14. 12 × 11 =
15. 10 5 =
16. 10.6 ÷ 10 =
17. Double 1 2 .
18. This is a net of a
1 cm
1,500 m
1,000 m
500 m
A B 1 cm
2 cm
5 cm
1 cm
1 cm
4. b – 45 = 55, so b =
5. LCD of 3 4 and 5 6 is .
6. Circle –4 on the number line.
7. Round 19.8 to the nearest whole number.
8. 4 8 = %
9. Which line is the diameter, a, b or c?
10. 72°
36° This regular pentagon has
72°
36°
108°
scalene triangles.
isosceles triangles.
equilateral triangles.
11. What is the probability of being born on a Monday?
in
12. 6 2 5 – 4 5 =
13. Will a hexagon and a square tessellate together?
14. 75,000 + 25,000 =
15. Write the numeral one million, one hundred and
one thousand.
16. Double 1 4 .
36°
36°
36°
Review sample
108°
17. What is the simplified ratio of girls to boys if a class
has 5 girls and 20 boys?
c
a
b
.
18. 36 × 4 9 =
19. If a €100 item is reduced by 25%, what is the new price?
19. Write one and one tenth as a decimal.
20. How many halves in 3?
€
20. 2.97, 2.98, 2.99, , 3.01,
12 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. Ethan had 5 × €1, 5 × 50c and 6 × 20c coins.
Ethan ordered 4 hot chocolates and his father
picked up the shortfall of € .
2. A, B and C are numbers.
Find the number each letter
represents.
A = B = C =
Tuesday
1. David doubled a number, added 8 and divided it by 5.
His answer was 6. What number did he start with?
2. The scientists in Antarctica counted an average of
75 penguins in a 10 m 2 area. How many penguins
are possible in 1,000 m 2 ?
Wednesday
1. Emily surveyed places to eat in her town.
cafes (5), bakeries (3), restaurants (7), pizzerias (7),
chippers (2), burger bars (4)
In its lowest terms, what is the fraction of cafes
and restaurants?
2. Liam ate 75% of his cereal. What decimal was left?
Thursday
Work out the sizes of the angles
of the regular pentagon. a
Use this
to help.
72°
36°
72°
108°
36°
36°
108°
36°
36°
1. a = ° + ° = °
b = ° + ° = °
108°
b
€2.50
B 3 A
+ C 2 B
5 A 9
c
108°
1. Write the prime numbers
between 20 and 30.
and
2. 8 408 =
3. 50% off a €700 item,
4.
new price =
€
Name this 3-D shape.
5. 35,000 + 15,000 =
6. The diameter of a circle is
20 cm. What is the radius?
7. 2.60 > 2.06
True
cm
8. a + 55 = 100,
so a =
9. 36 × 3 9 =
False
10. Round 9.98 to one
decimal place.
11. (7 × 5) – (10 ÷ 2) = 40
True
False
12. 2 5 = %
13. The factors of 14 are
14.
, ,
and .
A
2 cm
2 cm
3 cm
B
1 cm
1 cm
1 cm
How many of Box B will fit
evenly into Box A?
15. Double 1 4 .
16. 10 5 =
17. 6 1 5 – 3 5 =
18. If there are £0.60 to
€1.00, how many euro
would you get for £30.00?
€
19. 6 8 = %
20. Abacus =
21. A pentagonal
prism has
22. Simplify 21
faces.
edges.
vertices.
24 .
23. What is the simplified ratio
of boys to girls if there are
9 boys and 18 girls?
24. How many halves in 4?
Review sample
25. 10.4 ÷ 10 =
Week 4
2. c = ° + ° + ° = °
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 13

MONDAY
TUESDAY
Week 5
1. The factors of 15 are
, , and
2. Colour 0.6.
3. Circle the prime number.
21 23 25
4. 6 8 = %
5. Which net will make a pyramid?
6. 10 – 0.08 =
7. Add brackets to this number
6 × 3 + 8 ÷ 2 = 22
8. 4 km 80 m = km
9. Draw this shape after . a 180°
10. Halve 1 2 .
11. 10 4 =
12. A jar contains 10 blue, 4 red
is the chance of picking a blue
in
13. On your house plans, a measurement
for a kitchen window. If the
should you draw the line?
cm
14. Name this shape.
15. What is the place value of the
16. 750,000 + 250,000 =
17. What is the size of this angle?
°
1
18. Tick the largest.
2
19. Write these temperatures on
0 °C, 4 °C, –4 °C, –3 °C, 2 °C
coldest
20. What is the volume of a box
50 cm by 30 cm by 20 cm?
A
clockwise.
jelly
m is
1:100, how
line.
warmest
cm 3 1. The factors of 16 are
, ,
2. The time is 2 a.m. in
in China. What is the
3. Halve 1 3 .
4. Share €160.00 equally
€ each
5. 15,500 + 7,500 =
6. 1 – 0.04 =
7. Halve 1 4 .
8. How many of Box B will
fit evenly into Box A?
9. Circle –2 on the number
10. 7 1 10 – 8 10 =
11. A tetrahedron has
faces.
edges.
vertices.
12. Name this shape.
13. What is the simplified
boys if there are 15 girls
14. 25 × 2 5 =
15. 85,000 + 15,000 =
16. 3 4 km =
17. The LCD of 7 10 and 3 4
18. 2 40 m = .
19. How many halves in
20. Angle a =
a
.
, and .
Ireland and 10 a.m. on the same day
time difference?
B
among 8 people.
sentence.
3 cm A
B
1 cm
3 cm
rotation 3 cm 1 cm 1 cm
line.
and 6 white beans. What
one?
of 8 indicated
scale is long
2 in 0.02?
ratio of girls to
to 3 boys?
m
is .
9
12
1
3
the number
5?
°
°C
Review sample
14 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 5 × 10 × 2,000 =
2. Write the decimal zero point zero five.
3. Simplify 20
24 .
4. 10 5 =
1. 20 × 5 × 2,000 =
2. 4 × b = 36, so b =
3.
What is the size of this angle? °
Week 5
5. Circle the composite number.
29 30 31
6. What is the perimeter of the square?
m
7. 2,000 – 350 =
8. Draw after a 270º rotation anticlockwise.
9. 1 3 = %
10. 1 3 of = 4
11. An octahedron has faces.
12. How many of Box B will fit evenly into Box A?
13. 5 2 10 – 7 10 =
14. 17, 34, 68, , 272
15. 82.95 ÷ 10 =
16. A bus timetable shows 8-minute intervals between
each stop. If a bus leaves at 9.02 a.m. and has 4 stops,
what time will it reach its destination?
17. Add brackets to this number sentence.
9 × 3 – 18 ÷ 2 = 18
18. A cuboid has
faces.
vertices.
A
4 cm
19. What are the multiples of 8?
edges.
2 cm
2 cm
2.5 m
B
2 cm
2 cm
2 cm
4. 25% of 800 =
5. This is a net of a
6. Simplify 18
7. 12 × 9 =
24 .
8. Colour to show approximately 3 4 litre.
9. 9 342 =
10. On a plan, how many centimetres should a wall be if
its actual length is 12 m and the scale is 1:100?
cm
11. Tick the smallest.
9
10
12. Write five tenths as a decimal.
Review sample
Before
9 6
After
13. 4 8 10 + 7 10 =
14. How many halves in 4?
15. Double 1 4 .
16. 2 – 0.09 =
17. 81 × 1 9 =
18. 1 4 of = 20
19. 71.69 ÷ 10 =
.
1
100 m
2
5
6
10
20. Write one million, one thousand, one hundred and eleven
as a numeral.
20. A regular octagon has a perimeter of 40 cm.
What is the length of one side?
cm
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 15

PROBLEM-SOLVING
FRIDAY REVIEW
Week 5
Monday
Mr Teacher's 6th Class
Homework Excuses for 1st Week of October
Dog chewed it
Left at home
1. The factors of 21 are
, ,
and .
2. 25% of 900 =
14. How many halves in 6?
15. Add brackets to this number
sentence.
8 × 3 – 45 ÷ 9 = 19
Left at school
Fell out of bag
0 2 4 6 8 10 12
1. What was the fraction of homework that fell out
of bags?
2. What fraction either left their homework at
school or at home?
50
40
30
20
10
Tuesday
1. A cake shop uses a large container of golden syrup
each week. From Wednesdays to Sundays, the chef
uses 3 5 of a container. Circle the litre level that will
be left over for Mondays.
2. On Tuesday morning, there was 5 litres left.
How much was used on Monday?
Wednesday
1. 45 hundreds, 150 tens and 150 units is equal
to .
2. What 4 coins will make €2.90?
Thursday
1. Colour to show the parallel streets.
litres
2. A tap leaks 250 m every ten minutes. How long
will it take to leak 1 litre?
3. Write the numeral one
million, one thousand
and one.
4. 73.55 ÷ 10 =
5. 6 × b = 42, so b =
6. Draw as a 90º rotation
anticlockwise.
7. What is the volume of a
box 40 cm by 20 cm by
30 cm?
8. 35 × 3 5 =
cm 3
9. What is the LCD of
3
10 and 3 4 ?
10. A fence 15 m long is drawn
at a scale of 1:100. The
length of the fence on
paper will be
11. Halve 1 2 .
cm.
12. Octahedron = faces
13. 30 × 5 × 2,000 =
16. 16, 32, 64,
17.
A
8 cm
How many of Box B will fit
evenly into Box A?
18. 5 3 10 – 7 10 =
19. What is the perimeter of
this square?
20. Multiples of 7.
Before
49
m
21. 1 2 of = 8
22. 9.1, 9.05, 9, , 8.9,
8.85
23. A bus timetable shows
8-minute intervals between
each stop. If a bus leaves at
6.04 a.m. and has 3 stops,
what time will it reach its
final destination?
Review sample
24. 10 5 =
2 cm
2 cm
1.5 m
a.m.
25. Circle –3 on the
number line.
-5 -4 -3 -2 -1
0
1
B
2 cm
After
2
3
2 cm
2 cm
4
5
minutes
16 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. What is the average?
85 75 65
2. Write these decimals from smallest to largest.
0.5 0.75 0.05
, ,
3. House plans are drawn using 1:100 as the scale. Measure
this line and indicate the actual length in metres.
m
4. 3 4 kg = g
5. 4.17 > 4.1 True False
6. 5 – 0.07 =
7. What is the area of a floor 8 m by 6 m? m 2
8. Which is the inside angle between the hands?
9. Halve 1 4 .
45º 90º 9º
10. Circle the prime number.
27 28 2 9
11. Write the numeral one million, five hundred and fifty
thousand.
12.
A
How many of Box B will fit evenly into Box A?
13. The factors of 22 are , ,
and .
14. 25,000 + 75,000 =
15. 9 + 7 × 2 =
3 cm
16. 2 5 = × × × × =
17. 2 3 = %
18. Write half past one in the
morning as 24-hour time.
19. 0.5 , 5 , , 500 , 5,000
20. What is the height of the cylinder?
B
2 cm
4 cm 2 cm
1 cm
2 cm
mm
450 mm
11
10
9
8
7
12
6
hours
1
2
3
4
5
1. What is the average?
350 550 750
2. How many thirds in 2?
3. 75% of 100 =
4. The sum of the angles in a square is º.
5. 6 2 =
6. Double 0.7.
7. Name this shape.
8. What is the simplified ratio of boys to girls
if a class has 10 boys and 20 girls?
9. Round 7.07 to one decimal place.
10. b × 12 = 108, so b =
11. Write these fractions from largest to smallest.
7
8
12. 8 4 8 + 2 7 8 =
1
4
, ,
13. What is the volume of this block?
cm 3
14. The time is 1 p.m. in Ireland and 8 p.m. on the same day
in Thailand. What is the time difference?
15. Circle –5 on the number line.
Review sample
16. 1 4 of = 10
17. Order from smallest to largest.
0.7 0.75 7.05
18. 80 × 50 =
19. 47.5 ÷ 10 =
, ,
5 cm
20. A hat contains 4 red and 6 blue marbles. What is the
chance of randomly choosing a red marble? Draw a cross
on the chance line.
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
A
3
6
3 cm
6 cm
Week 6
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 17

WEDNESDAY
THURSDAY
Week 6
1. 9 =
2. A floor is 7 m by 4 m. Area = m 2
3. Write these decimals from largest to smallest.
0.22 0.2 0.02
4. 75% of 200 =
, ,
5. What is the simplified ratio of girls to boys if a class has
20 girls and 10 boys?
6. Round 29.35 to the nearest whole number.
7. Simplify 21
24 .
8. Draw as a 90º rotation clockwise.
9. 3 3 =
10. 1 2 kg = g
11. Write six hundredths as a decimal.
12. Name this 3-D shape.
13. What is the radius of the circle?
cm
14. Circle the composite number.
15. 8 1 3 – 2 3 =
26 29 31
16. Angle a = °
as 100° + 80° + 70° + ° must equal 360°.
17. This is a net of a
18. 1 5 = %
19. (16 – 7) – (12 ÷ 4) =
20. Ivy had 5 cards (1–5) and shuffled the pack. What is the
chance of picking a 4 randomly?
.
12 cm
100° a
80° 70°
1. 25 =
2. How many of Box B will
fit evenly into Box A?
3. How many thirds in 3?
4. The angles in a rectangle = º
5. 300, 30, 3,
6. 300 ÷ c = 60, so c =
7. Which triangle has no line of symmetry?
3 c m
8. 7 357 =
9. Simplify 30
36 .
10. Write these fractions from largest to smallest.
2
5
5 c m
A
4 c m
1
10
, ,
11. A square-based pyramid has
faces.
edges.
vertices.
12. Write nine hundredths as a decimal.
13. 8.00 > 8.08 True False
14. How many degrees?
°
15. 477 m = 477
1,000 km = km
16. 2 – 0.01 =
17. 75% of 500 =
On the circle diagram, label
18. the radius ‘A’.
19. the diameter ‘B’.
20. the circumference ‘C’.
2 cm
3 c m
B
3 c m
3 c m
4 cm
1
2
4 cm
3 c m
C
3 cm
5 c m
1 cm
B
2 cm 2 cm
Review sample
5% 4% 20% 25%
18 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. A sea container measures 6 m × 10 m × 3 m. TVs
are packaged in 2 m × 3 m × 1 m boxes. How
many TVs will fit in the sea container if there are 30
TVs in each box?
2. 12 The angle of rotation from 1 to 6
1
2 is 150°. Each consecutive clock
1.
11
10
9
8
7
+
6
A A
A
1 0 8
3
4
5
A =
number is equal to ° .
Tuesday
2. What is the value of 11 ten thousands and 9 ten
thousands?
Wednesday
1. 1.65, 1.375, 1.11, 0.825, , 0.275
2. 0.75, 0.625, , 0.375, 0.25
Thursday
1. Our difference is 5, our product is 24.
The numbers are and .
2. An engineer tested a table that could hold
6 cubes, at each corner (X).
3 cubes in between each corner (Y).
1 cube in the middle (A).
1. 16 =
2. Order from smallest to
largest.
0.5 0.75 0.05
, ,
3. What is the simplified ratio
of boys to girls if there are
12 boys and 24 girls?
4.
4 cm
How many of Box B will fit
evenly into Box A?
5. 1 4 kg = g
6. c × 12 = 132,
so c =
7. What is the area of a floor
7 m by 6 m?
8. 9 – 0.01 =
m 2
9. 75,000 + 25,000 =
10. How many thirds in 4?
11. 7 427 =
12. Write twelve forty in the
morning as 24-hour time.
13. 7.07 > 7.70
True
2 cm
4 cm
hours
False
1 cm
2 cm 2 cm
14. Order these fractions from
largest to smallest.
15. Double 0.8.
16. An angle in
a rectangle = °
17. 387 m = 387
1,000 km
= km
18. 38.5 ÷ 10 =
19. House plans are drawn
using 1:100 as the scale.
Measure this line and
indicate the actual length
in metres.
m
20. 2 5 = %
21. Cards numbered 1 to 10
were shuffled. Draw a
cross to show the chance
of randomly picking
either a 7, 8, 9 or 10.
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
22. 7 6 8 + 2 4 8 =
23.
This is a net of a
Review sample
X Y X
Y A Y
X Y X
5 KG
24. 75% of 500 =
25. What is the average?
250 100 550
.
Week 6
1
2
8
10
2
5
What is the total weight limit of this table?
, ,
kg
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 19

MONDAY
TUESDAY
Week 7
1. 16 =
2. Write these decimals from smallest to largest.
0.4 0.04 0.44
3. Draw a 180º rotation
clockwise.
, ,
1. 81 =
2. What is the simplified ratio of boys to girls if there are
18 boys and 9 girls?
3. 1 5 kg = g
4. 1 4 of = 7
4. 1 – 0.98 =
5. How many thirds in 5?
6. Write the missing angle. º
7. 6 + 4 × 2 =
8. The average of these numbers is .
4 5 3 7 6
9. How many faces
has an octahedron?
10. What is the place value of the 2 in 3.812?
11. 1, 4, 9, , 25
12. The factors of 24 are , , ,
13. How many of Box B
will fit into Box A?
14. 10 2 =
, , , and .
15. 2,000 – = 1,200
16. (15 + 5) + (6 × 5) =
17. This is a net of a
2 cm
4 cm
3 cm
60°
4 cm
60°
?
1 cm
1 cm
5. Round 17.73 to one decimal place.
6. 10 5 =
7. The next prime number after 19 is .
8. 4 5 = %
9. 9,000 ÷ 90 =
10. 15% of €50.00 = €
11. Write twelve hundredths as a decimal.
12. The measurement at A =
cm
13. Name this shape.
14. Write these fractions from smallest to largest.
4
5
15. 2 5 of = 12
16. (15 + 15) + (6 × 5) =
17.
120°
9
10
, ,
a
80
A
100
Review sample
1
4
cm
60° 120°
.
Angle a = °
18. 1 8 = m
18. Write one minute past one in the afternoon as
19. 7 3
10 – 8 10 =
24-hour time.
hours
20. If there are £0.60 to €1.00, how many euro would you
get for £15.00?
€
19. 2 kg 55 g = 2 55
1,000 kg = kg
20. 8.009 < 8.02 True False
20 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 36 =
2. Write these decimals from largest to smallest.
0.06 0.6 0.006
, ,
3. 1 – 0.96 =
4. How many quarters in 2?
90° 90°
1. 64 =
2.
3.
5 cm
2 cm
2 cm
3 cm
1 cm 1 cm
How many of Box B will fit evenly into Box A?
Week 7
5. Write the missing angle. º
6. 7.006 < 7.05 True False
7. What is the average?
9 11 8 12 10
8. Draw a 270º rotation clockwise.
9. The LCD of 1 8 and 2 3 is .
10. 40,000 – = 10,000
11. 10 4 =
12. A cafe’s fish tank is 5 m × 7 m × 2 m.
The volume = m 3
13. The time is 3 a.m. in Ireland and 4 a.m.
in Sweden. What is the time difference?
14. Colour to +3 ºC on the thermometer.
15. Simplify 21
27 .
16. 2 5 kg = g
17. 3 4 5 + 1 3 5 =
18. An octahedron has faces.
19. 3 m 3 cm = 3 3
100 m = . m
20. The angle size of
a is º.
b is º.
a
30°
b
90° ?
°C
5 0
4 0
3 0
2 0
1 0
Circle the angle which is 45°.
4. 1 – 0.95 =
5. 1 8 kg = g
6. 1.85, 1.9, 1.95, , 2.05
7. 15% of €40.00 = €
8. 2 4 =
9. The next composite number after 20 is .
10. 1 3 = %
11. Write the numeral one million and ten.
12. 2.003 < 2.030 True False
13. 850 g = 850
1,000 kg = . kg
14. What is the simplified ratio of 27 boys to 9 girls?
15. If a room is 7 m by 10 m,
what is the floor area? m 2
0 0 16. Round 16.34 to one decimal place.
17. 2 3 of = 16
18. (5 × 10) ÷ (6 – 4) =
19. A cube has
°C
faces.
5 0
-1 0
-2 0
-3 0
-4 0
-5 0
Review sample
edges.
vertices.
20. Colour to –4 °C on the thermometer.
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 21

PROBLEM-SOLVING
FRIDAY REVIEW
Week 7
Monday
1. A shop advertised a TV for €800 plus VAT. If the VAT
was 20%, what was the total cost of the TV?
2.
1.
2.
€
= 1 m 2
The area of each tetromino is 4 m 2 . Which
tetromino has a different perimeter?
4 cm
A
Tuesday
The perimeter of A and B is 16 cm each.
Are the areas of A and B equal?
6 cm
A
The area of A = 36 cm 2 . The area of B = 20 cm 2 .
Perimeter of A =
Perimeter of B =
Wednesday
cm
cm
1. Which of Monday’s tetrominoes is not symmetrical?
2. Rotate the clock hand 90° clockwise.
11
10
9
8
7
4 cm
12
6
6 cm
1
2
3
4
5
A B C D
6 cm
B
Thursday
1. Cheese was priced at €5.50 per 150 g.
What was the weight of the cheese if €22.00 was
charged?
g
TV
2 cm
10 cm
B
11
10
9
8
7
2 cm
12
6
€800
+ 20% VAT
1
2
3
4
5
1. 100 =
2. Order from smallest
to largest.
0.5 0.05 0.005
3. 3 – 0.94 =
, ,
4. 2.85, 2.9, 2.95,
5. 15% of €60.00 =
€
6. How many quarters in 3?
7.
a = °
8. Write the numeral one
million, one hundred
and ten.
9. What is the volume of a
room 7 m by 3 m by 2 m?
10.
m 3
Which angle is
a right angle?
11. 2 3 of = 8
12.
3 cm
45°
90°
A B C D
3 cm
How many of Box B will fit
evenly into Box A?
13. 4 5 + 1 10 =
3 cm
1 cm
14. 50,000 – c = 35,000,
3 cm
1 cm
15. Draw as a 180º rotation
clockwise.
16. Write eleven fifty-two at
night as 24-hour time.
hours
17. The average of the numbers
8, 9, 4, 7 and 12
is .
18. A room 8 m by 5 m needs
recarpeting.
The area = m 2
19. The next prime number
after 23 is .
20. Add brackets to this number
sentence.
7 × 8 ÷ 4 × 2 = 7
21. 3 5 kg = g
22.
23.
This is a net of a
cm
A =
B =
80
A
mm
mm
24. Write seven hundredths
as a decimal.
25. 6 + 4 × 4 =
90 100
Review sample
a
.
10 20
B
2. How many days are there from the 1 st of April
to the 1 st of July?
so c =
22 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. Write 2 1 4 as an improper fraction.
2. 1 – 0.92 =
3. What is the angle between the hands at 6 o’clock?
1. Write 4 1 2 as an improper fraction.
2. How many degrees in this angle?
º
Week 8
°
4. 100 = .
5. 3 1 3 – 2 3 =
6. c ÷ 5 = 100, so c =
7. Write 1 10 as a decimal.
8. Write the missing angle.
°
9. The average of these numbers is .
5 8 6 4 7
10. 0, 1, 1, 2, 3, 5, 8, , 21
11. 12
100 + 5
100 = 0.
12.
13.
This is a net of a .
A fast train took 3 hours to complete its 750-km journey.
Its speed was an average of
14. 11 2 =
15. 9, 27, 81, , 729
16. 3 5 kg = g
17. 60% of 40 =
km/h.
18. What is the area of a piece of paper 20 cm by 10 cm?
19. How many degrees
has a hexagon?
º
cm 2
20. What is the size of each angle in a regular hexagon?
º
?
180°
180°
70°
180°
180°
65°
3. Order these decimals from smallest to largest.
0.07 0.7 0.007
, ,
4. What is the perimeter of a field 25 m long by 20 m wide?
m
5. How many quarters in 3?
6. 5 1 5 – 4 5 =
7. Write 5 10 as a decimal.
8. Draw a 270º rotation
anticlockwise.
9. (9 × 4) ÷ (4 × 3) =
10. Name this shape.
11. Write one million, one hundred and eleven as a numeral.
12. 3 5 = %
13.
How many of Box B will fit evenly into Box A?
14. 3 4 m = 3 4
1,000 =
15. A triangular prism has
Review sample
16. 42
faces. edges. vertices.
17. Colour to –3º on the thermometer.
18. Will a square and a right-angled
triangle tessellate together?
19. 15% of 80 =
10 cm
4 cm
4 cm
20. The LCD of 3 4 and 1 2 is .
.
2 cm
1 cm
1 cm
Before After 5 0
°C
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 23

WEDNESDAY
THURSDAY
Week 8
1. Write 3 1 3 as an improper fraction.
2. y ÷ 4 = 40, so y =
3. 25 =
4. 10 – 0.98 =
5. How many quarters in 4?
1. Write 2 3 4 as an improper fraction.
2. Order these decimals from largest to smallest.
0.04 0.44 0.004
, ,
3. Name this shape.
6. Write 1
100 as a decimal.
7. 3 7
10 + 2 7 10 =
8. The average of these numbers is .
25 24 30 26 20
9. Peter ate 1 5 of a pizza. Alina ate another fifth.
What fraction of the pizza was left?
10. Write these fractions from smallest to largest.
1
2
6
8
, ,
11. Write ninety hundredths as a decimal.
12. 6 1 3 – 2 3 =
13. (100 – 50) – (4 ÷ 2) =
14. Write the sizes of the angles.
a = °
b = °
c = °
15. An octahedron has faces.
16. What is the perimeter of a fence around a field 35 m in
width and 55 m in length?
m
120°
17. How many faces has a triangular prism?
18. The time is 2.20 p.m. in Ireland and 10.20 p.m. in Western
Australia on the same day. What is the time difference?
a
30°
b
c
30°
2
6
60°
60°
120°
30°
4. Place value of the 7 in 7,111,233?
5. 7,111,233 – = 7,000,000
6. 10 – 0.95 =
7. Write 5
100 as a decimal.
8. 25% of 60 =
9. 12 2 =
10. Write the missing angle.
º
11. 8 kg 12 g = 8 12
1,000 kg = . kg
12. 1 4 kg = g
13. 9,000,000 + 3,500,000 =
14.
10 cm
How many of Box B will fit evenly into Box A?
15. 6 8 = %
16. 90 × 9 = 810, 89 × 9 =
17. Write the numeral fifteen point zero two.
18. A pentagonal prism has
faces.
edges.
vertices.
3 cm
2 cm
70°
110° 70°
?
3 cm
1 cm
Review sample
2 cm
19. What is the simplified ratio of bananas to apples if a fruit
bowl contains 15 bananas and 5 apples?
20. What is the chance of rolling a two on a dice?
19. 3.3, 3.6, 3.9, , 4.5
20. Jess had 5 shuffled cards 2, 3, 5, 7 and 11. What chance
has she of selecting a 7?
% or 0.
in
24 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
1.
2.
1. B B B =
+ B
6 0
Monday
How many triangles can you find?
2. 7 A A =
+ A 0
8 A
Tuesday
Wednesday
1. The length of the prism's base is mm.
2. The width is 60% of the length = mm.
1. Classify and record.
Lines of symmetry
Vertical
Horizontal
Diagonal
490 mm 520 mm
Thursday
✔
2. 100 is a square number. It is also the sum of
2 square numbers. What are these 2 numbers?
1. Write 2 2 3 as an improper
fraction.
2. 10 – 0.92 =
3. What is the perimeter of
a field 50 m by 25 m?
m
4. Name this shape.
5. c ÷ 3 = 300,
so c =
6. What is the area of a piece
of paper 50 cm by 20 cm?
cm 2
7. 0, 1, 1, 2, 3, 5, , 13, 21
8. 100 =
9. 2.97, 2.98, 2.99,
10. 15% of 40 =
11. Write 1 10 as a decimal.
12. 800,000 + 450,000 =
13.
14.
A fast train took 4 hours
to complete its 800-km
journey. Its average speed
was
b = º
km/h.
15. How many quarters in 3?
16. 6.03 + 6.003 =
17. The average of 52, 45,
50, 55 and 48
is .
18. 5 2 5 – 4 5 =
19. 4 5 kg = g
20. Larry ate 4 10 of a
pizza and Linda ate
another 1 5 . What
fraction of the pizza
did they eat?
21. How many degrees has
a hexagon?
22. What is the chance of
picking a King from
a deck of 52 playing
cards?
in
23. What is the perimeter of
a fence around a garden
25 m in width and 35 m
in length?
24. 5 7 10 + 3 9 10 =
m
25. How many of Cuboid B
will fit into Cuboid A?
Review sample
✔
✔
110°
70°
b
110°
8 cm
1 cm
1 cm
2 cm
°
6 cm
3 cm
Week 8
and
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 25

MONDAY
TUESDAY
Week 9
1. Write 3 2 as a mixed number.
2. 5 – 0.91 =
3. 9 =
1. Write 7 3 as a mixed number.
2. What is the simplified ratio of girls to boys if
there are 15 girls and 5 boys?
4. Write 6 10 as a decimal.
5. Write the missing angle. º
6. y × 300 = 30,000, so y =
7. How many halves in 2?
8. 2, 6, 18, , 162
9. This is a net of a
10. Circle the prime number.
23 25 27
11. Write one million, two hundred thousand as a numeral.
12. 2.2 – 0.3 =
13. Draw a 180º rotation clockwise.
14. How many halves in 4? 4 ÷ 1 2 =
15. What is the place value of the 4 in 8.204?
16. 9
10 + 9
100 = 0.
17. What is the sum of the angles in a hexagon? °
.
90°
90°
?
90°
3. Simplify 80
100 .
4. 7 2 =
5. 8 8 10 + 1 2 10 =
6. 49 =
7. Write 24
100 as a decimal.
8. On a plan a wall measures 14 cm. The scale is 1:100.
How long is the wall?
m
9. The average of these numbers is .
10 3 0 7 5
10. 1 4 kg = g
11. How many fifths in 2? = 2 ÷ 1 5 =
12. 8,000 ÷ 800 =
13.
Volume = cm 3
14. What is the probability of picking a King from a deck
of 52 playing cards?
in
15. 7.1 – 0.2 =
16. 25% of 80 =
180°Review sample
180°
180°
180°
17. 4 5 = %
18. Write one million, nine hundred and nine thousand
as a numeral.
°C
18. Order these decimals from largest to smallest.
0.08 1.8 0.8
, ,
19. How many quarters in 5? 5 ÷ 1 4 =
20. 80 , 150 , 850 , , 77,850
19. A cuboid has
faces.
edges.
vertices.
20. Colour to –1 °C on the thermometer.
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
26 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Write 5 2 as a mixed number.
2. What is the simplified ratio of apples to pears if a fruit
bowl contains 12 apples and 6 pears?
1. Write 7 4 as a mixed number.
2. Write 3
100 as a decimal.
3. Name this shape.
Week 9
3. y × 700 = 70,000, so y =
4. Simplify 21
24 .
5. Write 9 10 as a decimal.
6. Write the missing angle.
º
7. The factors of 28 are 1, , , ,
and 28.
8. The price of a new phone is €300 plus 20% VAT.
The total is € .
9. 100, 99, 97, 94, 90, , 79
10.
How many of Box B will fit evenly into Box A?
7
11. 3 km 7 m = 3 1,000 km = . km
12. Colour to 0 °C on the thermometer.
13. Will a circle and a semicircle
tessellate together?
14. 12 2 =
A
20 cm
15. 75% off a €12 item = €
16. What is the length of each side of the square?
mm
5 cm
2 cm
48 mm
B
5 cm
120° 120°
60° ?
5 cm
2 cm
°C
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
4. 16 =
5. The average of these numbers is .
4 9 8 3 6
6. This is a net of a
7. 4 5 kg = g
8. 8 ÷ 1 2 = How many halves in 8 wholes? =
9. 2, 2.9, 3.8, 4.7, , 6.5
10. Order these decimals from smallest to largest.
0.5 1.5 0.55
, ,
11. There are 4 red, 3 green and 3 blue marbles in a bag.
Circle the chance of randomly selecting a red marble
on the chance line.
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
12. 10 4 =
13. 3 4 7 + 5 6 7 =
14. What is the simplified ratio of girls to boys if there are
12 girls and 4 boys?
Review sample
15. 3 4 of 100 kg = kg
16. 3 4 = %
.
17. A stack of 20c coins = €5.40
How many coins are there?
18. 1 4 of = 2
19. How many fifths in 3? = 3 ÷ 1 5 =
20. 8.9 – 0.9 =
17. This is an
isosceles triangle.
equilateral triangle.
18. 42 is a multiple of 6. True False
19. 6.4 – 0.9 =
20. Perimeter = cm
60°
60°
60°
7 cm
2 cm
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 27

PROBLEM-SOLVING
10
FRIDAY REVIEW
Week 9
1.
Monday
A fast train travels at 400 km/h. After a 2 1 2 -hour
non-stop journey, what distance has the train
travelled?
km
2. PIANO MAN
Repaired black and white keys
€300
+ 20% VAT € A
TOTAL € B
Tuesday
Complete the magic squares.
1. 6 2.
7
9 2
Wednesday
1. It is 10.35 a.m. In twenty minutes time,
the minute hand will have rotated
°.
2. Draw a clock hand, rotated
90° anticlockwise from 2.
Thursday
1. What is the angle shown?
°
160
170
150
140
5
4 3
11
10
9
8
7
130
120
110
12
6
100
6
1
2
3
4
5
90
80
11
10
9
8
7
70
60
50
12
6
40
30
1
2
3
4
5
20
1. Write 9 4 as a mixed number.
2. 64 =
3. 1 4 of = 8
4. Write 7 10 as a decimal.
5.
120° 120°
60° c
Angle c = °
6. What is the
perimeter of
this square?
7. 90 , 140 , 640 ,
8. 3 10 + 3
100 = 0.
9. This is a net of a
10. Simplify 15
24 .
, 55,640
mm
11. A stack of 20c = €7.20.
How many coins are there?
12. y × 700 = 70,000,
so y =
65 mm
.
16. Draw as a 270º rotation
anticlockwise.
17. 5,000 ÷ 500 =
18. Order from smallest
to largest.
1.4 0.04 0.44
, ,
19. Name this 3-D
shape.
20. 3 ÷ 1 4 =
21. The average of the numbers
4, 6, 3, 0 and 2 is
.
22. Name this 2-D shape.
23. What is the volume
of a sea container
15 m × 4 m × 2 m?
m 3
24. What is the simplified ratio
of girls to boys if there are
20 girls and 5 boys?
Review sample
25. 3 4 kg = g
13. Write 75
100 as a decimal.
2. This trapezium is made up of two scalene triangles.
Angle a = °
Angle b = °
a
35°
85°
b
40°
35°
14. 7 5 7 + 4 6 7 =
15. Write 2 2 3 as an improper
fraction.
28 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 1 2 = = %
2. 2 ÷ 1 2 =
3. 4 =
4. 4 2 =
5. Write 7 10 as a decimal.
6. 3,000 ÷ 300 =
7. y × 800 = 80,000, so y =
8. Name this 2-D shape.
9. 1 8 = m
10. The perimeter of a regular pentagon with 9-cm sides
= cm.
11. 40 + y = 50 × 2, so y =
12. 10 – 0.93 =
13.
Area of rectangle = cm 2
14. Perimeter of rectangle = cm
15. 1, 1.8, 2.6, 3.4, , 5.0
16. The LCD of 2 10 and 3 8 is .
17.
6 cm
10 cm
How many of Box B will fit evenly into Box A?
18. 11
12 – 3 12 =
19. 0.7 + 0.8 =
3 cm
5 cm
10 cm
20. Complete the number line.
.
1 cm
5 cm
1 cm
1. 1 4 = . = %
2. Write the missing angle.
º
3. The radius of a circle is 5.2 cm.
What is the diameter?
cm
4. The factors of 30 are 1, , ,
5. This is a net of a
, , , and 30.
6. Write one hundredth as a decimal.
7. What is the LCD of 2 5 and 1 4 ?
8. What is the simplified ratio of boys to girls
if there are 21 boys and 7 girls?
9. A jar contains 5 green marbles, 4 orange marbles and
11 red marbles. What is the probability of choosing an
orange marble?
in
10. Record the above probability on the chance line.
11. 3 4 – 1 2 =
12. Double 2.7.
13. Draw as a 180º
rotation clockwise.
14. Write these decimals from smallest to largest.
0.8 0.08 8.8
, ,
15. How many quarters in 2? 2 ÷ 1 4 =
16. 3 4 kg = g
17. Round 23.88 to one decimal place.
.
100°
110° 110°
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
Review sample
?
Week 10
–3 –2 –1
+1 +2 +3
18. Write the values of a and b on the number line.
– 6 – 4
+2 +4 +6
19. 0.9 + 0.7 =
a
b
20. Write 4 1 3 as an improper fraction.
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 29

WEDNESDAY
THURSDAY
Week 10
1. 1 8 = . = %
2. What is the place value of the 2 in 8.712?
3. 400 ÷ y = 50, so y =
4. 2 ÷ 1 3 =
5. Write these decimals from largest to smallest.
0.01 0.11 0.1
, ,
6. How many days altogether are in March, April and May?
7. 5 – 0.92 =
8. 2 5 kg = g
9. 15% of 100 =
10. 3 5 = %
11. (200 × 10) – (5 × 10) =
12. How many degrees? °
13. Halve 4.9.
14. Circle the prime number.
15. Write 15
100 as a decimal.
5 10 15
16. How many of Box B will fit evenly into Box A?
17. Area of rectangle = cm 2
18. Perimeter of rectangle
10 cm
8 cm
4 cm
2 cm
2 cm
2 cm
1. 80% = 5
= 0.
2. 2 ÷ 1 5 =
3. 64 =
4. If a wall is 5 m long and the scale is 1:100, how long is
the wall on the plan in centimetres?
cm
5. Round 12.27 to one decimal place.
6. Simplify 30
40 .
7. Write 2 10 as a decimal.
8. 25% of 8 =
9. 3, 3.7, 4.4, , 5.8
10. The angles in a triangle add up to º.
11. The diameter of a circle is 11 cm. What is the radius?
cm
12. The time is 3.30 p.m. in Ireland and 10.30 a.m. in New
York on the same day. What is the time difference?
13. 2.3 – 0.8 =
14. The factors of 32 are , , ,
, and .
15. This is a net of a .
Review sample
8 cm
2 cm
16. Circle the composite number.
17 23 25
17. 6.50 > 6.051 True False
= cm
18. Adam turned from north to south. He turned °.
19. 10 6 =
20. This is a net of
A.
B.
C.
B
19. 2 3 = %
20. Write 2 2 3 as an improper fraction.
A
C
30 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. Which letter fits on the
blank face of the cube?
A
B C D
E
F
C
1. 1 4 = . = %
2. 3 4 – 1 2 =
3. 2 ÷ 1 3 =
4. 81 =
5. Write 4 10 as a decimal.
19. The factors of 18 are
1, ,
, ,
and 18.
20. How many degrees?
Week 10
2. Which letter is opposite A?
Tuesday
The tachometer reads the spinning of an engine.
(RPM = revolutions per minute)
1. How many RPM?
2. How many RPM?
Wednesday
1.
CORK 207 KM
50 km ago, a lorry driver passed this sign.
What distance is remaining to Cork?
km
LITTLE GOLDTOWN 805 KM
2.
The distance between Little Goldtown and Old
Goldtown is
(a)
(b)
(c)
107 km BIG GOLDTOWN
805 km + 107 km.
805 km – 107 km.
107 km + 107 km + 805 km.
Thursday
1. Pirate Pete was given 500 m of rope. He was
instructed to cut the rope into 4 equal lengths.
What will each of the new rope lengths be?
m
OLD GOLDTOWN
1
1
2
2
0
0
3
3
4
RPM
1x1000
4
RPM
1x1000
5
5
8
8
6
7
6
7
107 KM
6. 25% of 10 =
7. 3.7 – 0.9 =
8. 2 ÷ 1 4 =
9. 0.9 + 0.6 =
10. Write 10 3 as a mixed
number.
11. y × 50 = 3,000,
so y =
12. The diameter of a circle is
15 cm. What is the radius?
cm
13. 2.6, 3.2, 3.8,
14.
10 cm
How many of Box B will fit
evenly into Box A?
15. What is the perimeter of
a regular hexagon with
6-cm sides?
cm
16. Double 3.7.
10 cm
17. What is the LCD
of 2 5 and 3 4 ?
10 cm
2 cm
1 cm 1 cm
21.
°
This is a net of
A.
B.
C.
C
22. Order from smallest to
largest.
0.9 0.09 1.9
23. 10
12 – 4 12 =
, ,
24. 1 5 kg = g
Review sample
A
25. The time is 4.15 p.m. in
Ireland and 11.15 a.m. in
New York on the same day.
What is the time difference?
B
2. A match started at 2.15 p.m. It finished 2 1 4 hours
later, but Dad stayed chatting to his friends for an
extra half an hour. What time did Dad leave the
stadium?
p.m.
18. Write the
missing
angle.
°
90°
110° 110°
?
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 31

MONDAY
TUESDAY
Week 11
1. Choose the correct number. 300 metres below sea level.
2. 3 2 + 4 2 =
–300 m 300 m
3. The temperature is –3 ºC.
What will it be if it rises by 6 ºC? ºC
4. Write the numeral one hundred and
ten thousand.
5. Jack had €80.00. He spent 60% of it on
football boots. How much money had he left?
€
6. 1
10 = %
7. 2 ÷ 1 4 =
8. Draw lines to match the lines of symmetry.
2 0 4
9. Write 35
100 as a decimal.
10. If there are US$0.90 to €1.00,
how many euro for US$1.80? €
11. 5 ÷ 0.5 =
12. Draw lines to match the angle sizes.
60° 90° 120°
13. 10% of €50.00 = €
14. Can a regular hexagon tessellate? Yes No
15. 6 2 =
16. 1 4 of = 2
17. Draw a net of a cuboid.
18. 2 ÷ 1 3 =
19. Write these fractions from smallest to largest.
2
3
1
6
, ,
20. Liam selected a cube and kept rolling an even number.
Tick Liam’s cube.
B
C
A
2 4 6
4 2 6
2 4 1
6
5
3
5
9
2
5 4 3
6
1
°C
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
1. Circle the smaller number.
145,022 154,020
2. Choose the correct number. 50 metres above sea level.
–50 m 50 m
3. What is the average shoe size of 6, 7 and 5?
4. Order from smallest to largest.
5. 36 =
100% 10% 50%
6. 4, 14, 34, 64,
7. Area = cm 2
, ,
8. Perimeter = cm
9. 2 10 = %
10. b = º
11. Write these decimals from smallest to largest.
4.5 4.05 4.55
12. 1 5 kg = g
, ,
13. What is the angle from north to east?
°
14. Round 5.26 to one decimal place.
15. The product of two prime numbers is 33.
a × b = 33
a = b =
16. 10 × = 8 × 5
17. 1 ÷ 0.5 =
18. 2 3 + 2 3 =
19. Write the next 3 multiples of 6.
36, , ,
3 c m
6 c m
3 c m
20. What is the simplified ratio of chocolates to jelly sweets
if there are 3 chocolates and 12 jelly sweets?
45°
3 c m
90° b
Review sample
3 c m
W
N
S
6 c m
E
32 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Circle the larger number.
2. 5 2 + 2 2 =
560,040 560,440
3. Write 3 1 3 as an improper fraction.
4. Write the numeral two hundred and two thousand.
5. Area = cm 2
6. Perimeter = cm
7. The cricket team scores 10, 30, 38 and 30.
What is the average?
8. 3 ÷ 1 4 =
9. Write 7 10 as a decimal.
10. Which is the end digit (unit) for 717 × 7?
7 9 4 2
11. Each angle in a rectangle has º.
12. The factors of 21 are , ,
and .
13. 3
10 = %
14. What shape is the sign?
15. Round 2.37 to one decimal place.
16. How many quarters in 4?
2 c m
3 c m
17. A rolled dice has a in chance of
landing on a ‘6’.
18. The product of 2 prime numbers is 14.
2 cm
5 c m
2 cm
House
for sale
4 cm
1. Circle the smaller number.
23,050 203,050
2. The temperature is –4 ºC.
What will it be if it rises by 5 ºC? ºC
3. Draw double the size of this square.
Show the measurements.
4. By how many times has the area of the square increased?
12 4 6
5. Order from largest to smallest.
25% 20% 30%
, ,
6. Write 7 4 as a mixed number.
7. What is the average of these numbers?
4 6 2
8. 80 + y = 140, so y =
9. 25 =
10. What is the angle
from north to south? °
11. Write the missing angle. °
12. Write these decimals from largest to smallest.
2.005 2.5 2.05
13. 5 10 = %
14. 3 5 kg = g
, ,
Review sample
2 c m
2 c m
15. Round 10.72 to one decimal place.
16. Write these fractions from largest to smallest.
W
N
S
E
120°
°C
60° 60°
?
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
Week 11
c × d = 14
1
5
9
10
1
2
c = d =
19. A pair of €50 jeans have 20% off.
What is the new price? €
20. Colour 4 5 .
, ,
17. 2 × = 4 × 4
18. 60 + 40 = 30 + y, so y =
19. 1 3 5 + 1 4 5 =
20. If there are US$0.90 to €1.00, how
many euro would you get for US$9.00? €
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 33

PROBLEM-SOLVING
FRIDAY REVIEW
Week 11
Monday
1. Which letter is missing from the blank face?
2. Which letter is opposite B?
Tuesday
1. Alex had 10 cards numbered from 35 to 44. When
shuffled, what is the chance of choosing an odd
number < 40? Place a blue dot on the chance line.
2. Place a red dot for choosing an even number > 40.
Wednesday
1. Which is not a net of a cube?
2. After 25 laps of the 50-m pool and with 55 laps
to go, Liam had just
m left of his
training programme.
Thursday
1. Luke is shorter than Ethan but taller than Tim.
Order the heights of the boys.
2.
tallest
A
F B E
C
D
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
A B C
2 4 9
+ 3 4
6 0 3
, ,
shortest
1. Circle the larger number.
45,005 45,050
2. 40 + = 130
3. 2 2 + 6 2 =
4. 3 5 + 3 5 = =
5. Round 1.47 to one
decimal place.
6. If there are US$0.90 to
€1.00, how many euro
would you get for
US$1.80?
€
7. 3, 8, 15, 24,
8. 10% of €30.00 =
€
9. Write 1 1 5 as an improper
fraction.
10. 100 =
8 cm
3 cm
4 cm
9 cm
6 cm
11. Area = cm 2
12. Perimeter = cm
13. What 2 prime numbers are
missing?
× = 35
14. Write the numeral three
hundred and thirty
thousand.
4 cm
15. What is the average of the
test scores 8, 5, 9 and 2?
16. What is the angle from
north to east?
17. The temperature is –2 ºC.
What will it be if it rises
by 5 ºC?
°
ºC
18. Choose the correct number.
A freezer's temperature.
–18 °C 18 °C
19. What is the simplified ratio
of pink sweets to yellow
sweets if there are 5 pink
sweets and 15 yellow
sweets?
20. 2 ÷ 1 5 =
21. 10 × = 20 × 2
22. Which cube has a better
chance of rolling an odd
number?
23. 4 20 = %
24. 49 × 8.
The end digit (unit) will be
25.
A
4 5 6
1 2 3
Review sample
.
°C
N
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
B
6 8
5 4
2 10
120º 90º
240º 170º
34 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 250 g = 1 4 kg = 0. kg
2. Circle the smaller number.
23,900 203,900
1. To measure a pencil you would use
a ruler.
a trundle wheel.
2. 500 g = 1 2 kg = 0. kg
3. The temperature is –5 ºC.
1 0
3. The angles in all quadrilaterals add up to º.
0
What will it be if it rises by 3 ºC?
-1 0
-2 0
ºC
-3 0
-4 0
4. 0 A 90 B 180 C 270 D 360
-5
4. The time is 10.20 a.m. in Ireland and
3.20 p.m. in India on the same day.
A = B = C = D =
What is the time difference?
5. The angles in all triangles add up to
6. Draw 4 axes of
º.
5. Write 10 3 as a mixed number.
6. Write the numeral one million.
symmetry on this square.
7. 219 × 9.
Which will the end digit (unit) be?
7. What is the simplified ratio of girls to boys if there are
15 boys and 5 girls?
8 1 9 3
8. What is the angle from north to south? N
8. What is the simplified ratio of boys to girls if there are 18
°
W
E
girls and 6 boys?
9. 0.7 = %
7.
10. 4 ÷ 1 S
6.
3 =
9. Plot the coordinates
5.
4.
11. Write 43
100 as a decimal.
of C6, D5, E4 and F3. 3.
2.
12. What kind of irregular shape is the sign?
1.
A B C D E F
10. In a class test, the boys’ top three marks were 80%, 70%
13. Order from smallest to largest.
20% 2% 45%
and 60%. What was the average score? %
, ,
11. 5 + c = 3 × 5, so c =
12. 62 – 42 =
14. A farm is 5 ha in size. It is 1,000 m by m.
13. 1 hectare (ha) = m 2
15. 64 =
14. 0.4 =
15. 5 ÷ 1 2 =
%
16. 20% of €80 = €
17. Round 5.89 to one decimal place.
16. Change 17 5 to a mixed number.
18. 18:00 hours = a.m./p.m.
17.
8 m
19. Circle the prime number.
10 13 16
4 m
Area = m 2
20. Make the largest number possible from these digits.
4 m
4 8 5 1 0 9
2 m
3 m
5 m
°C
5 0
4 0
3 0
2 0
Review sample
Week 12
18. Perimeter = m
19. 81 =
20. A farm is 400 m by 500 m. Its area equals
hectares.
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 35

WEDNESDAY
THURSDAY
Week 12
1. 750 g = 3 4 kg = 0. kg
2. If there are US$0.90 to €1.00, how many euro would you
get for US$4.50?
€
3. 3, 5, 8, 12, , 23
4. Circle the larger number. 603,020 630,020
5. a = º
6. % = 0.9
7. 2 ha = m 2
8. What shape does this net make?
9. The average of these numbers is .
6 8 10 12
10. What angle is a? °
11. 5 2 – 3 2 =
12. 419 × 37.
The end digit (unit) will be
6. 8. 3. 4.
13. 47 × 37 = odd or even?
14. Order from largest to smallest.
7% 77% 70%
, ,
15. A school used 15,000 of water in a school week.
16.
How many litres per school day?
If you rotate the triangle 180° clockwise, which
is its new position?
17. 80 + 40 = 60 × y, so y =
18. What is the simplified ratio of apples to pears if there
are 10 apples and 12 pears?
70°
a 70°
a
110°
1. 200 g = 1 5 kg = 0. kg
2. Draw double the size of
this rectangle and
write the measurements.
3. By how many times has the area increased?
2 4 6
4. The temperature is –3 ºC.
What will it be if it rises by 3 ºC? ºC
5. Parts of Australia are 8 hours ahead of GMT.
If it is 9.15 a.m. in London, what time is it
in Australia?
6. Write the numeral one million and ten.
7. b = º
8. Draw one diagonal line of symmetry
on this pentagon.
9. The average of these numbers is .
9 11 13 11
10. If there are US$0.90 to €1.00, how
many euro would you get for US$18.00? €
11. 48 × 39 = odd or even?
12. 8 2 – 2 2 =
13. What angle is a? º
14.
If you rotate the triangle 90° clockwise, which is its new
position?
2 m
15. Area = m 2
16. Perimeter = m
17. The product of 2 prime numbers is 26.
a × b = 26 a = b =
18. 10 4 =
1 cm
2 cm
50° 40°
2 m
a 60°
Review sample
b
3 m
3 m
2 m
2 m
°C
2 m
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
6 m
19. Round 6.08 to one decimal place.
19. 6 3 5 + 2 2 5 =
20. 6 × = 3 × 8
20. Which is the scale of a house plan if a wall
is shown as 15 cm but is actually 15 m?
1:10 1:100 1:1,000 100:1
36 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. What is the diameter of this cylinder-shaped bin?
100 mm
mm
1 metre
2. If the bin is 2 3 of the height of the pole,
find its height.
mm
Tuesday
1. A car consumes 5 litres of fuel per 100 km.
How far can it travel with 25 litres of fuel?
km
2. Which angles are
obtuse?
acute?
1,800 mm
and
and
Wednesday
1. Colour 1 3 red and 1 4 blue.
2. What fraction is not coloured?
Spinach
biscuits
250 g
Thursday
NEW
200 mm
1. What is the weight of the new pack? g
2. The new pack is priced at €1.25.
How many packs can you buy with €5?
d
a
Spinach
biscuits
20% more
b
c
1. 400 g = 2 5 kg =
0. kg
2. What is the average of
10 12 8 10?
3. A field has an area of 2
hectares. Its length is
4,000 m. Its width is
4. Draw a net of a
tetrahedron.
m.
5. Parts of Australia are 8
hours ahead of GMT. If it is
8.15 a.m. in London, what
time is it in Australia?
6. 10 2 – 5 2 =
7. Write 3 2 3 as an improper
fraction.
8. 0.3 = %
9. 9, 18, 27, 36
Rule =
10. 20% of €70.00 =
€
11. 29 × 64 = odd or even?
12. 6 ÷ 1 2 =
13. A school uses 18,000 litres
of water in 3 days. What is
the average usage per day?
14.
Imagine the triangle
has been rotated 270°
clockwise. Circle its new
position.
15. The angles in a triangle add
up to
16. 10 5 =
º.
17. Circle the smaller number.
507,025 57,025
18. 36 =
19. Write 25
100 as a decimal.
20. Insert the correct sign
(, =).
(88 ÷ 11) ( 2 3 of 21)
4 m
1 m
1 m
1 m
2 m
2 m
2 m
21. Area = m 2
22. Perimeter = m
23. Double the rectangle and
label the measurements.
24. Draw the axes of symmetry
on this pentagon.
Review sample
3 cm
2 cm
25. The temperature
is –4 ºC. What
will it be if it
rises by 3 ºC?
ºC
1 m
°C
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
Week 12
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 37

MONDAY
TUESDAY
Week 13
1. 600 g = 3 5 kg = 0. kg
2. List the possible outcomes of tossing a coin.
and
3. 100 × a = 1,000, so a =
4. Circle the smaller number.
1. 333 g = 1 3 kg = 0. kg
2. If a car travels 6 km in 10 minutes, how far can it travel
in 1 hour? km
3. 2 3 + y = 1, so y =
4. Round 5.534 to two decimal places.
120,250 102,255
5. Round 6.073 to 2 decimal places.
6. 45, 35, 25, 15 Rule =
7. 1% = 0.01 = 100
8. 0.07, 0.08, 0.09,
9. Colour 2 10 in blue.
10. If a car is travelling at 60 km/h, how far does it travel
in 15 minutes?
km
11. 25 hundreds, 250 tens and 50 units is equal to
12. Write 2 3 4 as an improper fraction.
13. 9 =
.
14. To measure the playground you would use a
ruler.
trundle wheel.
15. 8.08 > 8.1 True False
16. A standard house plan is written in mm and the scale is
generally 1 mm = 100 mm or 1:100. How long is a wall in
mm if it measures 50 mm on the plan?
mm
1st Class Number of Teeth Lost in 2 Months
17. 32 pupils were surveyed.
How many had not lost teeth?
18. What fraction lost 4 teeth?
5. Write the numeral one hundred and eleven thousand
and eleven.
6. The temperature is –2 ºC. What will it be
if it rises by 5 ºC?
ºC
7. 2% = 0.02 = 100
8.
Rotate the cone on its axis clockwise 90°
and draw the new position.
9. 200 m + 1 4 + m =1
10. The diameter of this circle is cm.
11. 6, 12, 18, 24 Rule =
12. Write 16 3 as a mixed number.
13. –2 < 1 True False
14. 3 ÷ 1 3 =
15. Draw a net of a triangular prism.
16. Order from smallest to largest.
Review sample
2
1
4
0
3
75% 57% 7%
, ,
17. 8 20 = 100 = %
18. 10 5 =
°C
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
5 c m
19. What percentage of the class lost 1 tooth?
%
20. 3 8 of the class lost teeth.
19. If the scale is 1:100 on a plan, and a fence is 7,500 mm,
how many millimetres will it measure on the plan?
mm
20. What number?
15 ten thousands, 10 thousands and 500 tens
=
38 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 800 g = 4 5 kg = 0. kg
2. If there are US$0.90 to €1.00, how many euro
for US$2.70?
€
3. 40% of €400.00 = €
4. Round 7.239 to two decimal places =
5. The angles in all quadrilaterals add up to °.
6. 9 2 + 2 2 =
7. y = °
8. Write 5 1 2 as an improper fraction.
9. Solve 72 × 29 using your knowledge of odd
and even numbers.
2,809 2,803 2,088 2,801
10. Area = cm 2
11. Perimeter = cm
12. 4 =
13. Parts of the USA are 6 hours behind GMT. If it is 4.20 p.m.
in London, what time is it in the USA?
14. y + 6 10 = 1, so y =
15. 7
100 + 7 10 = 0.
16.
Rotate the triangle 90º anticlockwise. Draw the
new position.
17. 4 ÷ 1 4 =
18. If a car travels 8 km in 10 minutes, how far can it travel
in 1 hour?
km
6th Class’s Favourite Ice Cream Flavours
19. How many liked vanilla?
y
40°
1. Round 4.075 to 2 decimal places.
2. List the possible outcomes of rolling a dice.
, , , , and
3. Circle the largest number.
750,050 750,005 750,550 750,505
4. What is the diameter
of this circle?
cm
5. 10 2 + y = 30 2 , so y =
6. Simplify 12
15 .
7. 9
100 = 0.09 = %
8. Draw the 6 axes of symmetry on
this hexagon.
9. 2.5, 5, 7.5, 10 Rule =
10. 6 2 – 5 2 =
11. 64 × 29 = 1,856 1,858 1,853 1,852
12. –5 > 3 True False
13. How many eighths in 2?
14. Draw a net of a
square-based pyramid.
15. What is the simplified ratio of pens to pencils if there are
12 pens and 8 pencils?
Review sample
Lemon
32
16. 1 2 > 1 3 True False
17. 8 2 =
18. If a car travels 10 km in 6 minutes, how far can it
travel in 1 hour?
km
19. Write the numeral one million, one thousand and one.
Week 13
20. What percentage liked mint?
%
Vanilla
Mint
8
Choc
8
20. A house plan scale is 1:100. A room measures 30 mm
by 40 mm on the plan. How many square metres is the
room?
m 2
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 39

PROBLEM-SOLVING
FRIDAY REVIEW
Week 13
Monday
1. Peter thought of a number. He added 10 and
doubled it. His answer was 24.
What number did Peter think of?
2. Niamh thought of a number. She divided it by 3,
multiplied it by 4 and added 50. Her answer was 62.
What number did Niamh think of?
1. Which number will
be on the top face?
2. Which number will be
on the blank face?
How many cupfuls?
Tuesday
Wednesday
1. 2.
Thursday
1. A safe holds 20 × €100, 50 × €50
and 250 × €20.
The total amount is € .
2. Alex halved an amount of money, multiplied it by 3
and added 10. The answer was €100. What amount
of money did he start with?
€
1 4
2 5
3 6
100 m 250 m
5
3
2
5
1. 750 g = 3 4 kg =
0. kg
2. Write 2 3 5 as an improper
fraction.
6th Class Favourite Pets
32 pupils were surveyed.
3. How many liked
dogs?
cats?
4. Simplify 14
20 .
5. Circle the smaller number.
505,025 505,250
6. 0.3, 0.6, 0.9, 1.2
Rule =
7. 100 =
8. 8% = 8
100 = 0.
9. 2
100 + 2 10 = 0.
10. Write the numeral five
hundred and five thousand
and fifty-five.
11. Diameter of a circle with a
radius of 3 cm
= cm
12. If there are US$0.90
to €1.00, how many
euro would you get for
US$2.70?
€
Birds
Fish
Cats
Dogs
14. Parts of the USA are 6 hours
behind GMT. If it is 3.35 p.m.
in London, what time is it in
the USA?
15. The temperature
is –4 ºC. What will
it be if it rises
by 7 ºC?
16.
ºC
Draw the axes of symmetry
on this octagon.
17. 3 4 of = 12
18. Write 17 3 as a mixed number.
19. 2.02 < 2.1
True
False
20. Round 4.072 to 2 decimal
places.
21. A house plan scale is 1:100
and a room measures 2,000
mm by 4,000 mm. How
many square metres is the
room?
Review sample
m 2
22. 35 hundreds, 35 tens and
35 units =
23. How many quarters in 5?
24.
°C
5 0
4 0
3 0
2 0
1 0
0 0
-1 0
-2 0
-3 0
-4 0
-5 0
13. If a car travels 5 km in 10
minutes, how far can it
travel in an hour?
km
Colour 4 10 in blue.
25. 5 ÷ 1 2 =
40 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 1.5 + 2.5 =
2. 2 1 2 + y = 3, so y =
3.
1. 3.25 + 4.5 =
2. A room measures 2,000 mm by 3,500 mm and the plan
shows a scale of 1:100. On paper, it measures 20 mm by
mm.
Week 14
Rotate the triangle 270° clockwise.
Draw the new position.
4. 2 4 5 kg = g
5. 0.25 + 0.75 =
6. Round 2.375 to one decimal place.
7. Area = cm 2
8. Perimeter = cm
9. What is the simplified ratio of blue cars to white cars if
there are 100 blue and 300 white cars?
10. Order from lowest to highest.
50% of 60 25% of 100 60% of 40
11. 233 m = 233
1,000 km = 0. km
12. 9 2 3 + 9 2 3 =
13. 81, 72, 63, 54 Rule =
14. 0 > –2 True False
15. Double 1 4 .
16. Draw lines to match the units for each answer.
91 × 9 3
36 × 9 9
47 × 9 4
17. 36 =
18. What is the radius of this circle?
cm
2 c m
1 c m 1 c m
1 c m
3 c m
19. France is 1 hour ahead of GMT. If it is 11.10 a.m. in
London, what time is it in France?
2 c m
3. 1 2 < 1 5 True False
4. 20 30 50 20
The average is .
5. List the possible outcomes of a 2 coin toss.
, , ,
6. Circle the larger. 10% of 80 5% of 100
7. 505 m = 505
1,000 km = 0. km
8. If you rotate the triangle 90° anticlockwise, which is
the new position?
9. Round 9.539 to two decimal places.
10. Draw the axis of symmetry on the trapezium.
11. If there are ¥116 to €1.00, how
many euro would you get for ¥232? €
12. Draw lines to match the solutions.
91 × 9 423
36 × 9 819
47 × 9 324
13. 11
100 = 0.11 = %
14. Write 20
100 as a decimal.
15. What is the volume of a fish tank
5 m long by 3 m wide by 4 m high? m 3
16. Order from smallest to largest.
17. Halve 1 4 .
90% 9% 99%
, ,
18. Write the numeral four million, four hundred
and thirty-two thousand and thirty-two.
A B C
Review sample
19 cm
3 m
5 m
4 m
20. If there are ¥116 to €1.00, how many euro would
you get for ¥580?
€
19. 6 1 2 + y = 7, so y =
20. If a car travels 9 km in 10 minutes, how far can it travel
in 1 hour?
km
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 41

WEDNESDAY
THURSDAY
Week 14
1. 6.3 + 2.1 =
2. Circle the smaller.
3.
10% of 70 20% of 50
15%
VOLCANOES
WAS
€20
1. 8.75 + 10.75 =
2. If a car travels 12 km in 10 minutes, how far can it
travel in 1 hour?
km
3. Parts of Africa are 2 hours ahead of GMT. If it is
10.30 p.m. in London, what time is it in Africa?
€ NOW 4. 0.01 > 0.0009 True False
5. Area = m 2
4. 925 m = 925
1,000 km = 0. km
6. Perimeter = m
4 m
5. Draw another rectangle
8 m
3 m
with the measurements
reduced by one half. (1:2)
6 m
7. 15% of €40.00 = €
8. 3 303 m = .
6. By how many times has the area been reduced?
9. Circle the smaller.
4 1 8
20% of 10 1% of 100
7. 1.5, 3.5, 5.5, 7.5 Rule =
10. Draw the rectangle 3 m
8. y = °
double the size
2 m
y 100°
(2:1). Label the
measurements.
9. Round 12.079 to two decimal places.
11. By how many times has the area increased?
10. Draw lines to match the solutions.
(Look at the units to help.)
12. –4 < 0 True False
140 × 7 1,218
13. 0.04 = 4
100 = %
174 × 7 980
153 × 7 1,071
14. 870 m = 870
1,000 km = 0. km
11. 3 ÷ 1 4 =
12. 10 2 – 8 2 =
15. Write the numeral ten million.
13. What is the length of
6.5 cm 16. 3.45 + 2 1 2 =
one side of the square?
14. y × 10 = 5, so y =
cm
17. 2 6 =
18. 6 ÷ 1 4 =
15. 100% = 100
100 =
Favourite Sauces
Review sample
3 m
3 m
1 m
3 m
4 m
5 m
16. A room measures 5,000 mm by 6,800 mm.
A plan has a scale of 1:100. On paper it will measure
Chilli
Boys
50 mm by mm.
Garlic
Girls
17. Simplify 20
24 .
18. Angle a = °
110°
90°
a
Tomato
0 1 2 3 4 5 6 7
19. 2 4 =
19. How many children were surveyed?
20. –5 > –3 True False
50°
20. The least favourite sauce of boys and girls is
.
42 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. Write the numbers 5, 2, 3 and 1 on the blank
spinner, so that
2.
• 5 has a 0.5 chance.
• 2 and 3 are both 1 8 likely.
• 1 has a 25% chance.
X = Y = Z =
Tuesday
1. We know a straight angle is 180°. Solve the size of
Angle y.
y = °
2. Which diagram is the top view?
Wednesday
1. Four school taps were each leaking at one quarter
of a litre every hour. From 6 a.m. to 6 p.m., how
much water was lost?
2. How much water would be lost in 10 days?
Thursday
1. The difference is 3, the product is 54 and the
sum is 15. The numbers are
2.
+
+
W =
X Y
X
Y Z Z
W W W
W
1 , 0 0 8
and .
A
B
y
45°
C
D
1. 4.25 + 2.5 =
2. If there are ¥116 to €1.00,
how many euro would you
get for ¥580?
€
3. 3 5 kg = 0.6 kg = g
4. Circle the larger.
5% of 40 20% of 50
5. Draw double the size of this
rectangle. Label the new
measurements.
10 mm
6. By how many times has the
area increased?
7. The average of 6, 11, 12
and 15 is
.
8. 250 , 1,000 , 4,000 ,
16,000 ,
9. 15% of €30.00 =
€
10. 345 m = 345
1,000 km =
0. km
11. 2 5 =
8 mm
12. 8.2, 8, 7.8, 7.6
Rule =
13. 1 2 – 1 4 =
14. y = °
15. A room measures 4,000
mm by 5,500 mm and the
plan has a scale of 1:100.
On paper, using the scale,
it measures
40 mm by mm.
16. Round 10.298 to two
decimal places.
17.
Draw the axis of symmetry
on the isosceles triangle.
18. Double 1 4 .
19.
20.
The perimeter of the
square is
cm.
What is the volume of the
fish tank? m 3
21. There are 3 fish per cubic
metre. How many fish are
there?
22. Halve 1 2 .
23. Parts of Africa are 2 hours
ahead of GMT. If it is 11.15
p.m. in London, what time is
it in Africa?
24.
11 cm
Review sample
y
105°
3 m
5 m
At 11 km in 10 minutes,
what distance is covered
in an hour?
km
25. Use your knowledge of
units to match these.
147 × 7 1,043
149 × 7 1,015
145 × 7 1,029
2 m
Week 14
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 43

MONDAY
TUESDAY
Week 15
1. 2.05 + 6.7 =
2. 0.5 = 1 2 True False
3. Write the coordinates.
A B
C D
5
4
3
2
1
0
D
A
C B
1 2 3 4 5 6 7
1. 4.25 + 6.15 =
2. Draw this shape double the
size and label the new
measurements.
2 m
2 m
4 m 2 m
2 m
4 m
4. Parts of South America are 4 hours behind GMT. If it
is 2 a.m. in London, what time is it in South America?
5. Orla scored 9 10 in a spelling
test. Write this as a percentage. %
6. Change 10 3 7 to an improper fraction.
7. What is the value of the 2 in 7.002?
8.
If you rotate the triangle 270°
clockwise, which will be the new position?
1 2 3 4
9. Outcomes of H H T T H T T H
a 2 Coin Toss
0 0.25 0.50 0.75 1.0
The chance of 2 tails is .
The chance of a head and a tail is .
10. 3.2 – 0.3 =
11. A farm is 400 m by 500 m.
What area is it? m 2
12. y = °
13. 37
10 + 25
10 =
14. Double 2.7.
15. 1, 1.8, 2.6, 3.4,
16. 820 m = 820
1,000 km = 0. km
17. 25 × 17 × 4 =
A B C
18. Which set shows multiples of 4 and 6?
8,12,16 12, 24, 30 12, 24, 36 12, 24, 28
19. Which is better value for money?
500 g coffee for €2.50
1 kg coffee for €4.50
20. 100, 81, 64, 49 Rule =
0 1
y
45 °
3. 2 – y = 1 1 3 , so y =
4. Circle the larger.
50% of 24 10% of 100
5. 10 15 = 25
6. 25% of €40.00 = €
7. Which is the better value for money?
€50 jeans with 75% off
€30 jeans with 30% off
8. If there are ¥116 to €1.00, how many euro would
you get for ¥1,160?
€
9. 80 × 9 = 720, 79 × 9 =
10. 10 6 =
11. 16 =
12. Halve 3.8.
13. Round 18.795 to two decimal places.
14. A house plan has a scale of 1:100. A wall measures
110 mm on the plan. What is the actual length of
the wall?
m
15. 8.3 – 0.5 =
Review sample
16. Write the numeral ten million, one hundred
and one thousand.
17. Which equals 3,000 g?
10% of 30 kg
50% of 6 g
18. Draw a line of symmetry on the oval.
19. 15% = 0.
20. A car is travelling at 100 km/h. How far can it travel
in 30 minutes?
km
44 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Which is coldest?
0 °C 2 °C –1 °C
2. Round 2.349 to 2 decimal places.
3. Vanessa scored 6 10 in a maths test.
Write this as a percentage. %
1. 3 > –5 True False
2. Circle the smaller.
2% of 50 5% of 100
3.
a 145°
Week 15
4. 575 m = 575
1,000 km = 0. km
a = °
5. Draw this shape at half
size and write the new
measurements on
2 m
all sides.
6. The LCD of 1 4 and 3 10 is .
7. 1 ha = m 2
8. It is 10.15 p.m. in Ireland and 11.15 p.m. in France.
What is the time difference?
9. 80 45 = 35
10. 3.3, 6.6, 9.9 Rule =
11. 49 =
12. The scale is 1:100. A house plan shows a wall measuring
200 mm on the plan. What is the actual length in metres?
m
13. 1 4 of = 5
14. Order from smallest to largest.
45% 4.5% 54%
15.
, ,
Rotate the rectangle 180° clockwise.
Draw the new position.
16. Area = m 2
17. Perimeter = m
18. 29
100 = %
19. A farm is 800 m by 500 m. What area is it?
20. 8.9 – 0.9 =
m 2
4 m
6 m
8 m
4. 1, 4, 9, , 25, 49, , 81
5. 905 m = 905
1,000 km = 0. km
6. Simplify 15
20 .
7. Use multiples of 6.
84
8. 45 9 = 5
9. Which is better value for money?
1
4 kg apples for €1.20
1
2 kg apples for €2.50
10. Write 17 2 as a mixed number.
11. If there are US$0.90 to €1.00, how many euro would you
get for US$6.30?
€
12. Round 10.054 to two decimal places.
13. Draw a net of
a triangular prism.
14. How many fifths in 8?
Review sample
1 m
1 m
2 m
8 m
1 m
3 m 3 m
1 m
Before
15. A car is travelling at 100 km/h. How far can it travel
in 3 4 of an hour?
16. 4 ÷ 1 5 =
17. 25% of €100.00 = €
18. 1 3 of = 6
19. 10 2 + 5 2 =
After
km
20. Has the letter T got a vertical or horizontal
line of symmetry?
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 45

PROBLEM-SOLVING
FRIDAY REVIEW
Week 15
1.
Monday
Restring guitar €30
New strings €10
+ 20% VAT € A
TOTAL € B
2. A new phone was advertised at €300 excluding
20% VAT. What will be the actual cost? €
Tuesday
1. A car consumes 7 litres of fuel per 100 km. How far
can it travel with 28 litres of fuel?
km
2. The pages in a book are numbered 1 to 112.
How many pages have the digit 1?
Wednesday
A landscape architect drew a plan for a garden.
1. What percentage of the garden is paved?
%
2. What percentage of the garden has seating?
%
Thursday
1. What fraction of the area has flowers?
= 25 m 2
= seating
= flowers
= paving
1. 2.25 + 3.4 =
2. Diameter of a circle with a
radius of 10 cm
= cm
3. Mark scored 8 10 in a
maths test. Write this as a
percentage.
%
4. 620 m = 620
1,000 km =
0. km
5. 24 2 = 12
6. What are the 4 outcomes of
a 2-coin toss?
(a)
(c)
7. 3 6 10 + 2 7 10 =
(b)
(d)
8. 25% of €40.00 =
€
9. 49 × 25 × 4 =
10. The time is 10.15 a.m. in
Ireland and 11.15 a.m. in
France. What is the time
difference?
11. Which is better value for
money?
250 g sugar for €1.40
750 g sugar for €4.50
12. Draw this shape double
the size and label the new
measurements.
13. Circle the larger.
10% of 90 20% of 50
14. Write 2 3 9 as an improper
fraction.
15.
y = °
16. A farm is 400 m by 900 m.
What is the area?
17. 81 =
18. 15% = 0.
19.
m 2
Rotate the rectangle 180°
clockwise. Draw the new
position.
20. Which is coldest?
–3 °C 5 °C 0 °C
21.
Draw the axes of symmetry
on the hexagon.
22. If there are ¥116 to €1.00,
how many euro would you
get for ¥1,160?
Review sample
5 m
5 m
5 m
10 m
5 m
10 m
€
y
23. Halve 5.8.
24. At 100 km/h, how far in 15
minutes?
25. 6 ÷ 1 3 =
125º
km
2. At €25 per square metre, how much did it cost to
sow the flower seeds?
€
46 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 8.65 – 2.14 =
2. 2.02 > 2.1 True False
3. Kate scored 5 10 in a multiplication test.
Write this as a percentage.
4. 9.3 – 0.9 =
%
5. What is the average of 15, 30, 15 and 20?
6. The LCD of 1 4 and 3 5 =
7. 755 m = 755
1,000 km = 0. km
8. Rotate the rectangle 90° clockwise.
Draw the new position.
9. 6 8 = 14
10. Which is better value for money?
250 g of grapes for €2.00
200 g of grapes for €1.50
11. y × 3 = 3 5 , so y =
12. Draw lines to match the total degrees to each shape.
540° 180° 360°
13. Circle the larger.
20% of 50 25% of 60
14. 12,500 – 6,500 = a, so a =
15. Write 16 3 as a mixed number.
16. Simplify 50
100 .
17. Draw the axes of symmetry
on the equilateral triangle.
18. 2 ÷ 1 5 =
19. What is the simplified ratio of Cork football fans to
Waterford fans if there are 1,000 Cork fans and 200
Waterford fans?
1. 7.25 – 3.02 =
2. 2.3 + 0.8 =
3. 4 7 = 28
4. Write 3 2 3 as an improper fraction.
5. 10% of 100 =
6. 25 =
7. The LCD of 2 3 and 1 6 =
8. Write 30
100 as a decimal.
9. 4 × 9 = 6 2 True False
10. a = °
11. Draw lines to match the total degrees to each shape.
12. 5 2 + 6 2 =
360° 540° 720°
13. Circle the largest.
110,055 110,050 110,000
14. If you double the size of this rectangle,
by how many times has the area increased?
15. 19
100 + 2 10 = 0.
16. Write the prime numbers from 1 to 20.
, , , ,
Review sample
, , and
17. How many minutes until Watch A changes to Watch B?
minutes
18. 5 × = 10 × 3
19. 25 =
5 cm
20. A car is travelling at 50 km/h. How far can it travel
in 30 minutes?
a
25°
3 cm
A
B
8:08 9:00
Week 16
20. If there are US$0.90 to €1.00, how many euro would you
get for US$7.20 ?
km
€
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 47

WEDNESDAY
THURSDAY
Week 16
1. 4 ÷ 1 2 =
2. Simplify 14
18 .
3. 5.05 + 2.91 =
4. 0.99 = %
5. Draw as a 270º
rotation anticlockwise.
6. 950 m = 950
1,000 km = 0. km
7. 20 3 = 17
8. 8 = y + 6 1 2 , so y =
9. What is the probability of choosing a red marble from a
jar if there are 15 blue, 10 red and 25 green marbles?
in , or %
10. Round 25.093 to two decimal places.
11. Draw the axis of symmetry on the trapezium.
12. 3 ÷ 1 4 =
13. The difference is
minutes.
2:09 3:00
14. Write the numeral ten million and ten.
15. –4 < 0 True False
16. What is the simplified ratio of pens to pencils if there are
10 pens and 15 pencils?
17. Place value of the 9 in 904,711 is
18. What is the area of this floor?
m 2
19. Write 18 8 as a mixed number.
1. 6 ÷ 1 2 =
2. James scored 10
10 in a spelling test.
Write this as a percentage. %
3. Which is better value for money?
750 g of flour for 90c
500 g of flour for 75c
4. 306 ÷ 10 = r or
5. Circle the larger.
75% of 60 50% of 80
6. Round 0.143 to 2 decimal places.
7. 1.22 = %
8. 0, 1, 1, 2, 3, 5, 8, 13,
9. 4 × 36 × 25 =
10. 20,000 ÷ 2,000 =
11. Which set equals 40?
2 + 3 × 8
10 + 3 × 10
5 + 3 × 5
12. 6 3 4 + 3 3 4 =
13. 25,000 + 75,000 =
14.
Rotate the cylinder 270° clockwise.
Draw the new position.
15. 2.75 + 5.03 =
Review sample
.
8 m
Kitchen
4 m
16. 18 3 = 6
17. 3 ÷ 1 2 =
18. Choose the correct number. Dad's bank account only had
€100. He had to pay a bill for €300.
.
20. 60% of €110.00 = €
19. 6 × = 9 × 4
– €200 €200
20. A fast red car is travelling at 90 km/h.
How far can it travel in 20 minutes?
km
48 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. What is the area of the dark orange section?
m 2
2. What is the difference in area between the
2 squares?
m 2
Tuesday
1. A washing machine uses 200 litres for a wash cycle.
In a week, this machine was used on Monday,
Tuesday and Thursday. Two cycles were used on
Saturday. How much water was used?
litres
2. What is the difference in area between the
2 shapes?
1. Decimal =
m 2
9 m
9 m
12 m
12 m
Wednesday
5 m
3 m
3 m
What is the chance of 2 heads?
1 2 3 4
H H T T H T T H
0 0.25 0.50 0.75 1.0
0 1
4 m
1. If there are US$0.90 to
€1.00, how many euro
would you get for US$7.20?
€
2. 9.58 – 2.05 =
3. 7 3 4 + 2 3 4 =
4.
The time 2 3 of an hour
before was
5. Which set equals 30?
10 + 2 × 10
3 + 3 × 5
6. The LCD of 1 2 and 1 3 is
7. Eilish scored 7 10 in
a spelling test. Write this
as a percentage.
%
8. 249 m = 249
1,000 km =
0. km
9. The place value of the 3
in 371,929 is
10. 6 6 = 36
11. 5.1, 10.2, 15.3
Rule =
12. 70% of €90.00?
€
12:07
.
.
.
15. Parts of South America are
4 hours behind GMT. If it is
3.15 a.m. in London, what
time is it in South America?
16. Circle the larger.
20% of 40
25% of 36
17. Write 19 4 as a mixed number.
18. 2 6 =
19. Draw a 270º rotation
clockwise.
20. 5 ÷ 1 2 =
21.
a = °
22. 14
100 + 1 10 = 0.
23. Draw lines to match the
total degrees to the shapes.
360°
180°
540°
a
50°
Review sample
24. Round 0.153 to 2 decimal
places.
Week 16
2. Fraction =
Thursday
What is the chance of a head and a tail?
1. Decimal =
2. Fraction =
13. –2 < 0 True False
14. Which is better value for
money?
800 g sugar for €1.20
1 kg sugar for €1.40
25. There are 2,000 dance
studios to 200 music
studios. What is the
simplified ratio of dance
to music studios?
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 49

MONDAY
TUESDAY
Week 17
1. Use × and +.
5 1 6 = 11
2. The LCD of 3 4 and 2 3 is .
3. 4 + – 8 =
1. Use × and +.
8 1 7 = 15
2. 9 18 = 27
3. 31 7 = (mixed number)
4. 0.5 × 0.5 =
4. 7 ÷ 1 2 =
5. y + 2 = 2 3 5 , so y =
6. Sarah scored 75% in a piano exam.
Write this as a decimal.
7. 9.6 – 0.9 =
8. Rotate the rectangle 450° clockwise.
Draw the new position.
9. 545 m = 545
1,000 km = 0. km
10. 12 3 = 36
11. Round 7.37 to one decimal place.
12. 135
100 = 1.35 = %
13. Which is better value for money?
€40 shirt with 25% off
€50 shirt with 30% off
14. What is the probability of choosing a month beginning
with J from a hat?
in
15. Write the numeral one million and eleven.
16. 98, 94, 90, 86 Rule =
17. Circle the larger.
5. Write 500
1,000 as a decimal.
6. Draw a net of
a square-based
pyramid.
7. 4 2 7 + y = 5, so y =
8. If you measure the length of a fence as 8 m and draw
it on a plan with a scale of 1:100, what will be its length
on the plan?
cm
9. Circle the larger.
2,053,000 2,052,900
10. 2.02 = %
11. 2, 6, 18, 54, , 486
12. Which set shows multiples of 6 and 8?
30, 36, 40
24, 48, 72
24, 36, 48
13. Colour to show 3 4 .
14. If a clock shows 3 o’clock, what is the size of the inside
angle between the hands?
Review sample
°
15. If you halve the measurements of
this shape, how many times will the
new shape fit into this shape?
8 cm
2 cm
18. 10 ÷ 1 5 =
10% of 70 50% of 16
19. If a car takes 10 minutes to travel 10 km, how fast
is it going?
km/h
20. Which 3-D shape has 5 faces, 8 edges and 5 vertices?
16. 6 + – 3 =
17. 0.2 × 0.5 =
18. Draw the axis of symmetry on this
isosceles triangle.
19. 25% of 120 =
20. 12 × = 8 × 3
A
B
C
50 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Use × and –.
6 3 1 = 3
2. The following are shoe sizes of basketball players.
12 11 13 14 10
1. Use ÷ and +.
15 5 5 = 8
2. David scored 89% in a maths test.
Write this as a decimal.
Week 17
What is the average?
3. Circle the prime number.
3. 7 + – 6 =
4 7 9
4. 0.3 × 0.4 =
5. 983 m = 983
1,000 km = 0. km
6. 64 8 = 8
7. 80, 65, 50, 35 Rule =
8.
Rotate the rectangle 270° anticlockwise.
Draw the new position.
9. Simplify 20
30 .
10. y × 50 = 25, so y =
11. Circle the larger. 90% of 90 80% of 100
12. Draw a 90º rotation anticlockwise.
13. 81
10 =
14. Write 750
1,000 as a decimal.
15. 1, 5, 25, , 625
16. a = °
17. 0.97, 0.98, 0.99,
55°
a
4. 8.2 – 0.8 =
5. 9 3 4 + 1 2 =
6. 9.2 1.2 = 8
7. Which is better value for money?
€800 table with 50% off
€600 table with 30% off
8. 500, 50, 5,
9. 9 2 =
10. Write the coordinates for
A
, B
and C .
11. 5 + – 7 =
12. 9 ÷ 1 3 =
13. Circle the largest.
2,053,893 2,005,999 2,051,010
14. 5 × = 10 × 3
15. If your new car travels 8 km in 10 minutes, how fast
is it going?
16. 3 × = 18 ÷ 3
km/h
17. Which 3-D shape has 5 faces, 9 edges and 6 vertices?
5
4
3
2
1
A
B
1 2 3 4 5
Review sample
0
C
18. Write the numeral one hundred and eleven
thousand and ten.
19. Write 25 4 as a mixed number.
20.
0
1
6
2
6
What equivalent fractions are at
a? b?
3
6
4
6
0 a b
5
6 1
1
18. 0.7 × 0.3 =
19. Write 5 2 5 as an improper fraction.
20. How many of Box B will fit evenly into Box A?
A
2 cm
2 cm
4 cm 2 cm
B
1 cm
1 cm
C
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 51

PROBLEM-SOLVING
FRIDAY REVIEW
Week 17
Monday
= 3 days = 1 day
March and April – Days of Rainfall
Dublin
Cork
Wexford
1. How many more days of rainfall had Wexford
than Cork?
1. Use × and +.
9 (5 2) = 19
2. y + 28 7 = 5,
so y =
3. 3.04 = %
4. 4, 12, 36, , 324
15. Draw a 90º rotation
clockwise.
16. 20 25 = 45
17.
2. How many fewer days of rainfall did Cork have
than Dublin?
Tuesday
1. Lynn said, "A square-based pyramid has 5 faces,
9 edges and 6 vertices." She was mistaken.
What 3-D shape did she describe?
2. What 2-D shape's angles add up to 720°?
1.
Wednesday
6TH CLASS
Library Books Borrowed
February 301
March 12
April 247
Total?
2. The total of the previous 3 months was 10% more
than this quarterly period. How many books were
borrowed in the previous quarter?
Thursday
1. A pizza restaurant makes 200 pizzas every day.
125 g of cheese is added to each pizza. How many
kilograms of cheese is used in a day?
5. 25% of €200.00 =
€
6. 6 + – 3 =
7. Write the prime
numbers < 10.
, ,
,
8.
Colour 1 3 .
9. Circle the largest.
3,093,093
3,090,393
3,089,993
10. Kelly scored 62% in a
spelling test. Write this as
a decimal.
11. The average of the numbers
25, 20, 30, 35 and 15
is .
12. Which 3-D shape has 6
vertices, 5 faces and 9
edges?
Rotate the rectangle 90°
anticlockwise. Draw the
new position.
18. 70, 63, 56, 49
Rule =
19. 9 ÷ 1 2 =
20. A pizza restaurant made
400 pizzas at the weekend.
200 g of cheese was used
per pizza. What was the
total weight of cheese
used?
kg
21. At €6 a kg for cheese,
what was the total cost
of cheese?
€
22. 2 × = 24 ÷ 3
23. If a car takes 20 minutes to
travel 15 km, how fast is it
going?
km/h
Review sample
A B C
24. Which is better value
for money?
€600 carpet with
25% off
€750 carpet with
33 1 3 % off
kg
2. The pizza restaurant pays €2 per 1 2-kg block of cheese.
What is the cost of cheese for a day?
€
13. 630 m = 630
1,000 km =
0. km
14. 0.3 × 0.8 =
25. How many of Box B will fit
evenly into Box A?
6 cm
2 cm 2 cm
1 cm
6 cm
1 cm
52 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 0.5 × 0.4 =
2. 4 + – 8 =
3. Juliette scored 45% in a history test.
Write this as a decimal.
4. 1 m 12 cm = 1 12
100 m = 1. m
5. 9.09 < 9.9 True False
6. 9.1 – 0.8 =
7. 2 13 = 26
8. 30% of €40.00 = €
9. Which is better value for money?
10. 16 ÷ 1 4 =
11. 8 3 4 + 1 2 =
€80 dress with 20% off
€90 dress with 33 1 3 % off
12. Write 350
1,000 as a decimal.
13. Circle the larger.
5,449,090 5,500,010
14. Round 6.97 to one decimal place.
15. 9.65 – 2.34 =
16. 7.2 – y = 6.8, so y =
17. Rotate the triangle 180° clockwise.
Draw the new position.
18. 2.4, 4.8, 7.2 Rule:
19. A pizza restaurant made 300 pizzas a day. 30% of the
pizzas had olives. How many pizzas had olives?
1. 0.6 × 0.3 =
2. If a 6-m wall is drawn on a plan with a scale of 1:100,
how many mm will it be on the plan?
mm
3. The LCD of 3 4 and 1 6 is .
4. 12.3 – 0.8 =
5. 6 + – 2 =
6. Write the numeral ten million, one hundred and ten
thousand.
7. 2 m 15 cm = 2 15
100 m = 2. m
8. If a car travels 12 km in 10 minutes, how fast is it going?
km/h
9. What is the chance of selecting an even number from
a deck of 52 cards?
in
10. 400,000 – 390,000 =
11. 500 5 = 100
12. 3.5 + y = 5, so y =
13. 890,000 + 10,000 =
14. Area = cm 2
15. Perimeter = cm
16. Circle the larger.
17. Halve 4 10 .
18. 8.96 – 1.05 =
20% of 50 60% of 25
Review sample
19. 1, 3, 9, 27, , 243
20. Tick the regular polygons.
4 c m
3 c m
2 c m
14 c m
17 c m
A B C
2 c m
Week 18
20. This is a net of A.
B.
D E F
C.
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 53

WEDNESDAY
THURSDAY
Week 18
1. 0.4 × 0.8 =
2. 2 + – 7 =
3. Simplify 21
28 .
4. 600,000 – 510,000 =
1. 0.1 × 0.9 =
2. – 8 + 2 =
3. Draw the axes of symmetry
on this hexagon.
5. An octahedron has faces.
6. Mark scored 58% in a violin exam.
Write this as a decimal.
7. 4 5 > 2 10 True False
8. 5 m 56 cm = 5 56
100 m = 5. m
9. Draw the axes of symmetry on this pentagon.
10. 40 35 = 5
11. 230,000 + 170,000 =
12. A dodecahedron has faces.
13. Tick the larger.
15% of 100
50% of 40
14. a = °
15. 1 = %
16. Add the lowest 3 prime numbers.
17. 10 ÷ 1 3 =
18. 20% = 0.25 True False
300
250
200
150
100
50
0
A
200°
Under 12s Triathlon Competition
19. Five years of data was recorded for a triathlon
competition. The largest increase in competitors was from
a
to .
B
4. 4 m 28 cm = 4 28
100 m = 4. m
5. 14 14 = 28
6. Which is better value for money?
€1,000 bed with 15% off
€900 bed with 10% off
7. 3 6 > 1 3 True False
8. 4 1 2 + 3 4 =
9. What is the chance of selecting an odd number from a
pack of 52 playing cards? B
in
10. d = °
11. 3.5 – 0.9 =
12. 950,000 + = 1,000,000
13. 5.03 + 2.84 =
14. Draw a net of
a tetrahedron.
15. What is the place value of the 0 in 2,076,543?
Review sample
2013 2014 2015 2016 2017
16. 8 ÷ 1 5 =
17. Add the lowest 3 composite numbers.
18. 405,000 + = 500,000
19. 800,000 – = 720,000
20. Round 0.777 to one decimal place.
A
50°
d
20. The smallest increase in competitors was from
to .
54 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. Which coloured marble has a
0.4 chance of being selected
from the jar?
2. Draw a dot on the chance line to show the
probability of an orange marble being selected.
Tuesday
1. Liam scored 80% in a music test. Conor got
3 out of every 4 questions correct. Who had the
higher score?
2. Write the coordinates.
8
7
6
5
4
3
2
1
0 0.2 0.4 0.6 0.8 1
A
D
0 1 2 3 4 5 6 7 8
1. How many pizzas
had seafood?
2. How many pizzas
had olives?
B
C
Wednesday
A =
B =
C =
D =
PIZZA TOPPINGS ON 10 PIZZAS
Olives 100%
Mushrooms 30%
Seafood 20%
Rocket 40%
Aubergines 10%
1. What is the probability
of selecting an odd
numbered card from
a deck of 52 cards?
in
2. Round 0.639 to one
decimal place.
3. 2 3 > 1 5
True
4. 0.6 × 0.3 =
False
5. What is the volume of a
room 10 m × 7 m × 3 m?
m 3
6. Sam scored 70% in a maths
test. Write this as a decimal.
7. Halve 1 2 .
8. 6 m 25 cm = 6 25
= 6. m
100 m
9. 700,000 – 675,000 =
10. 3 8 = 24
11. 1, 4, 16, 64, , 1, 024
12. 7 9 10 + 3 10 =
13. 8% = 0.08
True
False
14. Draw the axes of
symmetry on the octagon.
17. 8.27 – 2.05 =
18. 910,000 +
= 1,000,000
19. a = °
20. – 9 + 3 =
21.
3 m
A
6 m
100º
9 m
3 m
3 m
Area = m 2
22. Perimeter = m
23. Draw the other
2 lines of symmetry.
24. Which is better value for
money?
a
€800 laptop with
20% off
Review sample
€900 laptop with
33 1 3 % off
6 m
25. Draw a net of a triangular
prism.
B
Week 18
Thursday
1. Plot these coordinates on Tuesday’s grid, then join
them to make another square.
(6,0), (6,4), (2,4), (2,0)
2. Write the coordinate to be found in the middle
of this square.
15. Write 650
1,000 as a decimal.
16. Circle the larger.
500,250
5,025,250
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 55

MONDAY
TUESDAY
Week 19
1. 0.6 × 0.5 =
2. 8 + – 3 =
3. A car travels at 100 km/h for 350 km.
How many hours is the trip?
4. (200 – 50) ÷ (40 ÷ 8) =
5. 5 m 15 cm = 5 15
100 m = 5. m
6. 16 4 = 4
7. 6 1 3 + 2 2 3 =
8. c = °
hours
9. What is the average of 150, 100, 150 and 200?
10. Write 155
1,000 as a decimal.
11. Tick the larger.
7,502,250
7,205,250
12. Draw a different net of a cube.
13. 200,000 – 100 =
14. 3 – y = 2.7, so y =
15. 1.1, 2.2, 3.3 Rule =
16. 2.7 > 28
10 True False
17. Draw a 180° rotation clockwise.
18. What is the probability of selecting a ‘face’ card from a
pack of 52 playing cards?
in
19. 2 3 of 15 =
20. Which is better value for money?
c
290°
1. 12 4 = 48
2. 3 5 of 30 =
3. 6 × = 3 × 8
4. 3 × 1 2 = 1 2 + 1 2 + 1 2 =
5. The LCD of 3 10 and 1 6 =
6. 18, 38, 78, 158, , 638
7. 750 g = 3 4 kg = 0. kg
8. Which of the following numbers
is a prime number? 16, 17, 18
9.
a = °
10. 9 – y = 8.5, so y =
11. 32 = 2a, so a =
12. 4 + – 6 =
13. How many sides has an octagon?
5
14. Write 1,000 as a decimal.
15. 8, 16, 24, 32
Rule =
The pie chart shows the number of pets
owned by 6th Class pupils.
24 pupils were surveyed.
16. How many had 3 pets?
Review sample
135 °
17. Is the number of pupils who
had 0 or 1 pets the same
as the pupils who had 3 pets?
18. What fraction of the class had 2 or 4 pets?
19. What percentage of the class had 3 pets? %
20. How many pupils had 2 pets?
a
0
1
2
3
4
500 g tea for €2.00
750 g tea for €2.70
56 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. – 9 + 3 =
2. 5 × 1 2 = 1 2 + 1 2 + 1 2 + 1 2 + 1 2 =
3. The LCD of 2 10 and 3 4 is .
4. 0.7 × 0.2 =
1. Simplify 10
15 .
2. What is the average of 6, 8, 10 and 12?
3. Name this 2-D shape.
Week 19
5. Write the numeral one million, nine hundred
and nine thousand.
4. y × 6 = 24, so y =
5. 0.3 × 0.5 =
6. 900 – 325 =
7. 7 m 98 cm = 7 98
100 m = 7. m
8. 27 6 = 33
9. Halve 0.5.
10. Which is better value for money?
11. 3 4 of 28 =
10 apples for €2.40
15 apples for €2.99
12. Draw double the size of this shape. Write the new
measurements on
each side.
2 m
4 m
5 m
9 m
13. What is the radius of this circle?
cm
14. Tick the larger.
15. 100% = 100
100 =
9,452,980 9,450,980
16. Draw the reflection.
17. 15.95 – 7.42 =
18. Area = m 2
19. Perimeter = m
20. A pizza restaurant made 400 pizzas a day. Each pizza
had 125 g of cheese. What weight of cheese was used
each day?
kg
4 m
6 m
8 cm
6. 2 + – 5 =
7. 18 0 = 18
30
8. Write 1,000 as a decimal.
9. 5 6 = 15
18 True False
10. Alex shuffled 20 cards numbered from 1 to 20.
What is the chance of picking a multiple of 5?
% = 0.
11. Tick the larger.
12. 7 ÷ 1 3 =
13. 11 2 =
75% of 20 20% of 50
14. The corners are (1,2), (1,6) and (6,2). Plot the points and
draw the triangle.
y
6
5
4
3
2
1
0
15. What type of triangle is it?
16. What is the chance of it raining today?
impossible
likely
17. 8 3 5 + 1 3 5 =
18. 3 4 + 1 2 =
1 2 3 4 5 6
Review sample
6 m
4 m
4 m
5 m
9 m
2 m
19. 5 × = 50 ÷ 5
20. 3 1 4 + y = 3 3 4 , so y =
x
unlikely
certain
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 57

PROBLEM-SOLVING
FRIDAY REVIEW
Week 19
Monday
1. 2.
2, 8 3
– 4 5 7
2, 2 2 6
9, 7 9 8
+ 3, 9 6
1 3, 2 9 4
1. 0.9 × 0.4 =
2. 4 + – 7 =
3. 2 3 of 12 =
4. 42% = 0.
15.
a 75º
a = °
16. 100,000 = y 5 , so y =
= 100
Tuesday
1. A desalination plant filters 500 litres of seawater
every hour. The pump begins at 9 a.m.
Complete the line graph.
Water Filtered
litres
2,000
1,500
1.000
500
0
2. How many litres will be filtered by 4 p.m.?
litres
Wednesday
2 boys had a basketball contest
for shooting hoops. (Better of 5 shots)
1. Who won?
2. Which hand scored
the most?
Left hand
Right hand
9 a.m. 10 a.m. 11 a.m. 12 p.m. 1 p.m.
Time
KEY
Right
hand
Left
Thursday
1. The weight of 7 apples is 1.4 kg. The weight of 10
apples would probably be
5
4
3
2
5. 9 m 45 cm = 9 45
100 m
= 9. m
6. A car is travelling at 100
km/h. If it makes no stops
and travels for 650 km,
how long does the trip
take?
hours
7. Write the numeral one
million, one thousand
and ten.
8. 5 × 1 2 =
9. 36 4 = 9
10. Name this 2-D shape.
11. How many axes of symmetry
does the shape have?
8
12. Write 1,000 as a decimal.
13.
9 cm
9 cm
What is the radius of
the circle?
17. Which is better value for
money?
18. 1 2 + 1 4 =
1 m
5 m
250 g flour for €1.20
750 g flour for €3.30
2 m
2 m
8 m
19. Area = m 2
5 m
20. Perimeter = m
21.
Draw a 180º rotation
clockwise.
22. Conor shuffled cards
numbered as the first 5
prime numbers. What is
the chance of selecting
an even number?
20% 25%
40% 0%
handReview sample
1
0
Liam Conor
80%
23. 250 g = 1 4 kg =
0. kg
24. How many faces has an
octahedron?
1.7 – 1.9 kg. 2.0 – 2.3 kg.
15 kg. 10.1 – 10.5 kg.
2. A fishing trawler had a capacity of 12,000 kg.
The trawler caught one third of its capacity.
How many kilograms of fish were caught?
kg
cm
14. 10.34 + 25 + 24 =
25. If you draw a wall using
a scale of 1:100 and it
measures 20 mm, what is
the actual length?
m
58 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 4 + – 9 =
2. What is the chance of picking
a spade from a deck of 52 cards?
3. Name this triangle.
in
1. 0.7 × 0.9 =
2. 3 + – 2 =
3. 100 25 50 = 25
4. Write
90
1,000 as a decimal.
Week 20
4. 0.8 × 0.2 =
5. 5 m 24 cm = 5 24
100 m = 5. m
6. 26 24 50 = 100
9
7. Write 1,000 as a decimal.
8. 2.3 – 0.9 =
9. Tick the larger.
9,850,725 9,800,925
10. Change 4 3 7 to an improper fraction.
11. 1 3 + 1 2 =
12. 7 × y = 70, so y =
13. What is the radius of a biscuit
tin with a 30-cm diameter?
14. 1 5 kg + 290 g + g = 1 kg
15. 7 3 4 + 2 1 4 =
16. Which is better value for money?
250 g corn for 50c
500 g corn for 95c
17. 4 kg 450 g = 4 450
1,000 kg = 4. kg
18. A cube has
faces.
edges.
vertices.
19. 100,000 = 10 a , so a =
cm
20. Draw the axes of symmetry on the rectangle.
5. 4 > – 5 True False
6. 40 × 8 = 320, 39 × 8 =
7. The LCD of 3 8 and 2 3 is .
8. Is 29 a multiple of 3?
9. 12 × = 8 × 6
10. 1 – 0.001 =
11. 1 – 0.01 =
12. 1 – 0.1 =
13.
Draw after a 270° rotation clockwise.
14. There were 40 red and 10 yellow jelly beans in a bag.
What is the simplified ratio of red to yellow?
15. 5 kg 720 g = 5 720
1,000 kg = 5. kg
16. A triangular prism has
faces.
edges.
vertices.
17. Draw lines to match the total degrees to the shapes.
Quadrilateral 720º
Triangle 360º
Pentagon 540º
Hexagon 180º
Review sample
18. Insert the correct symbol (, =).
75% of €200 60% of €250
19. Area = m 2
20. Perimeter = m
10 m
6 m
4 m
3 m
3 m
6 m
3 m 3 m
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 59

WEDNESDAY
THURSDAY
Week 20
1. Write the numeral 1.2 million.
2. 6 + – 8 =
3. 1 – 0.005 =
4. 31 9 =
1. What is the perimeter of a regular pentagon with
7-cm sides?
cm
2. What is the probability of selecting a red jelly bean from
a jar with 5 red and 15 white ones?
5. How many of Box B
will fit into Box A?
6 cm
2 cm
2 cm
2 cm
1 cm
1 cm
3. 5 + – 9 =
0.2 0.25
5
15 5%
6. A recipe calls for 3 cups of flour and 2 eggs for
a cake to serve 2. What is the simplified ratio of flour
to eggs?
7. 6 m 7 cm = 6 7
100 m = 6. m
8. a = °
9. Halve 1.2.
10. 1 2 > 0.07 True False
11. 3 2 5 = 30
12. Write 900
1,000 as a decimal.
13. Simplify 12
30 .
14. Round 5.496 to two decimal places.
15. 1 2 + 1 4 =
16. 45 × = 10 × 9
17. What is the sum of the prime numbers < 10?
18. Draw a net of a triangular pyramid.
19. Draw in the missing line of symmetry.
5
1
2
a
75º
4. How many faces has an octahedron?
5. 400,000 – 10,000 =
6. What is the area of a floor 6 m by 3 m?
m 2
7. Write the numeral 2.9 million.
8. 0.2 × 0.6 =
9. 50 5 2 = 5
10. Name this triangle.
11. Tick the largest.
4,010,000 4,000,000 3.8 million
12. 6.07 + 12.92 =
13. 2 × a = 400, so a =
14. The answer for 24 × 29. Which digit will the unit be?
3 6 8 0
15. Which is better value for money?
Review sample
100 g sweets for 90c
125 g sweets for €1.40
16. 1 × = 45 ÷ 9
17. 2 kg 50 g = 2 50
1,000 kg = 2. kg
3
18. 1 2 + 2 3 =
3
19. Will a square and a rectangle tessellate together?
2
1
5
20. 60 × 7 = 420, 59 × 7 =
20. 2.97, 2.98, 2.99,
60 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
paving
garden
108°
108°
108°
Monday
1. A recipe for 3 needs 4 cups of flour to 1 egg. How
many cups and eggs will be needed to serve 18?
cups and
10 m
108°
W
eggs
2. Another recipe had a simplified ratio of 3:2 (flour to
eggs) to serve 4. How many cups of flour and eggs
to serve 20?
cups and
Tuesday
1. Total paving area = m 2
eggs
6 m
2. What fraction of the total area is the garden?
Wednesday
A landscaper charged €50 per square metre for
paving and €20 per square metre for the garden.
1. What was the cost of the paving? €
2. What was the price for the garden? €
Thursday
1. Write the sizes of the angles.
a = °
b = °
c = °
d = °
36°
72°
X
d
36°
1. 3 + – 7 =
2. 0.6 × 0.3 =
3. 8 m 35 cm = 8 35
100 m
= 8. m
4. Name this triangle.
5. 3 4 = %
6. What is the area of a floor
12 m by 4 m?
7. 9 3 4 + 1 2 =
8. 1 – 0.001 =
m 2
9. 5 15 70 = 90
2
10. Write 1,000 as a decimal.
11. 0.09 > 0.24
True
12. Simplify 30
90 .
False
13. Round 15.409 to 2
decimal places.
14. A tetrahedron has
faces.
edges.
vertices.
15. 33.9, 30.7, 27.5
Rule =
16. 9.97, 9.98, 9.99,
19. 1 2 + 1 3 =
20. The angles in a
quadrilateral all add up to
5
4
3
2
1
0
°.
21. A chocolate factory made
2,000 milk chocolates
for every 1,000 dark
chocolates. The simplified
ratio of milk to dark
chocolates is
22. What is the perimeter of
a regular hexagon with
9-cm sides?
cm
23. Plot the points of 3 corners
of a triangle (0,1), (3,5)
and (5,0).
1 2 3 4 5
24. Which is better value
for money?
200 g of peas
for €0.45
500 g of peas
for €1.00
25. Circle the probability of
selecting a green jelly bean
from a jar if there are 25
green, 50 red, 10 white
and 15 black.
Review sample
0 0.25 0.5 0.75 1
.
Week 20
a b Y
108° 108°
c
108°
2. Which 2 triangles are congruent?
and
(HINT: congruent means having exactly the same shape and size.)
17. 2 kg 79 g = 2 79
1,000 kg
= 2. kg
18. 2 × a = 1,000,
so a =
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 61

MONDAY
TUESDAY
Week 21
1. – 2 + – 3 =
2. 0.6 × 0.8 =
3. 4 m 5 cm = 4 5
100 m = 4. m
4. Circle the composite number.
19 36 47
5. Insert signs into this number sentence.
1. – 3 + – 5 =
2. 2 5 = × × × ×
=
3. 40 × y = 200, so y =
4. 0.7 × 0.4 =
5. Change 4 3 7 to an improper fraction.
(10 5) 2 = 30
6. Which is better value for money?
300 g of fruit for €1.44
500 g of fruit for €2.50
7. 6 kg 200 g = 6 200
1,000 kg = 6. kg
8. 2 3 + 2 3 =
9. Name this 2-D shape.
10. Add brackets to make this number sentence true.
11.
7 ÷ 1 – 5 + 2 = 0
20 % off
12. Round 6.73 to one decimal place.
13. Graph a triangle using
the coordinates (0,6), (2,1)
and (6,2).
14. Simplify 10
12 .
15. Simplify the ratio.
10 : 5 = : 1
WAS
€ 50 NOW €
16. Write the numeral one million and ten.
y
6
5
4
3
2
1
0
1 2 3 4 5 6
x
6. Simplify 15
20 .
7. Insert signs into this number sentence.
(80 8) 5 = 5
8. A wizard needs 375 m of
apple juice for his breakfast.
Colour to show the level.
9. The wizard then added 250 m of carrot juice.
What is the new level?
10.
m
How many of Box B will fit evenly into Box A?
11. 2.543 + 3.042 =
12. Is 64 a multiple of 8?
13. Draw as a 90° rotation clockwise.
14. What is the average of
5, 8, 8 and 11?
15. 40% of €90.00 = €
2 cm
2 cm
Review sample
5 cm
3 cm
4 cm
1 cm
16. How many degrees has a quadrilateral? °
1
250 m
17. Round 12.567 to two decimal places.
18. Write
5
1,000 as a decimal.
19. 12.4, 9.3, 6.2 Rule =
20. What is the perimeter of a regular pentagon with
90-mm sides?
mm
17. 8 × 1 2 =
18. The hour hand rotates °
for each consecutive hour.
19. 6 × = 10 × 3
20. Write 2 1 4 million as a numeral.
62 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Write in ascending order.
0.36 0.03 12%
, , , ,
2. 20% of €80.00 = €
3
5 0.3
1. Write in descending order.
2
75% 0
3 0.09
, , ,
2. Name this 2-D shape.
Week 21
3. Simplify the ratio.
20 : 5 = : 1
4. How many degrees has a triangle? °
5. What speed is a car travelling at if it does 5 km every
5 minutes? km/h
6. – 4 + – 2 =
7. 0.9 × 0.3 =
8. How many degrees
has the minute hand rotated?
9. 5 m 20 cm = 5 20
100 m
°
= 5. m
10. What is the average of the following numbers?
3, 6, 7 and 8
11. 14 × 25 × 4 =
12. Draw a net of
a triangular prism.
13. Insert signs into this number sentence.
(5 6) 20 = 10
14. Round 10.217 to two decimal places.
15. 10 2 =
16. What is the difference
between the areas of the
two squares?
17. Write
m 2
50
1,000 as a decimal.
18. Add brackets to this number sentence.
70 ÷ 10 × 5 ÷ 1 = 35
19. 4 kg 20 g = 4 20
1,000 kg = 4. kg
20. 5.027 + 5.913 =
11
10
9
8
7
5 m
3 m
12
6
3 m
1
2
3
4
5
5 m
3.
How many of Box B will fit evenly into Box A?
4. Round 8.447 to two decimal places.
5.
6. Simplify the ratio. 3 : 12 = : 4
7. 4 5 + 4 5 =
8. – 5 + – 4 =
9. 4.2 m = cm
10. Circle the prime number.
11. 0.5 × 0.7 =
12. 10 6 =
13. 6 × 1 2 =
2 cm
3 cm
7 cm 2 cm 1 cm
10 % off
19 36 50
14. What is the difference
between the areas of the
two rectangles?
m 2
15. 7 × 30 = y + 10, so y =
16. Which is better value for money?
50 g sweets for €1.15
200 g sweets for €1.60
17. 6.184 + 3.512 =
18. Tick the unit value of 32 × 18.
0 6 1 3
19. 4 × = 64 ÷ 8
20. 2 3 of = 8
2 cm
WAS
€ 50 NOW €
7 m
2 m
3 m
Review sample
4 m
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 63

PROBLEM-SOLVING
FRIDAY REVIEW
Week 21
Monday
1. Write in ascending order.
0.92 0.07
4
5 21% 0
, , ,
,
12. Simplify the ratio.
4 : 16 = 1 :
13. Round 15.937 to two
decimal places.
FRUIT TREES
1. The paving adjacent to the fruit trees is m
by m.
2. The total area of the paving is m 2 .
Tuesday
1. The circular garden is contained within the
rectangular plot of land. What is the diameter of the
circular garden?
m
2. The paving has a granite stone border around all
its 4 sides. At €10 per metre length, what is the
total cost?
€
Wednesday
1. A lorry was weighed at 15,000 kg. After unloading,
the lorry’s weight was 8,500 kg. What weight of
goods was the lorry carrying?
kg
2. Goods were charged at €50 per 1,000 kg (

MONDAY
TUESDAY
1. 40 × 9 = 360, 39 × 9 =
2. – 7 + – 4 =
3. A jar has 10 red and 30 blue marbles.
What is the probability of selecting a blue marble?
4. 0.4 × 0.4 =
in
1. – 5 + – 6 =
2. Write in descending order.
0.015 0.3 0.2 0.45
, , ,
3. Write the numeral ten million, one thousand and one.
Week 22
5. 5 m 40 cm = 5 40
100 m = 5. m
6. 3 3 = × × =
7. 0.97, 0.98, 0.99,
8. Simplify 8 12 .
9. What is the average of 60, 80, 50, 90 and 70?
10. Insert signs into this number sentence.
3 (4 4) = 19
11. 1 – 0.002 =
12. 7 10 + 9 10 =
13. A tetrahedron has
faces.
edges.
vertices.
14. If a circle has a diameter of 100 cm, what is the radius?
cm
15. Vancouver in Canada is 8 hours behind Dublin. If it is
5 p.m. in Dublin, what time is it in Vancouver?
16. Use your estimating skills and knowledge of odd/even
numbers. The answer to 27 × 17 is
459. 454. 450. 456.
17. Simplify the ratio.
4. Simplify 9 12 .
5. 2 6 =
6. 60% of €300 = €
7. 7 10 – 2 10 =
8. 0.6 × 0.7 =
9. Draw the axes of symmetry
on the hexagon.
10. Insert signs into this number sentence.
12 (18 3) = 6
11. If there are US$0.90 to €1.00, how
many euro would you get for US$9.00? €
5
12. 2 kg 5 g = 2 1,000 kg = 2. kg
13. If a car travels at 100 km/h, how far can it travel in
15 minutes?
km
14. Name this 2-D shape.
15. 5a = 15, so a =
16. Simplify the ratio.
Review sample
5 : 45 = 1 :
17. Round 20.063 to two decimal places.
3 : 15 = 1 :
18. Write a prime number between 20 and 30.
19. – 10 + – 6 =
20. 36 × 4 × 250 =
18. 19 × 50 × 20 =
19. 999,997 + = 1,000,003
20. Mia had a shuffled deck of cards with multiples of 3, from
3 to 36. Tick her chance of selecting an odd number.
25% 12% 50% 3%
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 65

WEDNESDAY
THURSDAY
Week 22
1. Write the numeral ten million, ten thousand and ten.
2. – 2 + – 3 =
3. Halve 1 3 =
1. – 4 + – 8 =
2. Add brackets to this number sentence.
80 ÷ 10 × 1 + 7 – 60 = 4
3. Name this 2-D shape.
4. It is 8.20 p.m. in Ireland and 10.20 p.m. on the same day
in Egypt. What is the time difference?
4. 0.4 × 0.5 =
5. Write in ascending order.
1
10
3
4
1
2
, , ,
2
100
6. If there are US$0.90 to €1.00, how many euro would you
get for US$1.80?
€
7. Round 5.803 to two decimal places.
8. Name this 3-D shape.
9. 31, 34, 37, , 43
10. Write 450
1,000 as a decimal.
11. Tick the correct value. It was 0 ºC. The temperature dropped
by 5 degrees.
5 °C –5 °C
12. 7y = 35, so y =
13. 5.541 + 2.038 =
14. The measurement at A is mm.
80
90 100
cm
A
15. How many degrees has a quadrilateral? °
16. How many faces has an octahedron?
17. Order 0.14, 3%, 0.09 and 1 4 in ascending order.
, , ,
18. A straight angle has °.
19. What is the value of the 9 in 973,778?
5. 8.85, 8.9, 8.95,
6. 7 m 3 cm = 7 3
100 m = 7. m
7. 8 20 + 14
20 =
8. Insert signs into this number sentence.
20 (24 2) = 8
9. Which is better value for money?
€50 jacket with a 20% discount
€60 jacket with a 25% discount
10. 395,000 + = 500,000
11. 3 kg 50 g = 3 50
1,000 kg = 3. kg
12. What will I pay for a €60 dress if there is
a 30% reduction?
€
13. y = °
14. Simplify the ratio.
6 : 36 = 1 :
45
15. Write 1,000 as a decimal.
16. 6.234 + 2.501 =
17. 38 × 5 × 200 =
18. 9 2 =
19. What is the length of the radius?
cm
20. What is the difference in area?
m 2
50° 50°
Review sample
7 m
y
12 cm
20. 0.03 = %
6 m
2 m
3 m
66 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. A magician charged €100 for a 90-minute show.
On Saturday, he made €500. For how long did he
perform that day?
2. What is the 7th triangular number?
Tuesday
1. The length of Side a = cm
2. The radius of each circle = cm
1.
Wednesday
2. Enda halved a number, added 5 and multiplied
it by 3. His answer was 45. What number did he
start with?
Thursday
1. What is the area of the paving? m 2
4 m
a
2 m
1st 2nd 3rd
Fold
3 m
4 m
8 m
21 cm
2 m
garden
paving
2. It costs €50 to pave a square metre. How much will
this space cost the owner?
Cut
Cut
Unfold and draw.
1. 0.5 × 0.3 =
2. Add brackets to this number
sentence.
60 ÷ 10 × 1 + 9 – 6 = 54
3. 6 m 20 cm = 6
20
100 m
= 6. m
4. a = °
5. Name this 2-D shape.
6. – 8 + – 3 =
7. 0.02 = %
8. 6,000 – a = 300 × 10,
so a =
9. 7.85, 7.90, 7.95,
10. 6 20 + 9 20 =
11. 80 × 9 = 720, 79 × 9 =
12. Argentina is 4 hours behind
Dublin. If it is 7 p.m. in
Dublin, what time is it in
Argentina?
13.
45º
50 % off
90º
14. Simplify the ratio.
4 : 24 = 1 :
a
WAS
€ 70
NOW
€
15. What is the radius of the
circle?
2.4 cm
cm
2.4 cm
16. Round 20.527 to two
decimal places.
17. Simplify 16
18. 9 10 – 5 10 =
20 .
19. If there are US$0.90
to €1.00, how many
euro would you get for
US$18.00?
€
20. 3 kg 4 g = 3 4
1,000 kg =
3. kg
21. 999,992 +
= 1,000,001
22. 3.408 + 2.161 =
23. Write in ascending order.
0.82 8.5% 9 10 0.075
, ,
24. If a car is travelling at
80km/h, how far can it
travel in 4 1 2 hours?
Review sample
,
km
25. What is the chance of
selecting a green jelly sweet
from a jar which has 20
yellow, 20 green and 60
red jellies?
% or 0.
Week 22
€
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 67

MONDAY
TUESDAY
Week 23
1. – 4 + – 8 =
2. 1.2 × 0.3 =
3. 6 1 4 + e = 6 3 4 , so e =
4. Insert signs into this number sentence.
1. 0.5 × 0.8 =
2. Insert signs into this number sentence.
20 (72 9) = 12
3. Simplify the ratio. 2 : 10 = 1 :
5 (15 5) = 2
5. Simplify 200
500 .
6. Write the numeral ten million, one hundred
and eleven thousand.
7. What will I pay for a €500 phone with a 25% discount?
€
8. Round 1.459 to one decimal place.
9. y = °
10. 44, 88, 176, , 704
11. 3 kg 40 g = 3 40
1,000 kg = 3. kg
12. 70% of €300 = €
13. What is the difference in area? m 2
14. (40 ÷ 5) × (5 × 10) =
15. Double 8.9.
16. 14 ten thousands, 21 thousands and 15 hundreds
=
17. 1 4 kg + g + 1.4 kg = 2 kg
18. Is 27 a multiple of 3 and 9?
19. 1 2 + 1 4 =
8 m
5 m
20. 3 5 = %
80°
2 m 5 m
y
40°
4. 25 × 4 × 86 =
5. 0.02 × 10 =
6. 3 kg 4 g = 3 4
1,000 kg = 3. kg
7. 3, 9, 27, 81 Rule =
8. 5.029 + 2.236 =
9. Colour to show 3 4 of a litre.
= m
10. What is the chance of you
selecting a King from a deck of
52 playing cards?
11. – 6 + – 4 =
in
12. 1% of €100 = €
13. What is the perimeter of a regular pentagon with
60-mm sides?
mm
14. If a car travels 5 km in 3 minutes, how far does it travel
in one hour?
km
15. Write in descending order.
2.02 2.0 2.2 2.002
Review sample
, , ,
The pie chart shows the favourite
sports of 6th Class pupils.
32 pupils were surveyed.
16. How many liked football?
17. How many liked hurling?
18. What percentage liked tennis? %
19. What fraction liked swimming?
Tennis
Hurling
Swimming
20. How many more liked football than hurling?
1
Football
68 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. – 7 + – 3 =
2. Simplify 6 9 .
3. 200, 20, 2,
4. Insert signs into this number sentence.
Colour in.
1. 1 5 = 0. = % =
2. – 3 + – 5 =
3. Draw a line of symmetry on the semicircle.
Week 23
(3 8) 16 = 40
5. 0.04 × 100 =
6. 10 4 5 = (improper fraction)
7. Double 32.5.
8. What is the difference between the areas
of the two shapes?
m 2
9. 0.001 × 1,000 =
10. Round 64,698 to the nearest thousand.
11. A circle has a radius of 8 cm.
What is the diameter?
12. 2 3 5 + e = 3 1 5 , so e =
cm
13. Will a circle and a triangle tessellate together?
14. What will I pay for a €500 TV if
there is a 75% discount?
€
15. Write the numeral ten million, one hundred and one.
16. 3 kg 400 g = 3 400
1,000 kg = 3. kg
17. 4.237 + 3.129 =
18. Write in ascending order.
1
5
3
4
2
100
, , ,
19. What is the perimeter of a regular hexagon with
70-mm sides?
20. Which is better value?
mm
€80 suit with a 75% discount
€90 suit with a 66 2 3 % discount
4 m
75 %
OFF!
1
3
3 m
8 m
8 cm
3 m
TV
4. The place value of the 5 in 2.052 is .
5. 1.5 × 0.4 =
6. Double 17.5.
7. It is 2.15 a.m. in Ireland. It is 11.15 a.m. on the same
day in Australia. What is the time difference?
8. 1 3 5 + 4 5 =
9. 6 80
100 = (improper fraction) 100
10. If there are £0.60 to €1.00, how many euro would you
get for £15.00?
€
11. 3 1 5 – 4 5 =
12. Simplify the ratio. 6 : 30 = 1 :
13. Round 3.654 to two decimal places.
14. 0.001 × 200 =
15. A circular driveway has a radius of 5 m.
What is the diameter?
54
16. Write 1,000 as a decimal.
17. 4 × × 17 =1,700
18. Complete the pattern.
Review sample
1 2
1
19. 5 ÷ 1 2 =
2 2
4
20. What is the perimeter of a regular octagon
with 50-mm sides?
mm
4 2
16
m
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 69

PROBLEM-SOLVING
FRIDAY REVIEW
Week 23
Monday
PET STORE
1. – 5 + – 8 =
2. 2 5 = %
3. Simplify 12
15 .
4. Double 28.5.
16. Write in descending order.
1
5
1
3
3
10
, , ,
17. y = °
1
100
y
5. 5 1 5 – 3 5 =
60º 60º
0 A B
1. What is the length of the sign? mm
2. Work out the measurements.
A = mm B = mm
Tuesday
1. All non-numbers from a deck of 52 playing cards
were removed. Circle the chance of selecting a
♠ on the chance line. (Shuffled cards and randomly
chosen.)
0 0.25 0.5
2. The chance of not selecting a ♠ is %.
Wednesday
Here is a survey of food
places in an Irish town.
Find the percentage of
1. fast food places. %
2. cafes. %
Thursday
1. Which spinner has the best chance
of landing on a 2?
2. Write the chance, as a percentage,
of each spinner landing on a 5.
A = %
B = %
C = %
3,600 mm
0.75 1
SURVEY
Cafes - 4
Bakeries - 3
Fast Food - 18
4
9
6.
Music store
What is the height of
this sign?
7. 4 × 59 × 250
=
8. 0.07 × 100 =
mm
9. 75% of €200.00 =
€
10. Double the size of this shape.
11. Use – and ÷.
18 (9 3) = 15
12. 3.048 + 2.527 =
13. 15 ten thousands
15 thousands
15 hundreds
=
14. Simplify the ratio.
7 : 35 = 1 :
15. What is the perimeter of
a regular hexagon with
50-mm sides?
mm
850 mm
18. Round 4.477 to
two decimal places.
19. The time is 3.15 p.m. in
Ireland and 8.15 p.m.
on the same day in
India. What is the time
difference?
20. 5 ÷ 1 2 =
21. A circular driveway has a
radius of 3 m. What is the
diameter?
22.
m
Name this 3-D shape.
23. The shape in Question 22
has
Review sample
5
7
9
8
7
6
A
B
2
4
C
10 1
5
2
3
4
faces.
edges.
vertices.
24. 77, 154, 308,
25. If a car travels 4 1 2 km in
3 minutes, how far can it
travel in 1 hour?
km
70 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. – 3 + – 6 =
2. A fridge costs €300 plus 20% VAT.
What is the total price?
€
3. Double the size of this shape.
Draw using the grid.
1. – 4 + – 10 =
2. Area of a path 2 m by 18 m? m 2
3. 2 × 9 × 3 =
4. Simplify 30
35 .
5. Write the numeral ten million, one hundred
and ten thousand, one hundred and ten.
Week 24
4. Change 9 2 3 to an improper fraction.
5. 2 – 1.75 =
6. 0.50, 0.75, , 1.25
7. Simplify 20
25 .
8. 6 ÷ 0.5 =
9. 0.09 × 100 =
10. 1.5 × 0.4 =
11. Round 0.297 to one decimal place.
12. 6 3 5 + 2 4 5 =
13. 2 × 7 × 3 =
14. 6.645 – 2.032 =
15. 6 1 5 – 4 5 =
16. y = °
17. If 2 3 of a class of 30 are wearing a uniform,
how many are not wearing it?
18. 10 371 = r
19. 9.7 – e = 9, so e =
y 50°
20. Write the decimal four point zero five.
6. 127 ÷ 10 = r
7. 6 kg 30 g = 6 30
1,000 kg = 6. kg
8. If you cycle your new blue bike for half
an hour and cover 13 1 2 km, how fast
are you travelling?
km/h
9. A square-based pyramid has
faces.
edges.
vertices.
10. Complete the multiples of 3 and 4.
Colour any matching multiples.
11. 3 5 = 0.
3 6 9
4 8 12
12. 1 – 0.005 =
13. 1 hectare (ha) = m 2
14. The angles in a trapezium add up to °.
15. An obtuse angle is less than a reflex angle.
Review sample
True
16. 7 2 10 – 9 10 =
17. 1 2 + 2 5 =
False
18. 6 2 =
19. 625 m = 5 8 = 0.
20. If there are 1,000 teachers and 3 4 of
them are female, how many are male?
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 71

WEDNESDAY
THURSDAY
Week 24
1. The place value of the 0 in 84,170 is .
2. – 6 + – 8 =
3. 1.3 × 0.4 =
4. 6 96 = 96 ÷ 6 = 96 6
= 60 6 + 36 6 = 10 + =
5. 4 5 = 0.
6. (200 ÷ 4) ÷ 10 =
7. Halve 1 3 .
8. What 3-D shape can you make by stacking circles?
9. Double 13.5.
10. A cuboid has
faces.
edges.
vertices.
11. The minute hand will rotate °
from 11 to 3.
12. 8.495 – 2.342 =
13. On the first grab, what is the chance of
selecting a €1.00 coin from a wallet consisting of
€3.00 in €1.00 coins and €3.00 in 50c coins?
14. 1 2 – 1 4 =
in
15. Simplify the ratio. 8 : 56 = 1 :
16. Is 33 a prime number?
17. y = °
18. 900 m = 9 10 = 0.
19. 2 4 =
11
10
9
8
7
12
6
y 45°
1
2
3
4
5
1. 1 10 = 0. = %
2. A washing machine costs €250 plus 20% VAT.
What is the total price? €
3. Draw the axes of symmetry on the hexagon.
4. Double 1 4 .
5. Round 2.565 to two decimal places.
6. 6 132 = 132 ÷ 6 = 132
= 120
6 + 12 6 = 20 + =
7. 1.8 × 0.2 =
8. 8 2 3 + 1 2 3 =
9. 7 kg 5 g = 7 5
1,000 kg = 7. kg
10. x = °
11. 4.273 + 2.064 =
12. Write in descending order.
808 1.8 2 1 2
6
, ,
13. Complete the multiples of 4 and 6. Colour any
matching multiples.
4 8
6 12
14. Round 24.0786 to three decimal places.
15. The angles in a parallelogram add up to °.
16. 1 – 0.009 =
17. Write the decimal three point two four.
18. 63 5 = (mixed number)
19. Simplify the ratio. 9 : 36 = 1 :
Colour in.
Review sample
x
45°
20. 50%
(fraction) =
20. 1 8 = m
(decimal) =
= (colour the circle to show)
72 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. Complete the multiples of 4 and 5.
Colour the matching multiples.
4
5
1. 1.9 × 0.2 =
2. 1 4 = 0.
3. – 3 + – 4 =
4. Double this shape.
17. Insert signs into this
number sentence.
(50 2) 5 = 30
18. 7 3 7 = (improper fraction)
Week 24
2. What will be the next matching multiple of 4 and 5?
Tuesday
A
2 C 4
B 5
A
2 C 4
B 5
1. Which face is opposite 5?
2. Which face is opposite C?
Wednesday
1. 32,000 = 25 × × 8 × 4
2. 25 × × 2 × 8 = 32,000
Thursday
1. The minute hand rotated from 1 to 11.
How many degrees of rotation?
°
11
10
9
8
7
12
6
1
2
3
4
5
5. A television costs €400
plus 20% VAT. What is
the total price?
€
6. 10 – e = 9 1 2 ,
so e =
7. 7 2 5 – 4 5 =
8. (2,000 ÷ 20) ÷ 5 =
9. 7 2 =
10. 8.476 – 3.054 =
11. 3,679 m =
12. 2 × 83 =
13. 1 – 0.007 =
14. x = °
x
125º
19. Draw a 270° clockwise
rotation.
20. A triangular prism has
faces.
edges.
vertices.
21. 4.295 + 2.334 =
22. The angles in a rhombus
add up to °.
23. 333 m = 1 3 =
0.
24. Complete the multiples
of 4 and 8. Colour any
matching multiples.
4 8
Review sample
8
2. The hour hand moves from 1 to 2 in
minutes. Each mark (minute) equates to
15. Complete the magic square.
4
minutes for the hour hand.
12
1
2
3
5
8 6
16. 7 3 4 + 3 3 4 =
25. What is the chance of
choosing a red jelly bean
from a jar containing 1 red
and 99 green ones?
in
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 73

MONDAY
TUESDAY
Week 25
1. – 6 + – 8 =
2. 3 3 4 + e = 4 1 2 , so e =
3. a = °
4. A new phone costs €500 plus 20% VAT.
What is the total price?
€
5. 1.5 × 0.4 =
6. Simplify 4 10 .
7. Is 19 a prime number?
8. 30 – 1 3 =
9. Draw the axes of symmetry on
this hexagon.
10. 3 4 = 0.
11. Write 5
100 as a decimal. 0.
12. 8.549 – 2.035 =
13. y = °
y 45°
14. Round 20.4853 to three decimal places.
15. 750 m = 3 4 = 0.
16. 999,997 , 999,998 , 999,999 ,
17. Rotate the rectangle 90° clockwise and draw
the new position.
18. How long is the pencil? mm
c m
10
11 12 13
14 15 16
65°
45° a
1. The angles in a triangle are 40° and 85°.
What is the 3rd angle? °
2. 400,000 , 600,000 , 800,000 ,
3. 900 – × = 200, so x =
4. 10 5 =
5. – 4 + – 12 =
6. (900 ÷ 30) × 5 =
7. Halve 1 8 .
8. 1.6 × 0.3 =
9. If 4 5 of your class of 25 eat porridge for breakfast,
how many do not?
10. Name this 3-D shape.
11. How many faces has the above shape?
12. How many edges?
13. How many vertices?
14. How many of Box B will
fit evenly into Box A?
9
15. Write 1,000 as a decimal.
16. 7.569 – 5.241 =
17. 1 2 + 1 3 =
Review sample
7 cm
18. 8 kg 250 g = 8 250
1,000 kg = 8. kg
12 m
3 m
3 m
5 cm
2 cm
5 m
1 cm
1 cm
2 cm
19. If three of these pencils are placed end-to-end, how long
would they be?
mm
20. Tick the larger. 50% of 20
15% of 60
5 m
3 m
3 m
12 m
19. Area = m 2
20. Perimeter = m
74 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 1 4 + 1 8 =
2. A microwave costs €200 plus 20% VAT.
What is the total price?
€
3. 6 – 2 5 =
4. 1.4 × 0.5 =
5. Round 15.5089 to three decimal places.
6. 0.6 × 4 =
7. Halve 1 5 .
8. Name this 3-D shape.
9. This shape has faces.
edges.
vertices.
10. Rotate the rectangle 180° anticlockwise and draw the
new position.
11. 250 m = 1 4 = 0.
12. 250,000 , 500,000 , 750,000 ,
13. Write in ascending order.
7.07 0.009 3 1 2
, ,
14. The angles in a rhombus add up to °.
15. 1 1 4 = 1.
16. y = °
17. 1 8 of = 5
18. A pencil case has 10 blue and 5 red pencils. What is the
chance of choosing a red pencil?
in
19. 0.001 × 50 =
y 50°
20. Write the decimal four point zero five.
1. What is the perimeter of a regular octagon with
70-mm sides?
mm
2. A lorry left at 6.00 a.m. and arrived at its destination
6 hours later. It covered 600 km.
How fast was the lorry travelling?
3. Two angles in a triangle are 45° and 90°.
What is the 3rd angle? °
4. The sum of 6.4 and 0.9 is .
5. Draw a net of a pentagonal prism.
6. Double 1 8 .
7. (800 ÷ 40) ÷ 5 =
8. 8 1 3 + 2 3 =
9. – 8 + – 6 =
10. 9.541 – 2.315 =
11. 40% = 0.
12. 10,000, 9,200, 8,400, 7,600,
13. Round 14.2073 to three decimal places.
14. 5 kg 4 g = 5 4
1,000 kg = 5. kg
15. Write in descending order.
16. 0.9 × 5 =
km/h
1
2 0.049 0.1 3%
17. Write 11
100 as a decimal. 0.
, , ,
Review sample
18. The minute hand has rotated
°.
11
10
9
8
7
19. Tick the larger. 75% of 40 35% of 100
20. Are all the angles in an equilateral triangle acute?
12
6
1
2
3
4
5
Week 25
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 75

PROBLEM-SOLVING
FRIDAY REVIEW
Week 25
Monday
1. A farmer has 2 hectares of land. For each
1,000 m 2 , there are 8 sheep. How many sheep
are on the farm altogether?
2. If each sheep ate 10 m 2 of grass daily, how many
square metres of grass are consumed on the farm
each day?
1. A large container of maple syrup
is used at Pancake's Cafe.
The chef uses 3 5 of the container
in 10 days. How many litres does he use?
2. On average, how many
litres does the chef
use each day?
Wednesday
At 3 p.m. on Monday, the 12th of July, Bobby asked
his dad to tell him the date and time of the concert
they were going to. Dad told him that the concert
would start in exactly 245 hours.
1. What day and date is the concert?
1. Is 23 a prime number?
17. a = °
a
2. – 9 + – 6 =
65°
55°
3. 3 8 of = 9
5
18. Write 1,000 as a decimal.
4. Halve 1 4 .
5. A computer costs €1,000
plus 20% VAT. What is the
19. The minute hand has rotated
m 2
total price?
°.
€
12
11 1
10 2
6. 1.6 × 0.2 =
9
3
8 4
7. Write in descending order.
7 5
6
7
8 0.55 5% 0.1
20. If 2 3 of your class of 27 ate
Tuesday
,
8. 1 – 0.002 =
21. The largest is
9. Round 14.8569 to
three decimal places.
30% of 20.
50% of 16.
50 litres 40% of 15.
, ,
cereal this morning, how
many did not?
40
30
20
10
0
10. 1 5 = 0.
4
11. Write 1,000 as a decimal.
0.
12. From A, how many
millimetres to 3 m?
80
90 2000 10 20
A
13. Write the numeral
1.9 million.
mm
22. The angles in a trapezium
add up to
23. 9
1,000 = 0.
°.
24. How many faces has a
square-based pyramid?
Review sample
25. Draw a net of a triangular
prism.
2. What time does it start?
Thursday
1. 1 4 , 1 2 , 1, 1 3 4 , 2 3 4 ,
2. 1 3 , 2 3 , 1 1 3 , 2 1 3 ,
14. 40% = 0.04
True
False
15. The angles in a triangle are
35º and 110º. What is the
third angle?
16. Write 2 1 4 as a decimal.
°
76 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 1 8 + 1 2 =
2. 900 – e = 500, so e =
3. The shaded area is m 2 .
4. – 4 + – 9 =
4 m
6 m
4 m
6 m
1. – 2 + – 9 =
2. A fridge costs €250 plus 20% VAT. What is the total price?
€
3. (240 ÷ 60) × 7 =
Week 26
5. Write in descending order.
4. 1.5 × 0.5 =
5% 0.9 0.11 0.222
5. Two angles in a triangle are 90° and 40°.
6. Simplify 15
20 .
7. 1.8 × 0.3 =
8. 9.638 – 4.374 =
, , ,
9. Round 16.6324 to three decimal places.
10. Tick the larger.
25% of 80 30% of 100
11. 0.8, 1.1, 1.4, 1.7, , 2.3
12. 25% of €100.00 = €
13. The total cost of 5 sweets is 70c.
What is the average cost of one sweet?
14. 0.4 × 0.3 =
15. 4 3 = × × =
16. If there are £0.60 to €1.00, how many euro for £30.00?
€
17. Write the coordinates.
A =
B =
C =
18. 3 5 × 10
12 =
19. Write the numeral ten million, nine hundred and ninety
thousand and ninety.
20. 3a + 10 = 19, so a =
B
A
c
What is the 3rd angle? °
6. 2,500 , 2,250 , 2,000 ,
7. Draw the axes of symmetry
on this octagon.
8. Round 14.3692 to three decimal places.
9. How many faces has a triangular prism?
10. 500 m = 1 2 = 0.
11. 0.6 × 0.3 =
12. 32 = 2a, so a =
13. 4 5 = 10 = 100 = %
14. A pentagonal prism has
faces.
edges.
vertices.
15. 4y – 10 = 10, so y =
16. Write the coordinates.
Review sample
C
A =
B =
C =
17. Area = m 2
18. Perimeter = m
19. 20 ten thousands and 20 hundreds as a numeral is
2 m
B
5 m
2 m
C
10 m
A
5 m
4 m
20. How many right angles has a square?
.
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 77

WEDNESDAY
THURSDAY
Week 26
1. Draw a net of a cylinder.
2. – 3 + – 6 =
3. 4 3 =
4. 7.849 + 2.591 =
5. 0.3 × 100 =
6. 2 3 = 9
7. The total cost of 4 chocolate bars is €3.20.
What is the average cost of one chocolate bar?
c
8. y = °
9. 6 kg 24 g = 6 24
1,000 kg = 6. kg
10. Write in ascending order.
11. 2 3 × 6 8 =
4% 6 1 4 0.5 2
, , ,
12. A bag contained 1 pink, 3 yellow and 6 white
marshmallows. Tick the chance of randomly selecting
a yellow marshmallow.
13. 12
20 = 0.
3 0.3
14. Write 40
100 as a decimal.
15. 10 – 0.9 =
16. 2a – 15 = 25, so a =
17. y = °
18. 3 ÷ 1 2 =
1
4 0.25
19. How many right angles has a trapezium?
y
55° 55°
y 30°
1. What is the size of this angle?
°
2. A car costs €10,000 plus 20% VAT.
What is the total price? €
3. 1.3 × 0.6 =
4. 6.537 – 2.184 =
5. 40% of €500 = €
6. 49 × 37 = 1,813 813 6,993 1,816
7. Round 23.0679 to three decimal places.
8. Simplify 18
21 .
9. (320 ÷ 80) × 9 =
10. Draw the rectangle after a 450° rotation anticlockwise.
11. 400 m = 2 5 = 0.
12. 4 9 × 3 8 =
13. 8 – 0.02 =
14. Tick the larger. 75% of 60 80% of 50
15. Can a triangle and a square tessellate together?
16. 0.05 = %
17. Two angles in a triangle are 85° and 45°.
Review sample
What is the 3rd angle? °
18. 5a – 15 = 15, so a =
20. Insert signs into this number sentence.
20 (64 8) = 12
19. Write the coordinates.
A =
B =
C =
20. If you are paid €5.50 an hour for cleaning your room
(it takes 3 hours!), how much do you earn?
€
B
A
C
78 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. A sea container measured 10 m × 2 m × 2 m.
It was filled with 80 crates of jelly beans.
What was the volume of each crate?
m 3
2. Each crate weighed 50 kg. What was the total
weight of the jelly beans?
kg
Tuesday
1. The cost of the jelly beans was €2 per 500 g.
What was the total cost of the shipment?
€
1 m
B
1 m
1 m
2. Which crate's dimensions match the volume?
Wednesday
1. To show 0.6 × 0.3,
• colour 0.6 (vertically)
• colour 0.3 (horizontally)
The intersection (overlap) is the
product of 0.6 and 0.3, which is
2. Show 0.4 × 0.8.
The intersection = .
.
Thursday
1 m
1 m
1. Elaine thought of a number. She added 15 and
divided it by 2. Her answer was 10.
What number did she start with?
100 × 10
2. 1,000 50 × 20
A
0.5 m
0.5 m
C
0.5 m
0.5 m
1. 0.97, 0.98, 0.99,
2. – 3 + – 8 =
3. 64 = 2a, so a =
4. 1.6 × 0.3 =
5. Write the coordinates.
A =
B =
C =
5
4
3
2
1
6. 9 × 6 =
7. 14
20 = 0.
8. The total cost of 6 pens is
66c. What is the average
cost of one pen?
9. 2 3 = 15
10. 5 8 × 4 15 =
c
11. 2y + 2 = 20,
so y =
12. A car costs €20,000 plus
20% VAT. What is the total
price?
€
0 1 2 3 4 5
13. Two angles in a triangle are
95º and 50º. What is the
3rd angle?
14. Draw a net of a cube.
°
15. 8.439 – 2.127 =
16. Tick the larger.
75% of 40
35% of 100
17. 40% of €500.00 =
€
18. 750 m = 3 4 =
0.
19. Can an ellipse tessellate?
20. 9 6 8 + 4 3 4 =
21. 6 ÷ 2 3 =
22. 3 1 4 km = m
23.
The light-pink shaded
area is
24. 39 × 44 =
cm 2 .
1,716 1,714
3,716 1,793
25. If you are paid €4.50 per
hour as a chocolate cake
tester, what should you earn
after 5 hours?
Review sample
HINT: Grid is 1 whole; each square
= 0.01 or 10 squares = 0.1
B
A
C
€
2 cm
1 cm
2 cm
8 cm
6 cm 6 cm
Week 26
25 ×
12.5 ×
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 79

MONDAY
TUESDAY
Week 27
1. How many right angles has a rectangle?
2. What is the perimeter of a regular
pentagon with 40-mm sides?
3. – 9 + + 3 =
mm
1. – 10 + + 7 =
2. 15 ÷ 0.5 =
3. Write the numeral ten million, one thousand
and one.
4. Write 10 3 8 as an improper fraction.
5. 350 , 700 , 1,050 , 1,400 , 1,750 ,
6. 9,000 – e = 6,000, so e =
7. 1.5 × 0.2 =
8. Round 12.5675 to three decimal places.
9. A pizza restaurant made 500 pizzas each day.
40% had olives. How many pizzas had no olives?
10. What is the average of these cricket scores?
11. 1% = 0.
4 0 35
12. The value of the 5 in 250,470 is .
13. 1 3 × 6 9 =
14. If there are £0.60 to €1.00, how many euro
for £6.00? €
15. Draw to show a 270° rotation anticlockwise.
16. A car costs €5,000 plus 20% VAT.
What is the total price? €
17. 10 ÷ 0.5 =
18. If you are paid 1 1 2 times the normal rate (€5.00 per hour)
what do you earn for 2 hours of work?
4. Tick the larger. 75% of 80 70% of 90
5. 2 e = 32, so e =
6. Write in ascending order.
473
1000 4.00 34
, , , ,
7. The total cost of four pens is 48c.
What is the average cost of one pen?
8. Name this triangle.
9. 5% = 0. = 100
10. 5a – 5 = 20, so a =
11. The angles in a triangle are 80° and 60°.
What is the 3rd angle? °
12. 300 g = 0. kg
13. y = °
14. (600 ÷ 30) × 50 =
15. 250 m = 1 4 = 0.
16. What percentage of 12 is 6? %
41
10 2 1 5
17. Write the numeral two million, twenty thousand
and two.
18. 75% = 3 4 = 0.
19. Name this 3-D shape.
y
45°
Review sample
c
€
19. Plot the coordinates
(0,1), (3,5) and (3,1)
to make a triangle.
20. What type of triangle is it?
20. Plot the coordinates
(1,1), (1,4), (4,4) and (4,1).
Connect the points.
80 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 1.7 × 0.3 =
2. Halve 0.04.
3. 8
20 = 0.
4. 40 × 70 = e + 800, so e =
1. 3 apples cost 50c. How much for 15 apples?
€
2. If 2 3 of your teachers cycle to school, what fraction
do not cycle to school?
Week 27
5. Round 15.23 to one decimal place.
6. The value of the 6 in 650,450 is
3. Name this triangle.
7. 2 3 of 30 =
8. x = °
9. 4% = 0.
10. 3 4 × 2 3 =
11. What is the average of these cricket scores?
25, 52, 60 and 75
12. What percentage of 5 is 2? %
13. Double 12.6.
14. 10a – 3 = 27, so a =
15. 200 m = 1 5 = 0.
16. You cleaned your room on Sunday and your pay
was double time (normal rate €4.00 per hour).
How much did you earn after 3 hours?
€
17. What is the lowest common
denominator of 3 25 and 2 5 ?
18. 20% = 1 5 = 0.
19. Write in descending order.
1
4 8% 0.1
, ,
20. Draw lines to match.
a 100°
.
85°
55°
a
x
b
4. 4 5 of 50 =
5. 1,000,000, 10,000, 100,
6. Halve 0.08.
7. 289 g = 0. kg
8. – 5 + + 8 =
9. Tick the larger. 20% of 80 25% of 60
10. Plot the coordinates
(0,5), (2,1) and (5,1)
to make a triangle.
11. 1 4 × 2 3 =
12. Double 14.6.
13. 400 mm = 0. m
14. What is the LCD of 3 25 and 4 10 ?
15. 2 25 = 0.
16. 6a – 4 = 20, so a =
17. What is the floor area of a classroom 9 m by 6 m?
18. 11 2 =
Review sample
19. 30% = 3 10 = 0.
m 2
20. A car costs €2,500 plus 20% VAT. What is the total price?
€
b 80°
80 º
100 º
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 81

PROBLEM-SOLVING
FRIDAY REVIEW
Week 27
1. 10,000
2. 5
Monday
Tuesday
1. The sum of 2 numbers is 14. The difference between
the numbers is 4. The numbers are
and .
2. The product of 2 numbers is 48. The difference
between the numbers is 2. The numbers are
and .
Wednesday
1. The difference between
the towns is
km.
2. If you lived in New Town, and your school
was in Old Town, how many kilometres
would you travel in a school week?
1.
100 ÷ 20
km
1,000 × 10
500 × 20
÷ 10
÷ 25
÷ 2.5
× 80
× 160
Thursday
4 , 9 3 9
+ 2, 5 9
1 2 0, 5 2 8
OLD TOWN 105 km
NEW TOWN 75 km
1. 8 ÷ 0.5 =
2. 450, 900, 1,350,
3. Halve 0.06.
4. 3,650 g
, 2,250
= kg g
5. 2% = 0.
6. – 3 + + 7 =
7. 6.3 – 0.8 =
8. 1.5 × 0.4 =
9. Round 4.2718 to
three decimal places.
10. The value of the 7 in
750,920 is .
11. Plot the coordinates
(0,5), (1,2) and (5,0).
12. What is the floor area of a
classroom 9 m by 7 m?
13. 7 20 = 0.
14. 1 4 × 8 12 =
m 2
15. Name this triangle.
16. A car costs €1,500 plus
20% VAT. What is the total
price?
€
17. Two angles in a triangle are
65º and 65º. What is the
third angle?
18. 800 g = 0. kg
°
19. Write in ascending order.
71
1,000
71
100
, ,
3
5
20. Write the numeral three
million, thirty-three
thousand and five
hundred.
21. 6 pencils cost 90c. What
is the average cost of
one pencil?
22. 2 3 of 36 =
c
23. Your chocolate cake testing
job pays time and a half on
Saturdays. If you work for
5 hours, what should you
earn if the normal rate is
€5.00 an hour?
€
24. If there are £0.60 to €1.00,
how many euro would you
get for £6.00?
Review sample
€
25. 750 m = 3 4 =
0.
2.
– 3 5 0
4 5 0
82 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. – 4 + + 5 =
2. 1.8 × 0.2 =
3. Round 3.4672 to three decimal places.
4. Write 64 9 as a mixed number.
5. 5,000, 4,000, 3,000,
6. 60% discount on a €20.00 item.
New price = €
7. 2,000 = 400 + y, so y =
8. A car is travelling at 60 km per hour.
How long will it take to travel 1 km?
9. The value of the 7 in 74,012 is .
10. 65 m = 0.
11. Double 8.09.
12. Halve 8.09.
13. 2 1 2 % = 0.
minutes.
14. What is the volume of a box 20 cm by 30 cm by 40 cm?
15. 1.5 ÷ 0.3 =
cm 3
16. If there are US$0.90 to €1.00, how many euro for
US$2.70? €
17. Draw to show a 180° rotation anticlockwise.
18. What is the average of these class results? %
85% 60% 35%
19. Tick which roads are parallel.
1. – 5 + + 2 =
2. What is the LCD of 2 3 and 6 8 ?
3. (40 ÷ 8) × (8 – 5) =
4. 1 3 × 3 4 =
5. 1,200 – a = 700, so a =
6. 30% discount on a €300.00 item.
New price = €
7. Double 7.009.
8. Name this triangle.
9. A car costs €7,500 plus 20% VAT.
What is the total price? €
10. How many lines of symmetry
does this letter have?
11. 89 m = 0. km
12. 4 3 4 = (improper fraction)
13. What 3-D shape has 4 faces, 4 vertices and 6 edges?
14. 4 × 1 2 = 4 ÷
15. 1.7 × 0.3 =
The pie chart shows the number of events won
by each team at Sports Day.
16. There were 32 events in total.
How many events did the yellow
team win?
Review sample
17. What fraction of events did the
green team win?
Green
Red
Blue
Yellow
Week 28
HARD RD
EASY AVE
THIS WAY
THAT WAY
18. How many events did the red team win?
19. What fraction of events did the blue team win?
20. Tick the larger. 20% of 100 50% of 50
20. Did the red and blue teams win the same
amount of events?
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 83

WEDNESDAY
F
THURSDAY
Week 28
1. Double 16.008.
2. Write another name for a 3-D shape that is a tetrahedron.
3. 9 1 3 – e = 8 2 3 , so e =
4. – 6 + + 2 =
5. What is the LCD of 3 4 and 2 10 ?
6. Round 20.0756 to three decimal places.
7. The place value of the 8 in 18,207 is
8. y = °
9. If you cycle 8 km in quarter of an hour,
how far can you cycle in 2 hours?
.
km
10. Tick the larger. 10% of 50 40% of 25
11. 9 1 2 % = 0.
12. The total cost of 3 pens is 48c. What is the average cost
of one pen?
13. 6 × 1 3 = 6 ÷
14. 600 m = 3 5 = 0.
15. 10% = 1 10 = 0.
16. Which letter is opposite D?
17. Round 0.087 to two decimal places.
18. 13 cm = 0. m
19. Plot the coordinates (1,1), (1,5), (5,5) and (5,1).
Join the points with lines.
What shape is it?
20. Write the coordinates
of B.
c
55° y
A
B
C
D
E
F
D
B
1. 1.5 × 0.6 =
2. What is the chance of choosing a face card from
a deck of 52 playing cards?
in
3. A car is travelling at 60 km per hour.
How long will it take to travel 5 km?
minutes
4. What is the area of a wall 7 m by 4 m? m 2
5. 1 3 of an hour = minutes
6. Halve 0.03.
7. 5 5 20 – 15
20 =
8. 12 × 1 3 = 12 ÷
9. The angles in a triangle are 95° and 50°.
What is the 3rd angle? °
10. The total cost of 5 stickers is 90c. What is the average
cost of one sticker?
11. How many degrees has a square? °
12. 45 ÷ 5 = 3a, so a =
13. Round 7.097 to one decimal place.
14. Show a 90° rotation anticlockwise.
15. The area of the house is 200 m 2 .
What is the area of the garden?
m 2
16. The perimeter of the house is 60 m.
What is the perimeter of the garden?
17. 3 1 2 % = 0.
m
18. 6y – 10 = 20, so y =
19. 60% = 3 5 = 0.
20. Which letter is opposite E?
A
House
10 m
20 m
Garden
Review sample
B
B
C
D
E
F
D
E
30 m
F
20 m
84 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. A fast train took 3 hours to complete a 750-km
express journey.
The average speed was
km/h.
1. What pyramid has 5 faces?
2. – 3 + + 7 =
3. Write three capital letters
which are symmetrical.
14. Which letter is opposite D?
A B C
D
C
D
E F
E
Week 28
2. Luke is shorter than Liam but taller than Conor.
However, Ian is taller than Liam. Order the boys'
heights.
Shortest
Tuesday
1. What fraction of an hour is 20 minutes?
2. What fraction of an hour is 18 minutes?
(in simplified form)
Wednesday
1. Which number is opposite 2?
2. Which number is opposite 3?
1. Angle a = º
a
110°
Thursday
2. Which type of triangle?
Tallest
1
2 3 4
5 6
3
4
1
2
3
, ,
4. Tick. The roads are
perpendicular.
parallel.
5. 1.7 × 0.2 =
6. Round 0.067 to two decimal
places.
7. 25 m = 0.
8. A car is travelling at 60 km
per hour. How long will it
take to travel 6 km?
9. 2 3 of an hour =
10. Find 0.8 of 35.
11. Double 4.095.
12.
WHICH ROAD
30 m
WHAT ROAD
minutes
minutes
15 m
House
Garden 20 m
40 m
The area of the house is
300 m 2 . What is the area of
the garden?
m 2
13. The perimeter of the
house is 70 m. What is the
perimeter of the garden?
15. 8 1 2 % = 0.
16. The angles in a triangle are
80º and 45º. What is the
3rd angle?
17. 9,000, 18,000, 27,000,
18. 14 cm = m
19. What is the average of
these three scores?
30, 15 and 0
20. How many edges has
a cube?
21. 40% discount on a
€200.00 item. How much
do you save?
€
°
22. If there are £0.60 to €1.00,
how many euro would you
get for £60.00?
Review sample
35 °
€
23. 7y + 7 = 28,
so y =
24. If you cycle 7 km in quarter
of an hour, how far can you
cycle in 2 hours?
25. 6 × 1 2 = 6 ÷
km
m
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 85

MONDAY
TUESDAY
Week 29
1. This painting was bought for
€300 and sold for a 5% profit.
What was the selling price?
€
2. 2
100 + 3 10 = 0.
3. What do we call an angle that has 90°?
4. The value of the 5 in 7.095.
5. 1.0 – 0.075 =
6. 1.5 × 0.4 =
7. Simplify 30
60.
8. 9 × 1 3 = ÷ 3
9. A car is travelling at 30 km per hour. How long will
it take to travel 10 km?
10. Write in ascending order.
minutes
0.99 3 2 3 5%
11. Which lines are
parallel?
, ,
perpendicular?
12. The total cost of 5 pens is 95c. What is the average
cost of one pen?
13. What is the area of the
light-pink shaded area?
14. 3.2% = 0.
m 2
15. 875 m = 7 8 = 0.
16. 10% off a €200.00 item = €
17. 10 ÷ 0.5 =
18. 2.5 m by 2 m? m 2
19. What number is halfway between –4 and +6?
c
5 m
7 m
A
B
5 m
7 m
1. If there are US$0.90 to €1.00,
how many euro for US$18.00? €
2. – 10 + + 4 =
3. 18 ÷ 0.5 =
4. 650, 1,050, 1,450, 1,850,
5. Double 27.06.
6. 60 × a = 3,000, so a =
7. An angle is >0º and

WEDNESDAY
THURSDAY
1. Write the coordinates of A.
2. Write the coordinates of B.
3. – 5 + + 9 =
4. An angle is between 90° and 180°.
1. 1.8 × 0.2 =
2. This painting was bought
for €300 and sold for a
3% profit. What was the
selling price?
€
65°
Week 29
5. 5
20 > 1 2 True False
6. A car costs €1,500 plus 20% VAT.
What is the total price? €
7. Double 1 4 .
8. The total cost of 4 sweets is 84c.
What is the average cost of one sweet?
9. 9.3 – a = 8.9, so a =
10. 6y + 2 = 20, so y =
11. 700 m = 7 10 = 0.
12. A jam factory lost 1 10 of its 1,000 jars due to breakage.
How many were lost?
13. Name this 3-D shape.
14. What number is halfway between –2 and +8?
15. Which digit in the decimal 8.75 is the hundredth?
16. Write the fractions from smallest to largest.
3
4
17. 5 ÷ 1 2 = 5 × 2 =
1
2
1
8
, , ,
18. The angles in a rhombus add up to °.
19. 10 ÷ 0.5 = 10 ÷ 1 2 True False
20. What is the number after 999,999?
5
8
c
3. y = °
4. 40 × a = half of 400, so a =
5. Simplify 50
100 .
6. Double 15 1 2 .
7. What is the height of this cuboid?
cm
8. A car is travelling at 30 km per hour.
How long will it take to travel 1 km?
minutes
9. The place value of the 4 in 425,000 is
10. x = °
11. 9y – 2 = 70, so y =
12. 40% = 2 5 = 0.
13. 2.8, 3.1, 3.4, 3.7,
14. What is the next square number after 81?
15. 70% of 50 < 75% of 48 True False
16. The angles in a parallelogram add up to °.
17. Write the fractions from smallest to largest.
2
3
3
6
1
3
, , ,
18. 7 mm = 0. m
19. The chance of landing on a
(a) prime number is %.
(b) 5 is %.
80° y
20. The chance of landing on any number
other than 5 is
in , or %.
.
x 105°
Review sample
cm
11
8
9
7 3
5
2
75
0
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 87

PROBLEM-SOLVING
FRIDAY REVIEW
Week 29
Monday
1. How long is this sign? mm
FIX
THEM UP
1. 11
100 + 5 10 = 0.
2. 8,000 ÷ 800 =
3.
13. What number is halfway
between –5 and +7?
14. 75 = y × 3,
so y =
2. It cost €1,200 plus 20% VAT to create the sign.
The total cost was € .
h2o
2.5 litres
1. How many cupfuls?
2,100 mm
Tuesday
2. How many barrels can be filled?
Wednesday
1. 1 : 2, 2 : 4, 3 : 6, :
2. 2 : 3, 4 : 6, 8 : 12, :
Thursday
1. Which spinner has the best chance
of landing on a 7?
2. Write the chance, as a percentage,
of each spinner landing on a 4.
5
7
250 ml
A
4
9
This painting was bought
for €500 and sold for a
20% profit. The selling
price was ‹
€ .
4. 5 mm = 0. m
5. What do we call an angle
that is >90º but 4 20
True
False
20. Round 20.4879 to three
decimal places.
21. What is the area of a table
2.4 m by 0.5 m?
m 2
22. A phone costs €200
plus 20% VAT. What is
the total price?
Review sample
B
2
€
23. What is the next square
number after 49?
24. What prism has 7 faces?
A = %
B = %
C = %
9
8
7
6
4
C
10 1
2
3
4
5
12. There are 94 pupils
altogether in 4th, 5th
and 6th Class. How many
children do not bring a bike
to school?
25. A strawberry jam factory
loses 1 10 of its jam to
hungry workers. If they
produce 1,000 per week,
how much do they lose
each week?
88 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 0.4 ÷ 0.2 = 0.4
0.2 × 10
10 = 4 2 =
2. The average of 3 numbers is 15. Two of the numbers are 17
and 18. What is the 3rd number?
1. Is N symmetrical? Yes No
2. An octahedron has
faces.
edges.
Week 30
3. There was €500 in a bank account. After 1 year,
2% interest was paid. The new balance was
€ .
4. How many faces has an octahedron?
5. 500, 450, 400, , 300
6. 8 ÷ 0.5 = 8 ÷ 1 2 = 8 × 2 =
7. 1.1% = 0.
8. The total cost of 6 pencils is €1.50.
What is the average cost of one pencil?
9. 800 m = 4 5 = 0.
10. 25% off a €400 item is a saving of € .
11. What number is halfway between –5 and +5?
12. Write the numeral ten million, eight hundred.
13. A television costs €400 plus 20% VAT. What is the
total price? €
14. Which digit in the decimal 8.125 is the hundredth?
15. 9 × 3 = 54 ÷
16. The pencil end is at the 25 cm mark.
How long is the pencil?
17. If a painter charged €3.00 per square metre
to paint a 7 m × 2 m wall, it cost would € .
18. a + 11.7 = 12.5, so a =
19. The area of the house is 1,000 m 2 .
What is the area of the garden?
m 2
c m
10
11 12 13
cm
c
14 15 16
3. y + 1,200 = 3,000, so y =
4. 1.7 × 0.2 =
5. – 5 + + 3 =
6. Double 0.65.
7. 9,000 – a = 5,500, so a =
8. Draw as a 90° rotation
clockwise.
9. 1 4 + 1 8 =
vertices.
10. 1 2 < 1 5 True False
11. A car is travelling at 60 km per hour.
How long will it take to travel 10 km?
12. 25% = 1 4 = 0.
13. 3y + 4 = 28, so y =
14. What is the next square number after 9?
minutes
15. What is the chance of selecting a girl's name from a hat
if there are 15 girls’ names and 5 boys’ names?
in
16. 110 m = 0. km
17. Plot the coordinates (0,1), (0,5)
and (4,3) to form a triangle.
18. Which digit in the decimal
8.125 is the thousandth?
Review sample
50 m
Garden
40 m
50 m
19. What is the perimeter of a regular hexagon with
30-mm sides?
mm
20. Which pairs of sides are parallel?
and
F
A
B
20. The perimeter of the house is
130 m. What is the perimeter
of the garden?
25 m
House
and
and
E
D
C
m
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 89

WEDNESDAY
THURSDAY
Week 30
1. 0.6 ÷ 0.2 = 0.6
0.2 × 10
10 = 6 2 =
2. 4 cm = 0. m
3. Double 0.95.
4. Is either S or E symmetrical?
5. y = °
6. – 9 + + 6 =
7. This art was bought for
€400 and sold for a 40%
profit. What was the
selling price?
€
8. 25 =
9. 3 5 + m = 1
10. Name this 2-D shape.
11. 0.2, 0.6, 1, 1.4,
12. Circle the letter that has no line of symmetry.
E B N Y
13. 1 3 of y = 9, so y =
14. 40% = 4 10 = 0.
15. If there are US$0.90 to €1.00, how many euro
for US$6.30? €
16. A computer costs €800 plus 20% VAT.
What is the total price?
€
17. 4.4% = 0.
18. 100 – e = 60, so e =
65° y
19. Write the fractions from smallest to largest.
1. What is the area of a floor 12 m by 11 m?
m 2
2. 0.9 ÷ 0.3 = 0.9
0.3 × 10
10 = 9 3 =
3. An obtuse angle is between ° and °.
4. A car is travelling at 30 km per hour.
How long will it take to travel 5 km?
minutes
5. 1.35 kg = g
6. The total cost of 7 pens is €1.54.
What is the average cost of one pen?
7. 80% = 4 5 = 0.
8. 10 4 10 – 6 10 =
9. Double 0.55.
10. y = °
11. 8 × 5 = ÷ 0.5 = 40
12. What number is halfway between –8 and +4?
13. 1,000 × 0.007 =
14. How many of Box B will
fit evenly into Box A?
15. Round 10.056 to one decimal place.
16. Which digit in the decimal 8.125 is the tenth?
17. Draw a net of a triangular prism.
y
8 cm
2 cm
2 cm
2 cm
Review sample
45°
6 cm
2 cm
c
6
8
1
8
5
10
1
4
18. Halve 12 1 2 .
, , ,
20. How many edges has a tetrahedron?
19. Write the fractions from smallest to largest.
1
2
2
3
2
6
7
9
, , ,
20. How many vertices has a cube?
90 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. An art dealer sold 10 prints at
€85 each. This gave him a total
profit of €170. What was the
original price of a print?
€
2. The delivery cost of each print is €3.95. Deliveries
over 8 items are charged an additional €1.50 per
item. What is the total delivery cost?
€
Vegetables
Flowers
Paving
Tuesday
1. What fraction of the landscaping is the
vegetable garden?
2. What percentage is the flowers? %
the paving? %
Wednesday
1. The tomatoes weighed 4.8 kg.
Draw the needle to show the weight.
2. What weight needs to be
added to make 6 kg?
kg
Thursday
1. 200 g of tomatoes cost 50c. What is the cost of 4.8 kg?
€
2. The shopkeeper found that 10% of the 4.8 kg
was spoiled. What weight of tomatoes can the
shopkeeper sell?
1. 1.2 ÷ 0.2 = 1.2
0.2 × 10
10 = 12 2 =
2. Double 0.85.
3. – 3 + + 9 =
4. The average of 4 numbers
is 10. Three of the numbers
are 9, 8 and 11. What is
the 4th number?
5. What number is halfway
between –4 and +8?
6. 8 × 3 = 3 × = 24
7. How many faces has an
octahedron?
8. Which digit in the decimal
5.268 is the thousandth?
9. 1 3 of y = 9, so y =
10. 2.2% = 0.
11. Halve 8 1 2 .
12.
Which sides are parallel?
13. 8 6 20 – 10
14.
D
and
20 =
x
x = °
15. The total cost of 8 sweets is
€2.24. What is the average
cost of one sweet?
c
110º
16. 9,700 m = km
17. 140 mm = m
18. What is the perimeter
of a regular pentagon
with 90-mm sides?
mm
19. Round 6.043 to one
decimal place.
20. A fridge costs €800 plus
20% VAT. What is the total
price?
€
21. The area of the house is
400 m 2 . What is the area
of the garden?
m 2
22. The perimeter of the
house is 80 m. What is the
perimeter of the garden?
m
23. 6.3, 6.9, 7.5,
24. If there are £0.60
to €1.00, how many
euro would you get for
£12.00?
€
House
Review sample
kg
A
C
B
20 m
20 m
60 m
Garden
25. A pack of cards (1–20) are
shuffled. Tick the chance
of randomly selecting a
multiple of 3.
20% 25%
30% 35%
40 m
Week 30
kg
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 91

MONDAY
TUESDAY
Week 31
1. 0.8 ÷ 0.2 = 0.8
0.2 × 10
10 = 8 2 =
2. 0.96, 0.97, 0.98, 0.99,
3. What is the perimeter of a
regular hexagon with 60-mm sides?
4. – 7 + + 3 =
5. The total cost of four pizzas is €24.
What is the average cost of one pizza? €
6. 1 2 < 1 10 True False
7. 8 253 m = 8 253
1,000 = 8.
8. 7 – 0.04 =
mm
9. Which digit in the decimal 4.705 is the thousandth?
10. 20% = 2 10 = 0.
11. Is the formula: area = l + w correct?
12. 5 2 =
13. A cube has 2-cm by 2-cm faces.
What is the cube’s surface area? cm 2
14. Write three capital letters that are symmetrical.
15. 6% = 0.
, ,
16. Round 3.06 to 1 decimal place.
17. Rotate the triangle 450°
anticlockwise. Draw its new
position.
18. H H T T Circle the chance of a head/tail
or a tail/head.
H T T H
0 0.25
1. 3 4 > 1 2 True False
2. An octahedron has faces.
3. 0.9 ÷ 0.3 =
4. – 4 + + 9 =
edges.
vertices.
5. 75,000 , 150,000 , 225,000 ,
6. 5 450 m = 5 450
1,000 = 5.
7. An angle of 90° is a angle.
8. What is the
perimeter?
mm
9. 66 2 3 % = 2 3 = 0.
10. This is a net of a
11. 6 2 =
12. Is the formula: area = l – w correct?
.
13. Will a hexagon and a square tessellate together?
14. A cube has 3-cm by 3-cm faces.
What is the cube’s surface area? cm 2
15. Draw the axis of symmetry
on the irregular pentagon.
Review sample
0.50 0.75 1.0
0 1
1 1 3
4 2 4
14 m
25 mm
30 mm
16. Round 6.14 to 1 decimal place.
100 mm
70 mm
17. Tick which would be the best to measure the height of
your teacher.
ruler trundle wheel metre stick
10 mm
15 mm
3 m
3 m
3 m
3 m
9 m
3 m
18. 9% = 0.
19. The value of the 9 in 952,075 is .
8 m
19. Area = m 2
20. 4,000,000 – 400,000 =
20. Perimeter = m
92 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 5 ÷ 1 4 = 5 × = 20
2. Write the coordinates
of Point A.
3. Write the coordinates of Point B.
5
B
4
3
2
A
1
0 1 2 3 4 5
1. – 5 + + 3 =
2. The total cost of 5 drinks is €6.25.
What is the average cost of one drink? €
3. Rotate this rectangle 90° clockwise and draw the
new position.
Week 31
4. 1.07, 1.08, 1.09,
5. What is the perimeter? cm
6. 8 2 =
7. 8 ÷ 0.1 = 8 0.8 80
8. 37 1 2 % = 3 8 = 0.
9. Round 4.3781 to 1 decimal place.
10. A cube has 4-cm by 4-cm faces.
What is the cube’s surface area? cm 2
11. 110% = (decimal)
12. This is a net of a
13. 2 3 × 9 12 =
14. Which digit in the decimal 4.705 is the tenth?
.
The graph shows the number of sunny days for
the first six months of a year.
15. Which month had
13 sunny days?
16. Which month had the
most sunny days?
17. Which month had the
least sunny days?
SUNNY DAYS
15 cm
20 cm
MONTHS
60 cm
35 cm
4. 1.2 ÷ 4 =
5. 50, 5, 100, 10, 200, 400.
6. 7 945 m = 7 945
1,000 = 7.
7. Which digit in the decimal 4.705 is the hundredth?
8. 1 3 + 1 6 =
9. 5.5 – 0.9 =
10. What is the perimeter?
mm
11. 3 5 < 1 2 True False
12. Match the roads.
Perpendicular = Parallel =
A
HAPPY STREET
HOLIDAY ROAD
13. 12 ÷ 1 3 = 12 3
14. 80% = 8 10 = 0.
+ – × ÷
15. Is the formula: area = l × w correct?
16. 1 whole = %
B
150 mm
CHOCOLATE WAY
BEACH STREET
Review sample
80 mm
110 mm
70 mm
18. How many more sunny days had March than January?
19. Which month had fewer sunny days than you might expect?
17. A cube has 5-cm by 5-cm faces. What is its surface area?
cm 2
18. Round 2.056 to 1 decimal place.
19. This is a net of a .
20. Which month had 23 sunny days?
20. 7 × = 28
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 93

PROBLEM-SOLVING
FRIDAY REVIEW
Week 31
1. What is the ratio of
square-based
pyramids to cubes?
Monday
2. What is the ratio of cube faces
to pyramid faces?
Tuesday
1. What is the ratio of triangular
prism edges to cube edges?
2. If the ratio of edges of triangular prisms
to cubes is 36:48, how many of each shape
is there?
Wednesday
1. On a train trip to Dublin, one carriage had 45
passengers to 30 seats. In another carriage, there
were 55 passengers to 30 seats. What is the total
simplified ratio of passengers to seats?
2. On another trip, with the same 2 carriages, the
simplified ratio of passengers to seats was 3:4. How
many passengers were travelling?
Thursday
1. Niall spent 0.3 of his money in one shop and 5 10 in
another shop. He had €12 left. How much money
did he start with?
1. 0.6 ÷ 0.2 =
2. – 6 + + 9 =
3. The total cost of 5 pizzas is
€25.50. What is the average
cost of one pizza?
€
4. 1 10 > 1 3
True False
5. 4 295 m = 4 295
= 4.
6. 2 5 × 10
15 =
1,000
7. 0.1 = %
8. 60,000 , 150,000 ,
240,000 , 330,000 ,
9. 1 3 + 1 3 =
10. What is the perimeter of a
regular pentagon with
45-mm sides?
mm
11. This is a net of a
12. What is the perimeter of
this quadrilateral?
20 mm
.
mm
13. Area of a square = l × w
True
60 mm
45 mm
False
15 mm
14. A cube has 2-cm by 2-cm
faces. What is the cube’s
surface area?
€
cm 2
2. Jenny's brothers are triplets. The four of them have
an average age of 11. If Jenny is 14 years old, what 15. Complete the magic square.
age are her brothers? 9
5
8 1
16. An octahedron has
faces.
edges.
vertices.
17. What do we call an angle
that is between 180º
and 360º?
18. 7 ÷ 1 3 = 7 × = 21
19. Rotate this shape 450°
anticlockwise and draw its
new position.
20. 4 2 =
21.
Write the coordinates
of Point A.
22. Write the coordinates
of Point B.
Review sample
23. 30,000,000 – 300,000 =
24. How many degrees has a
circle?
25. 1 8 + 1 4 =
°
94 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 7,000,000 – 700,000 =
2. 25 =
2
3. 1 ÷ 0.1 =
4. 24 ÷ 1 3 = 24 3
5. Write the numeral ten million, five hundred and twelve
thousand and fifteen.
6. 8% of €10.00 = €
7. What is the place value of the 4 in 2.4 million?
8. The total cost of 6 drinks is €7.20.
What is the average cost of one drink? €
9. How many degrees is the inside angle between
the hands on a clock displaying 9 o’clock?
10. Tick the composite numbers.
°
15 11 21 7 27
11. 80 × 30 = 24 × y, so y =
12. 4 5 + 2 4 5 =
13. Draw to show a 270° rotation clockwise.
14. Round 15.6073 to three decimal places.
15. Write the formula to work out the area of a rectangle.
area = ×
+ – ÷ ×
16. 1,000 × 0.001 =
17. Tick which would be better to weigh a banana.
kitchen scales
bathroom scales
18. What is the volume of the fish tank?
1. Simplify 18
24 .
2. Write the numeral 3.65 million.
3. How much are the wages if you pay time and
a half for 4 hours (normal rate €10.00 per hour)?
€
4. 7 3 4 = (decimal) .
5. A angle has exactly 90°.
6. 6.05 km = m
7. – 7 + + 3 =
8. 9 45 m =9 45
1,000 = 9.
9. Tick which would be the best to measure the length
of a street.
ruler trundle wheel metre stick
10. If it takes you 5 minutes to travel 6 km, how far will you
travel in an hour?
km
11. Which digit in the decimal 0.527 is the tenth?
12. Write 49 6 as a mixed number.
13. Round 21.3689 to three decimal places.
14. What is the radius of the circle?
m
15. What is the surface area of this cuboid?
cm 2
16. 5,000 ÷ (50 × 10 2 ) =
Review sample
1 cm
18. Are 210 and 120 both prime numbers?
17. What is the average of these dance scores?
9.3 8.7 8.8 9.2
18 m
2 cm
3 cm
Week 32
50 cm
cm 3
19. 3.3 > 3 1 5 True False
40 cm 80 cm
19. 0.7 < 8 10 True False
20. If there are ¥116 to €1.00, how many
euro would you get for ¥580? €
20. What shape is the sign?
House
for sale
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 95

WEDNESDAY
THURSDAY
Week 32
1. If there are ¥116 to €1.00, how
many euro would you get for ¥232? €
2. Write the numeral 8.2 million.
3. Simplify 15
18 .
4. 7.092 = m
5. Convert the speed of 1 km in 4 minutes to km/h.
km/h
6. 9 4 5 = (improper fraction)
7. Increase 32 by 0.25.
8. – 5 + + 9 =
9. The total cost of 8 cakes is €4.40.
What is the average cost of one cake?
10. What is the size of Angle a?
>
11. Change 5 3 8 to an improper fraction.
12. What is the average of these dance scores?
7.8 8.4 7.6 8.2
13. Which digit in the decimal 5.026 is the thousandth?
14. Halve 750.
15. 4y = 280, so y =
16. Write the formula to work out the area of a square.
a = l
a 120°
75° 60°
>
w
17. What is the surface
area of this cuboid?
cm 2
c
1. Increase 40 by 0.75.
2. – 15 + – 2 =
3. 100 × 1.03 =
4. 10 8 m = 10 8
1,000 = 10.
5. 14
100 + 3 10 = 0.
6. 62 1 2 % = 5 8 = 0.
7. Write the numeral five million and five.
8. Halve 8.5.
9. 1,800 , 2,600 , 3,400 ,
10. Draw a net of a cylinder.
11. What is the simplified
ratio of boys to girls if
there are 8 boys
and 24 girls?
12. 6,030 mm = m
13. 6.9 – 1.1 =
14. y = °
15. Round 12.5467 to three decimal places.
16. Tick which would be better to weigh an apple.
kitchen scales
17. 85,000 , 100,000 , 115,000 ,
18. The area of the house
is 400 m 2 . What is the
area of the garden?
m 2
19. The perimeter of the house
is 80 m. What is the
perimeter of the garden?
m
bathroom scales
50 m
y
65° 75°
Review sample
5 c m
3 c m
2 c m
30 m
Garden
20 m
20 m
House
50 m
18. Write in ascending order.
5
10 0.1 0.99 1%
19. 100 × 0.003 =
20. 10 × 0.03 =
, , ,
20. 1.5 ÷ 0.3 =
96 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. What percentage is coloured yellow? %
2. What percentage is coloured blue? %
Tuesday
1. What percentage is coloured red? %
2. What percentage is coloured green? %
1. Colour the beads.
(a) 30% blue.
(b) 40% green.
2. (a) 10% red.
(b) 20% yellow.
Wednesday
Thursday
1. Write in the values of the missing coins.
2. Write in the values of the missing coins.
= €2.75
= €2.75
= €4.25
1. The place value of the 4 in
4,378,200 is
2. Simplify 10
12 .
3. 10 2 – 3 2 =
4. y = °
5. Rotate 450° clockwise.
6. What is the radius of
the circle?
cm
7. 6,000 , 12,000 , 24,000 ,
48,000 ,
8. What is the average of these
dance scores?
7.8 8.4
7.6 8.2
9. 1.6 ÷ 0.4 =
10. 3 1 3 + 3 2 3 =
11.
= €4.25
2 m
A
The volume of the fish
tank is m 3 .
12. There are 3 fish per cubic
metre. How many fish are in
the tank?
.
y
50º 75º
13. Write the formula to
work out the area of a
rectangle.
a = ×
14. The total cost of 9 cakes is
€3.15. What is the average
cost of one cake?
15. 9 2 =
16. – 3 + + 7 =
17. 6y = 360,
so y =
18. 2,075 mm = m
19. Enlarge this line by 4:1.
c
mm
20. If there are ¥116 to €1.00,
how many euro would you
get for ¥580?
€
21. What is the area of a
rectangular field 100 m by
15 m?
m 2
22. 5 25 m = 5 25
1,000
= 5.
23. Which digit in the decimal
2.347 is the hundredth?
Review sample
14 cm
1.5 m 6 m
14 cm
24. What is your speed if you
travelled 7 1 2 km every 30
minutes?
km/h
25. A 3-D shape has six 2-cm
by 5-cm faces. What is the
shape’s surface area?
Week 32
cm 2
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 97

MONDAY
TUESDAY
Week 33
1. Write the numeral 1.3 million.
2. 2.1 ÷ 0.7 =
3. If you enlarge this line by 4:1, the new line
will equal
cm.
4. Is the formula: diameter = 2 × r correct?
5. Tick which would be better to weigh a potato.
kitchen scales
6. 5 4 m = 5 4
1,000 = 5.
7. 1 2 × 1 4 =
8. 9 2 =
bathroom scales
9. Liam had 5 new different-coloured pencils in his bag. The
chance of randomly choosing a singular colour is
100%. 0.2.
5 in 1. 0.5.
10. What is the average shoe size? 4, 10, 13
11. 10 5 =
12. Plot these coordinates
for a triangle.
(1,1), (5,1) and (5,5)
13. 7.205 kg = g
14. a + 2.3 = 3.1, so a =
15. A cube has six 3-cm by 3-cm square faces.
What is its surface area? cm 2
16. The area of the house is 70 m 2 .
What is the area of the garden?
m 2
17. The perimeter of the house is 34 m.
What is the perimeter of the garden?
m
18. There are 0.6 euro to 1 Canadian dollar. How many euro
would you exchange for 20 Canadian dollars?
€
19. 10 ÷ 0.1 =
10 × 10
1 10 ÷ 1 10 ÷ 1.0
20. 8,000,000 – 80,000 =
14 m
Garden
1. If there are ¥116 to €1.00, how many euro would you
get for ¥1,160?
€
2. What is the floor area of a kitchen 10 m by 3.5 m?
m 2
3. An octahedron has
faces. edges. vertices.
4. Write the numeral 6.09 million.
5. 63,000 , 71,000 , 79,000 ,
6. Round 14.9721 to three decimal places.
7. 2.5 ÷ 0.5 =
8. 15, 21, 23, 19, 27
What is the average of these ages?
9. Rotate 540° clockwise.
10. 1 2 × 1 2 =
11. What is the chance of spinning a 2?
Show as an 'x' on the chance line.
0 0.25 0.50 0.75 1.0
12. What is the chance of spinning a 1?
Show as a • on the chance line.
13. A shape has six 4-cm by 2-cm faces.
What is the shape’s surface area? cm 2
14. What is the surface
area of this cube?
cm 2
15. 80,000 = 8 × 10y, so y =
16. 6 1 4 – 3 4 =
17. There are 6 euro to 10 Australian dollars. How many euro
would you exchange for 50 Australian dollars?
€
18. 1.07 m = cm
19. Order the fractions from smallest to largest.
7
8
1
4
3
4
, , ,
1
2
20. 1 km 750 m = m
1 2
Review sample
30 m
10 m
7 m
House
3 cm
3 cm
98 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. Write the numeral 2.75 million.
2. Round 21.5875 to three decimal places.
3. What is the average of these shoe sizes? 4, 7, 5, 3, 6
4. 3 4 , 1 1 4 , 1 3 4 , 2 1 4 , ,
5. What is the length of this line if it is lengthened
1. What is the perimeter of a square with 9-cm sides?
cm
2. 2.4 ÷ 4 =
3. What is the
shaded area? m 2
4. Write the numeral 3.05 million.
4 m
9 m
6 m
3 m
Week 33
by 3:1?
cm
6. The time is 2.30 p.m. in Ireland and 9.30 a.m. in New York
on the same day. What is the time difference?
7. Is the formula: diameter = 4 × r correct?
8. Tick which would be better to weigh a bag of sugar.
9. 1 9 × 1 9 =
kitchen scales
10. Decrease €70 by 0.7. €
bathroom scales
11. Write the prime numbers from 10 to 20.
, , and
12. What should you earn if you received double time
for 6 hours of work? (Normal rate €10.00 per hour.)
€
13. 4 2 + 5 2 =
14. 8.005 m = mm
15. 2 1 2 > 2.055 True False
HEIGHT (m)
Average Height of Children Aged 8–12
16. Which age has an average height of 1.5 m?
17. Which age has the tallest children?
5. 3 55 m = 3 55
1,000 = 3.
6. 3 4 × 1 2 =
7. What is the average? 2, 4, 5, 6, 8
8. 15,000 , 95,000 , 175,000 ,
9. 1 2 + 1 3 =
10. There are 7 euro to 1,000 Japanese yen. How many euro
would you exchange for 5,000 Japanese yen?
€
11. 3.75 + 0.25 =
12. There are 4 roses for every 3 daffodils in a bouquet of 35
flowers. How many daffodils are in the bouquet?
13. 9 =
14. What do you call an angle that is between
180° and 360°?
15. 1 5 of an hour = minutes
16. Is the formula: diameter = 3 × r correct?
17. 7 1 4 < 7.3 True False
Review sample
AGE
18. 2 3 of an hour = minutes
19. y × 3 5 = 3 5 , so y =
20. 6th Class Favourite Cakes
8 children liked chocolate, which is 1 3 of the pie chart.
(a) How many liked lemon?
18. How much taller are 11-year-olds than 9-year-olds?
m
19. Which age has an average height of 1.44 m?
(b) How many liked carrot?
Fruit
Carrot
Lemon
Chocolate
20. How much taller are 9-year-olds than 8-year-olds?
cm
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 99

PROBLEM-SOLVING
FRIDAY REVIEW
Week 33
Monday
1. Which set of money is the amount given to each of
the 10 pupils who won an equal share of €100?
× 8 × 8 × 6 × 4 × 8
2. There were 12 cars and 5 motorbikes in a car park.
Each car had 1 spare tyre in the boot. In total, how
many tyres were in the car park?
Tuesday
1. 8 pupils equally divided €20.
(a) How much did each get? €
(b) What is the least number of coins each received?
€ × and c ×
2. A bank orders 2 euro coins and 1 euro coins in the
ratio of 2:3. The last order was for €3,000 in 1 euro
coins. What was the value of the 2 euro coins?
€
Wednesday
1. A bank orders €20 notes and €5 notes in the ratio
of 1:5. The last order was for €10,000 in €20 notes.
What was the number of €20 notes?
2. What was the value of the €5 notes? €
Thursday
1. This container has a volume of 60 m 3 .
What is its height?
m
2. This container has a volume of 120 m 3 .
The height is m.
3 m
:
× 8
× 8
1. 3 5 of an hour =
2. 2.8 ÷ 0.7 =
minutes
3. Write the numeral
3.2 million.
4. Is the formula: diameter of
a circle = d × r correct?
5. What is the surface area of
the cube?
cm 2
6. 7 25 m = 7 25
= 7.
7. 1 4 × 1 2 =
1,000
8. 2 km 310 m = km
9. Plot these coordinates for a
triangle. (1,1), (0,4) and (5,1)
10. Write in ascending order.
3%, 0.3, 8 1 2 , 51%
, ,
,
11. Which spinner has a 0.5
chance of landing on 2?
A B C
12. Write the numeral twenty
point three six.
13. 2.03 m = cm
14. There are 0.6 euro to 1
Canadian dollar. How many
euro would you exchange
for 10 Canadian dollars?
€
15. 8.75 + 0.25 =
16. What is the probability, as a
fraction, of spinning a
3?
2?
1?
17. Tick which would be the
best to measure the length
of a computer screen.
ruler
trundle wheel
metre stick
18. 3 2 + 5 2 =
19.
Enlarge this line by 3:1.
20. 36 =
21.
cm
Draw to show a rotation of
540° clockwise.
22. Round 16.5093 to
3 decimal places.
Review sample
4 m
8 m
5 m
2
1 1
4 cm
2 2 2
1
4 cm
2 1
1
23. Increase €200 by 0.5.
€
24. Order the fractions from
smallest to largest.
1
2
8
9
25. – 3 + + 6 =
1
3
1
2
, ,
,
3
4
6
100 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. Simplify 10
15 .
2. 3.5 ÷ 0.5 =
3. Complete the formula: diameter = ×
4. 8 300 m = 8 300
1,000 = 8.
5. 3 5 + 4 5 =
6. 1 2 × 3 4 =
7. Write the numeral 2.08 million.
8. 1,000 , 3,000 , 9,000 , 27,000 ,
9. The chance of a baby being born a girl is
0%. 50%. 100%.
10. What is the radius of a circle which has
a 50-cm diameter?
11. a ÷ 3 = 5, so a =
12. 8 2 =
13. Name this shape.
cm
14. A cube has six 2-cm by 2-cm faces.
What is the surface area?
cm 2
15. What is the place value of the
7 in 3.067?
16. There are 6 euro to 10 Australian dollars.
How many euro would you exchange for
20 Australian dollars?
€
17. 2 3 of = 14
18. 1 8 km = m
19. 59 × 9 =
20. What is the average of the dance scores?
4.8 4.3 4.2 4.7
1. 3.6 ÷ 0.6 =
2. What is the volume of a trench 3 m by 2 m by 1 m?
m 3
3. Tick which would be better to weigh cooking ingredients.
kitchen scales
4. Simplify 2 3 9 .
bathroom scales
5. What is the perimeter? mm
6. Write the numeral 2.8 million.
7. 1 4 × 1 2 =
8. 11,000,000 – 1,500,000 =
9. There are 7 euro to 1,000 yen. How many
euro would you exchange for 2,000 yen?
€
10. Reduce the line by 3:1.
mm
11. What is the place value of the 3 in 1.073?
12. 11 2 =
13. Tick which would be the best to measure the capacity
of a bucket.
5,000-m container
1,000-m jug
100-m beaker
14. y = °
15. 75 × 45 = 3,370 3,375
3,371 3,372
16. 1 2 = 4 = 6 = 8
17. 100 × 1.01 =
18. Order these from smallest to largest.
0.3
1
4
2
3
, , , ,
19. 1.96, 1.97, 1.98, 1.99,
80°
55° y
Review sample
40 mm
12 mm
2
4 0
38 mm
50 mm
Week 34
20. 49 × 9 =
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 101

WEDNESDAY
THURSDAY
Week 34
1. Write the numeral 6.057 million.
2. 4.5 ÷ 0.9 =
3. Simplify 3 12
15 .
4. Complete the formula: diameter = ×
5. What is the perimeter of this
quadrilateral?
6. 1 2 × 1 5 =
7. 39 × 9 =
8. 1 5 + 1 2 =
mm
9. Simplify 36:6 = :
10.
Reduce this line by 4:1.
11. 10,000,000 × 10 =
12. Order these from smallest to largest.
0.88
3
4
4
5 1 1 5
mm
, , , , ,
13. 39 × 25 × 40 =
14. The angles in a quadrilateral add up to °.
15. 0.097, 0.098, 0.099,
16. Convert the speed of 1 km in 12 minutes to km/h.
17. 2 3 + 2 3 + 2 3 =
km/h
18. Write two capital letters that have a horizontal line
of symmetry.
and
19. What is the area of the garden?
m 2
20. The perimeter of the house
is 80 m. What is the perimeter
of the garden?
m
28 mm
60 m
1
3
42 mm
25 mm
40 m
20 m
40 mm
Garden
House
20 m
1. 8.1 ÷ 0.9 =
2. 1 6 + 1 2 =
3. Reduce this line by 5:1. mm
4.
The time difference is
and
minutes.
5. Write the numeral 10.65 million.
6. Simplify 20
60 .
7. 1,100,000 – 300,000 =
8. 4 25 m = 4 25
1,000 = 4.
9. 2 5 × 1 2 =
10. Show as a 90° rotation clockwise.
11. 1 5 of an hour = minutes
12. 1 4 + 4
13. 10 4 =
14. 4 =
10 APRIL 11 APRIL
10:45 02:05
100 =
15. 6 m = mm
16. 3.85, 3.9, 3.95, , 4.05,
17. Draw a dot at (5,1)
and label it 'A'.
18. Draw a dot at (1,5)
and label it 'B'.
hours
Review sample
19. There are 0.6 euro to 1 Canadian dollar. How many euro
would you exchange for 5 Canadian dollars?
€
20. Round 18.3678 to three decimal places.
102 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
1. The surface area of this cube is 24 cm 2 .
The volume is
cm 3 .
2. The surface area of this cube is 150 cm 2 .
The volume is cm 3 .
Tuesday
6th Class Library Borrowings
Number of Books
70
60
50
40
30
20
10
0
1 2 3 4 5 6
School Weeks
1. What possibly occurred in Week 4?
2. In Week 6, there were 40 books borrowed.
Plot this on the line graph. What possible reason/s
could there be for the decline of books borrowed
from the previous week?
Wednesday
1. A juice drink stall used 30% of its 40 bags of
oranges on Monday. How many bags were left?
2. Each bag of oranges averages 800 m of juice.
How much orange juice was made on Monday?
m
1. Write the numeral
4.73 million.
2. 4.5 ÷ 0.5 =
3. y × 200 = 1,000,
so y =
4. Reduce this line by 3:1.
mm
5. 100 × 1.001 =
6. Complete the formula:
diameter = ×
7. 9.85, 9.9, 9.95,
8. 5 2 m = 5 2
= 5.
9. 1 5 × 1 2 =
1,000
10. What is the place value of
the 4 in 2.624?
11. The chance that it will rain
today is
12. 11 2 =
0%. 50%.
100%.
13. A shape has eight 3-cm
by 4-cm faces. What is the
shape’s surface area?
cm 2
15. There are 6 euro to 10
Australian dollars. How
many euro would you
exchange for 30 Australian
dollars?
€
16. What is the average of 60,
90 and 30?
17. 3 4 + 3 4 + 3 4 =
18. 1,000,000 × 10 =
19. Show as a 270º rotation
clockwise.
20. 1 3 = 9 = 12
21. Round 21.5986 to
3 decimal places.
22. 200 seconds =
min
sec
23. The angles in a trapezium
add up to
°.
24. 7 10 + 7 10 = (decimal)
Review sample
25. The surface area of this
cube is 96 cm 2 .
The dimensions of each
square face are
Week 34
Thursday
1. Tomatoes cost 80c per 200 g. What is the cost of
14. y = °
y
cm by
cm.
5 kg tomatoes? €
45º 60º
2. The tomatoes were reduced in price by 50%.
What is the cost of 4 1 5 kg?
€
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 103

MONDAY
TUESDAY
Week 35
A 60 °
B 88 °
60 ° a
b 47 °
c
C
90 ° 45 °
1. Find the missing angles.
Angle a = ° Angle b = °
1. 1 3 > 0.1 True False
2. 9,000,000 ÷ 10 =
3. Change 8 3 8 to an improper fraction.
4. 1 2 + 1 3 =
5. A stack of 20c coins = €7.80. How many coins?
Angle c = °
2. Write 2 3 4 as an improper fraction.
3. Enlarge this line by 3:1. mm
4. 40 hundred thousands =
5. 3.3 ÷ 0.3 =
6. Complete the formula: area of a square = ×
7. 1 2 × 2 5 =
8. 2 3 of = 28
9. y = °
10. A cube has six 5-cm by 5-cm faces.
What is surface area of this cube? cm 2
11. 1 2 + 1 10 =
12. 80 + 80,000 + 900 =
13. Name this shape.
14. 1 2 > 0.358 True False
15. 6% = 0.
16. 4,000 , 400 , 40 , 4 ,
17. How many of Box B will fit
evenly into Box A?
18. If there are ¥116 to €1.00, how many euro would
you get for ¥348? €
19. Write the coordinates of
A .
B .
C .
y 50°
A
6 mm
B
5 cm
5 cm
4 mm
8 mm
C
2 mm
2 mm
2 mm
6. 8.03 m = mm
7. 30% of €300.00 = €
8. Reduce this line by 2:1.
mm
9. If you are paid time and a half (normal rate is €8.00 per
hour), what do you earn after 6 hours work?
€
10. How many faces has an octahedron?
11. 9% = 0.
12. Draw to show a 180° rotation clockwise.
13. 900 , 90 , 9 , 0.9 ,
14. 7 7 m = 7 7
1,000 = 7.
15. y = °
The graph shows the number of rainy days for the
first six months of a year.
16. Which month had 15 rainy days?
Review sample
17. Which month had
the most rainy days?
18. Which month had the
least rainy days?
19. How many more rainy days had January than June?
y
RAINY DAYS
MONTHS
20. What type of triangle in Question 19?
20. Which month had 20 rainy days?
104 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 5 1 4 – 3 4 =
2. 1 5 < 0.1 True False
3. 2.7 ÷ 0.3 =
4. Complete the formula: diameter = ×
5. Enlarge the line by 4:1. mm
6. 1 5 × 1 2 =
7. 100 × 0.01 =
8. y = °
9. Parts of South America are 4 hours behind GMT. If it is
3 a.m. in London, what time is it in South America?
10. What is the shaded area? m 2
11. 2.43 + 6.54 =
12. Draw the rectangle after a 540° rotation anticlockwise.
13. 1.25 million + 0.75 million =
14. 3
10 = %
15. 4.04 kg = g
16. 8.4, 8.6, 8.8, , 9.2
17. What is the missing outcome for a two coin toss?
H
H
5 m
5 m
18. 40% off a €100.00 item saves you € .
19. Round 3.455 to 1 decimal place.
20. If you are cycling at 30 km/h, how far can you cycle in
10 minutes?
km
15 m
5 m
H T T
T
Review
T
5 m
8 m
y
50° 50°
1. 125,000 , 250,000 , 375,000 ,
2. What is the perimeter?
mm
3. Tick which container would be the best to measure the
capacity of a large bottle of lemonade.
5,000-m container
1,000-m jug
100-m beaker
4. 0.099 > 1 10 True False
5. Double 75.5.
6. 2.4 ÷ 0.6 =
99
7. 9 99 m = 9 1,000 = 9.
8. 1 2 × 4 5 =
9. 89 × 9 =
10. Reduce this line
by 6:1.
mm
11. If your normal rate is €10.00 per hour, how much do
you earn after 6 hours at time and a half?
€
12. There are 7 euro to 1,000 Japanese yen. How many
euro would you exchange for 3,000 Japanese yen?
€
13. 3.5 – 0.8 =
14. Double the shape.
15. 1 5 + 4 5 + 3 5 =
16. 25 =
17. 7.05 = m
18. 3 ÷ 1 4 = 3 × = 12
19. Round 6.372 to 1 decimal place.
20. If you are cycling at 30 km/h, how far will you cycle
in 20 minutes?
km
28 mm
45 mm
sample
H
28 mm
Week 35
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 105

PROBLEM-SOLVING
FRIDAY REVIEW
Week 35
Monday
A B
3 4 5 2 C
8 2 3 9
7
1 10
2 9
6
5 4
8
1. Which spinner has the best chance of landing on
a 2?
1. 1 2 + 1 3 =
2. 4 5 × 1 2 =
3. 2.36 kg = g
4. 12.2, 12.4, 12.6, 12.8,
5. 4 10 = %
14. 25% of 160 =
15. 400 + 90,000 + 50 =
16. 89 × 8 =
17. Double this shape.
2. Write the chance, as a percentage, of each spinner
landing on a number greater than 5.
A = %
B = %
C = %
Tuesday
6th Class Happy Moments in School
1. What percentage voted for friendship?
%
2. What percentage voted
for music?
%
Wednesday
At a school camp, 40 boys played hide and seek in
a forest. When the game was over, 36 children had
been found.
1. What percentage was found? %
2. What fraction was not found?
Thursday
1. The 2 rectangles have the same area.
What is the length of Side a?
Music
No
Homework
Friendship
Longer
Lunch
cm
6. Reduce this line by 3:1.
mm
7. The 4 outcomes of a
two-coin toss are:
H H T T
H T
8. 1 2 < 0.4999
True
9. 6.4 ÷ 0.8 =
T
False
H
10. Parts of South America are
4 hours behind GMT. If it is
4.30 a.m. in London, what
time is it in South America?
11. A stack of 20c coins
= €9.80. How many coins?
12. The chance of rolling an
even number on a dice is
13.
0%. 50%.
100%.
18. 2 349 m = 2 349
= 2.
1,000
19. Show as a rotation of 450°
clockwise.
20. 9 2 =
21. Round 5.232 to 1
decimal point.
22. If you can cycle at a speed
of 24km/h, how far can
you cycle in 10 minutes?
km
23. A worker's pay is €7.00
per hour. What is earnt
for 3 hours at time and
a half?
€
24. 4 ÷ 1 3 =
Review sample
5 m
15 m
5 m
4 m
4 m
6 m
25. 2.3 – 0.7 =
14 cm
8 cm
7 cm
a
The shaded area is
2. The areas of the 2 rectangles are equal.
m 2 .
What is the width of Side b?
cm
20 cm
b 28 cm
7 cm
106 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1.
What is the time difference?
2. 2.3 – 0.8 =
3. 2.5 ÷ 0.5 =
4. 35, 75, 115,
5. 80 + 700 + 2,000 =
6. 904 m = 0. km
7. 4 5 × 1 2 =
8. The chance you will watch TV today.
hours
0% 50% 100%
9. A 3-D shape has ten 2-cm by 2-cm faces.
What is the shape's surface area? cm 2
10. Write in ascending order.
0.05 0.3 2%
, ,
11. Round 0.375 to 1 decimal place.
12. Write three capital letters that have more than
one line of symmetry.
, ,
13. A stack of 50c coins = €14.50. How many coins?
14. There are 0.6 euro to 1 Canadian dollar. How many euro
would you exchange for 3 Canadian dollars?
€
15. 36 =
10 MARCH 11 MARCH
00:45 00:45
16. Which would you use to measure the length of a pencil?
mm cm m km
17. Draw a net of a triangular prism.
1. 7.25, 7.19, 7.13, 7.07,
2. 2 1 2 , 2 3 4 , 3 1 4 , 4,
3. 4.1 + 0.9 =
4. 3.6 ÷ 0.4 =
5. 185 cm = m
6. Complete the formula: area of a rectangle = ×
7. 1 2 × 6 10 =
8. 100 × 0.05 =
9. What is the simplified ratio of teachers to pupils
if there are 30 teachers and 150 pupils?
10. 6 35 m = 6 35
1,000 = 6.
11. Round 0.831 to 1 decimal place.
12. Which would you use to measure the weight of an adult?
g kg t
13. Draw the lines of symmetry on the
equilateral triangle.
14. Write in descending order.
0.11 0.3 20%
15. 400,000 × 10 =
, ,
16. What is the perimeter of a regular pentagon with
6-cm sides?
cm
17. Write the numeral seven hundred and two thousand
and forty-five.
Review sample
18. Write from smallest to largest.
0.75 0.2 0.25 0.8
, , ,
Week 36
19. Simplify 20
30 .
18. 10 × = 8 × 5
19. The angles in a triangle add up to °.
20. What is the simplified ratio of boys to girls if there are
30 boys and 40 girls?
20. The painting was purchased for €150.
It was sold for a profit of 20%.
What was the selling price?
€
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 107

WEDNESDAY
THURSDAY
Week 36
1. 300 × e = 2,700, so e =
2. 9, 9 1 3 , 10, 11,
3. 2.1 ÷ 0.3 =
4. 1 4 × 8 10 =
10 MARCH 11 MARCH
5.
02:30 01:30
What is the time difference?
6. 8.3 + 0.7 =
7. 3 4 of an hour = minutes
8. A 3-D shape has ten 1-cm by 3-cm faces.
hours
What is the shape’s surface area? cm 2
9. 4.85 million + 1.15 million = million
10. There are 6 euro to 10 Australian dollars. How many
euro would you exchange for 5 Australian dollars?
€
11. 8.96 – 5.05 =
12. Circle the chance (as a decimal) of landing on 2.
0 0.25
13. Circle the chance (as a fraction) of landing on 1.
14. The area of the house is
1,200 m 2 . What is the area
of the garden?
m 2
0.50 0.75 1.0
0 1
1 1 3
4 2 4
60 m
20 m
15. The perimeter of the house is 140 m.
What is the perimeter of the garden?
30 m
16. Which would you use to measure the weight
of a ship? g kg t
17. What is the place value of the 5 in 48,250?
18. Will a parallelogram and an isosceles triangle
2
House
40 m
Garden
80 m
3
m
20 m
30 m
60 m
1. 3 1 5 , 3 2 5 , 3 4 5 , 4 2 5 ,
2.
3. Draw a dot at coordinate
(0,4) and label it ‘A’.
4. Draw a dot at coordinate
(2,5) and label it ‘B’.
5. 4.9 ÷ 0.7 =
6. Complete the formula: diameter = ×
7. 609 m = 0. km
8. 4 5 × 1 4 =
9. 9 2 m = 9 2
1,000 = 9.
10. There are 7 euro to 1,000 Japanese yen. How many euro
would you exchange for 4,000 yen?
€
11. 10,000 × 0.001 =
12. 5.293 + 2.406 =
13. 3 4 × 12
Coin
10 =
14. Simplify 3 16
15. – 2 + – 3 =
20 .
16. If you are cycling at 18 km/h, how far can you cycle in
10 minutes?
km
Number
of Coins
20c 14 €
Favourite 6th Class Colours
€ Value
50c €8.50
Review sample
Black
Blue
Red
Purple
White
17. 32 pupils were surveyed.
How many liked black?
18. What percentage of
the class liked black?
tessellate together?
%
19. If you are cycling at 32 km/h, how far will you travel
in quarter of an hour? km
19. What fraction of the class liked purple?
20. How many liked blue?
20. Simplify 15
50 .
108 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
FRIDAY REVIEW
Monday
48 mm
1. The time is 9.20 a.m. in
Ireland and 10.20 a.m. in
France. What is the time
difference?
16. The painting was bought
for €200. It was later sold
for a profit of 15%, or
€ .
Week 36
1. The length of the car is 4,800 mm.
What is the scale of the drawing?
1 mm = mm
2. A tennis racket costs €60. A club had 20 new
members. How much change from €1,500 would
there be if new rackets were purchased for the
new members?
€
Tuesday
0 0.25 0.50 0.75 1.0
1. Circle the chance of landing on 2.
2. Place a dot on the chance of landing on 5.
Wednesday
1. The surface area of this cube is
54 cm 2 . The volume is
cm 3 .
2. The surface area
of this cube is cm 2 .
The volume is cm 3 .
Thursday
1. Work out the missing angles.
a = ° b = ° c = °
2. Colour the congruent triangles
within the pentagon.
(Hint: congruent means having
exactly the same shape and size)
5
36°
108°
1
8 c m
c
108°
2
b
36°
36° 36°
a
2. Simplify 42
48 .
3. 5.6 ÷ 0.8 =
4. 1 4 × 1 5 =
5. A stack of 50c coins
= €18.50. How many coins?
6. A 3-D shape has ten 5-cm
by 1-cm faces. What is the
shape’s surface area?
cm 2
7. 2,070 mm = m
8.
The time difference is
9. + 4 – + 2 =
10. 5, 5 1 4 , 5 3 4 , 6 1 2 ,
hours.
11. 4 × = 2 × 6
12. 8.3 + 0.7 =
13. What is the perimeter of a
regular hexagon with
10-cm sides?
cm
14. 1,000 × 0.005 =
15. There are 0.6 euro to
1 Canadian dollar. How
many euro would you
exchange for 20 Canadian
dollars?
€
8 MARCH
04:30
9 MARCH
04:30
17. Complete the formula:
diameter = ×
18. Write in descending order.
0.32 15%, 2.1
, ,
19. 7 3 m = 7 3
1,000
= 7.
20. If you were cycling at
36 km/h, how far would
you travel in 10 minutes?
km
21. Which would you use to
measure the weight of an
apple?
22. 9 =
g kg t
23. What is the simplified ratio
of boys to girls if there are
80 girls and 40 boys?
Review sample
24. 3 4 × 3 9 =
25. Write the numeral 1.05
million.
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 109

MONDAY
TUESDAY
Week 37
1.
Enlarge this line by 3:1.
mm
2. Which would you use to measure the amount of orange
juice in a glass?
m
3. Write the numeral 2.05 million.
1. 2 3 > 1 2 True False
2. The chance of rolling an odd number on a dice is
0%. 50%. 100%.
3.
Reduce this line by 2:1. mm
4. 4.8 + 0.8 =
4. A 3-D shape has ten 2-cm by 2-cm faces.
What is the shape’s surface area?
cm 2
5. Name this shape.
6. 8
10 = 0.
7. 29 ÷ 0.5 =
8. 10 one hundred thousands, 10 ten thousands,
and 10 tens equals
.
9. There are 6 euro to 10 Australian dollars. How many euro
would you exchange for 50 Australian dollars?
€
10. Which would you use to measure the height of a house?
mm cm m km
11. 14.07 m = mm
12. Complete the formula: diameter = ×
13. Which digit in 103.465 is in the hundredths place?
14. Write 3 1 3 as an improper fraction.
15. 4
10 of an hour = minutes
16. What is the average of the test scores 80, 35 and 35?
17. 6.5 ÷ 0.5 =
5. 5 , 50 , 500 , 5,000 ,
6.
7. Plot the coordinates
(3,5), (5,2) and (1,2).
Join them in order.
What shape have you drawn?
8. 1 2 × 8 10 =
9. A 3-D shape has ten 1-cm by 3-cm faces.
What is the shape’s surface area?
10. 6 + 1,000 + 60,000 =
cm 2
11. Write 19 3 as a mixed number.
12. 19.356 kg = g
13. Write the numeral 5.01 million.
14. 3 5 of an hour = minutes
15. 2 10 = 0.
16. What is the perimeter
of this pentagon?
mm
Draw to show a
rotation of 270° clockwise.
17. The circumference of a circle is approximately
2 3 4 times longer than the diameter.
1
0 1 2 3 4 5
Review sample
F
9 mm
5
4
3
2
18. 1 2 × 4 10 =
19. A triangular prism has
faces. edges. vertices.
18. At 28 km/h, what is the distance travelled in 15 minutes?
km
19. Circle –6 on the number line.
20. This is a net of a
.
20. (4 × 5) – 8 =
110 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 12,051 m =
2. 3.6 ÷ 0.3 =
3. 4 1 10 , 4 3 10 , 4 7 10 , 5 3 10 ,
4. 90 + 70,000 + 4,000 =
5. There are 7 euro to 1,000 Japanese yen. How many euro
would you exchange for 5,000 Japanese yen?
1. Write the numeral 4.01 million.
2. 4.8 ÷ 1.2 =
3. 8 10 × 1 4 =
4. There are 0.6 euro to 1 Canadian dollar. How many euro
would you exchange for 10 Canadian dollars?
€
Week 37
€
5. 4 9 × 3 8 =
6. 4 5 > 0.79 True False
7. Complete the formula:
area of a square = ×
8. How many edges has a pentagonal pyramid?
9. 3 4 × 2 3 =
10. When this net is assembled, the cube will have a surface
area of cm 2 .
11. How many more millilitres are needed
to fill the jug?
12. y = °
13. 4 5 × 1 2 =
14. The time is 2.15 p.m. in Ireland and 3.15 p.m. in Spain.
What is the time difference?
15. 1% = 0.
16. Tick the largest.
2
17. 1.3 + 0.7 =
18. 1 3 = %
19. What is the floor area of a room 8 m by 6 m?
m 2
1
2
4 cm
20. Plot the coordinates
(1,3), (4,3), (4,1) and (1,1).
What shape have you drawn?
4 cm
m
75º y
1
4
1
2
6
6. 49 =
7. How many degrees has a triangle? °
8. Can an oval and a circle tessellate?
9. 5 3 = 5 × 5 × 5 =
10. The next 3 multiples of 8, from 64, are
, and .
11. 11, 15, 20, 26, , 41
12. Area = m 2
13. Perimeter = m
14. 3.25 = %
15. 12 – 0.7 =
16. 4.1, 8.2, 16.4,
17. Write the composite numbers from 11 to 20.
, , , , and
18. Tick the heaviest.
4 × 7,000 g
3 × 9,000 g
6 × 4,000 g
Review sample
5
4
3
2
19. 2.09 + 0.01 =
20. What is the average of the following numbers?
3, 5, 4, 7, 9, 4 and 3
4 m
5 m
9 m
3 m
4 m
1 m
0 1 2 3 4 5
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 111

PROBLEM-SOLVING
FRIDAY REVIEW
Week 37
Monday
A B C
3
8
4
2
5
2
3 9
7
10
9
8
7
6
1
2
3
4
5
1. Which spinner has the best chance of landing on a 3?
2. Write the chance, as a percentage, of each spinner
landing on a number less than 5.
1.
2.
A = %
B = %
C = %
12 MARCH
5.00 P.M.
Tuesday
Wednesday
1. The volume of this storage box
is 60 m 3 . The height is
m.
2. The volume of this storage
box is 120 m 3 . The height is
m.
36 HOURS
LATER
1
2 2 DAYS
EARLIER
2 JUNE
9.30 P.M.
4 m
3 m 4 m
6 m
1. Double 4.07.
2. Which would you use to
measure the amount of tea
in a mug?
m
3. 2.4 ÷ 0.5 =
4.
How many more millilitres
are needed to fill this jug?
m
5. 90,000 + 3 + 600 =
6. What is the simplified ratio
of teachers to pupils if there
are 10 teachers and 320
pupils?
7. 0, 1, 1, 2, 3, 5, 8,
8. Which would you use to
measure the length of a
book?
mm
m
cm
km
9. 20 one hundred thousands
and 20 ten thousands
=
2
10. Which digit is the tenth
in 63.045?
14. The next 3 multiples of 7,
from 49, are
15. 4 10 × 1 2 =
, and .
16. There are 6 euro to
10 Australian dollars.
How many euro would you
exchange for 20 Australian
dollars?
€
17. Tick the longest.
0.3 m
1,200 mm
40 cm
18. Which would you use to
measure the weight of
a leaf?
g kg t
19. Write 21 6 as a mixed number.
20. Write the numeral
7.05 million.
21. Tick the largest.
5
10
House
for sale
22. The sign has
sides.
Review sample
6
9
2
6
23. What is the average of the
following shoe sizes?
12, 8, 9 and 11
Thursday
1. What percentage is shaded blue? %
2. What percentage is
shaded orange? % unshaded? %
11. 3 2 10 = %
12. Draw a 90º rotation
clockwise.
13. Enlarge line by 5:1.
mm
7 m
8 m
5 m
5 m
12 m
24. Area = m 2
25. Perimeter = m
112 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 3 ÷ 0.3 =
2. 6 × 8 =
3. 60 mm = 0. m
4. Which would you use to measure the amount
of yogurt in a small pot?
m
5. What is the place value of the 3 in 2.3 million?
6. 1 2 × 2 10 =
7. How many vertices has a cube?
8. 4.05 + 0.85 =
9. (500 ÷ 25) ÷ 4 =
10. 2.7 + 0.9 =
11. There are 7 euro to 1,000 Japanese yen. How many euro
would you exchange for 2,000 Japanese yen?
€
12. Which would you use to measure the coastline of Ireland?
mm cm m km
13. 900 , 2,700 , 8,100 ,
14. The painting was bought for €200.
It was later sold for a profit of
15%. What was the selling price?
€
15. 750 m = 3 4 =
0.
16. Tick which you would use to measure the weight of a car.
g kg t
17. Name this 3-D shape.
Painting
Request
A Vertical pic
to go with this
green page.
1. 90 × 8 = 720, 89 × 8 =
2. Calculate the shaded area.
m 2
3. 2.09 + 0.77 =
4. 4.89 km = m
5. 15% + 2 5 + 0.05 = %
6. 8.2 + 0.8 =
7. 1 3 × 3 4 =
8. 650,000 + = 1,000,000
9. What is the place value of the 9 in 3.09 million?
10. 1.8 ÷ 0.6 =
11. Complete the formula:
area of a rectangle =
12. 63 is a multiple of 9. True False
13. 2 ÷ 1 4 =
14. , 0.99, 0.98, 0.97
15. Decrease €400 by 80%.
16. 1 2 × 1 4 =
Average Toothbrushing Times for 7- to 11-Year-Olds
17. At which age did
boys spend less
time brushing?
Review sample
18. At which age
did girls start
brushing less?
Brushing Time (seconds)
135
120
105
90
75
60
45
30
15
4 m
4 m
9 m
2 m
2 m
6 m
Week 38
18. 50 × a = 300, so a =
19. 95% of €100.00 = €
20. What is the lowest common denominator of 3 4 and 2 10 ?
19. At which age did boys
start brushing the longest?
20. At which age did girls start brushing the longest?
7
8 9 10 11
Age
Boys
Girls
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 113

WEDNESDAY
THURSDAY
Week 38
1. How many thousands in one million?
2. Which would you use to measure the amount of water
in a watering can?
m
3. 4.5 ÷ 0.9 =
4. 6.04 + 0.79 =
5. What is the place value of the 2 in 2.45 million?
6. 102 – 42 =
7. 6
10 × 1 2 =
8. There are 0.6 euro to 1 Canadian dollar. How many euro
would you exchange for 5 Canadian dollars?
€
9. Which spinner has a 50% chance
of landing on 4?
10. Which spinner has a 0.25 chance
of landing on 2?
11. Which would you use to measure the length
of a pencil case?
mm cm m km
12. 2.02 km = m
13. Write the missing angle.
°
14. 100 × 1.05 =
15. Colour to –3 °C on the thermometer.
16. The diameter of a circle is 3 cm.
Therefore, the circumference is
approximately
cm.
17. If a whiteboard is 5 m long and
1.2 m wide, what is its area?
?
60°
60°
4
A
2
B
2
4
+5°
+4°
+3°
+2°
+1°
0°
–1°
–2°
–3°
–4°
–5°
1. 1 2 × 4 5 =
2. How many hundreds in one million?
3. Area = m 2
4. Perimeter = m
5. 1
100 > 1 5 True False
6. 8, 8 1 3 , 9, 10, 11 1 3 ,
7. 5 20 m = 5
20
1,000 = 5.
8. What is the place value of the 8 in 3.78 million?
9. y = °
10. (700 ÷ 25) ÷ 4 =
11. Complete the formula: diameter =
12. Tick which you would use to measure the weight
of a pencil.
g kg t
13. A pentagon's angles add up to
°.
14. How many vertices has
a pentagonal prism?
15. Draw a dot on coordinates (3,5), (5,5), (5,3) and (3,3).
Join them in order.
16. 2 3 of 12 =
17. 64 =
18. How many faces has a cube?
y 35°
What shape have you
drawn?
Review sample
13 m
6 m
5 m
6 m
3 m
3 m
4 m 4 m
m 2
18. What is the whiteboard’s perimeter?
m
19. The LCD of 1 8 and 1 10 is .
20. 6.4 ÷ 0.8 =
19. 6 + 4 × 5 =
20. 4 km + 300 m = m
114 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
7
FRIDAY REVIEW
Monday
1. €50.00 was divided between Adam and Aisling in
the ratio 7:3. How much did each child get?
Adam: € Aisling: €
2. The ratio of boys to girls in a school is 4:5. If there
are 200 boys, how many
(a) girls are in the school?
(b) pupils attend the school altogether?
Tuesday
A B C
3
9
4
4
1
10
3
5
2
9
7
1. Which spinner has the
best chance of landing on a 7?
10
9
1
8
7
6 5
2
3
4
2. Write the chance, as a percentage, of each spinner
landing on an odd number.
A = %
B = %
C = %
Wednesday
1. This new car park allocated 250 m 2
for 10 cars. How many cars can be
parked in this car park?
2. The cost to pave the car park is
€250,000 per hectare. How much
will it cost to pave the car park?
€
Thursday
1. 100,000 20,000 ×
10,000 ×
5,000 ×
2,500 ×
200 m
1. (900 ÷ 25) ÷ 4 =
2. 80 mm = cm
3. 70 × 6 = 420
69 × 6 =
4. 3, 8, 13, 18,
5. 2.7 ÷ 0.3 =
6. 4.06 + 0.67 =
7. What is the value of the 4 in
2.46 million?
8.
What is the length of
this sign?
mm
9. There are 6 euro to
10 Australian dollars.
How many euro would
you exchange for 30
Australian dollars?
€
10. Write 5 3 6 as an improper
fraction.
11. Which would you use to
measure the capacity of a
tablespoon?
12.
m
2,400 mm
Painting Request
A Horizontal pic please.
This painting was bought
for €200 and later sold
for a 60% profit.
What was the profit?
14. y = °
15. The LCD of 1 5 and 1 4
is .
16. What is the perimeter
of this regular pentagon?
17. 3 4 × 1 3 =
18. Name this shape.
mm
19. Complete the formula:
area of a rectangle
=
20. 390,000 +
= 1,000,000
21. A tank holds 1,000 . If
it is 85% full, how many
litres is it holding?
22. If a whiteboard is 1.5 m
long and 2 m wide, what
is its area?
m 2
23. Each angle in a square has
Review sample
100 m
40 mm
°.
24. How many hundreds in
one million?
25. Draw a dot on the
coordinates (0,3), (3,5)
and (4,1). What 2-D shape
have you drawn?
5
60º y
Week 38
2. 100 1,000 ÷
10,000 ÷
100,000 ÷
1,000,000 ÷
€
13. 6.1 + 0.9 =
4
3
2
1
0 1 2 3 4 5
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 115

MONDAY
TUESDAY
Week 39
1. 5.5 ÷ 1.1 =
2. 1.01 > 1.11 True False
3. Enlarge this line by 3:1. mm
4. Round 12.567 to two decimal places.
5. A hexagon's angles
add up to °.
1. 2.009 < 2.07 True False
2. 1, 4, 9, 16, 25,
3. Kate scored 7 10 in a spelling test. Write this as a percentage.
%
4. A stack of 2.5-kg bags of salt weighed 200 kg.
How many bags of salt were there?
6. 1 2 + 1 4 =
7. 750 g = 3 4 kg = 0. kg
8. 407 m = 0. km
9. 5 2 =
10. 42,500 m = km
11. Write 17 7 as a mixed number.
12. 4% = 0.
13. Which would you use to measure the amount of cough
syrup in a bottle?
m
14. There are 7 euro to 1,000 Japanese yen. How many euro
would you exchange for 3,000 Japanese yen?
€
15. Parts of the USA are 6 hours behind GMT. If it is 2.15 p.m.
in London, what time is it in the USA?
16. At 36 km/h, how far can you travel in 1 1 2 hours?
km
17. Which would you use to measure the length of the
playground?
mm cm m km
18. If you normally earn €10.00 per hour and do 5 hours
overtime at time and a half, how much should you earn?
€
19. 650, 500, 350,
20. Round 25.4378 to three decimal places.
5. 29,000 mm = m
6. Reduce the line by 6:1.
7. 0.4 × 0.3 =
8. 8 10 – 5 10 =
mm
9. (3 × 4) + 2 =
10. y =
11. What type of triangle?
12. 245 m = 245
1,000
13. – 6 + – 2 =
14. 0.3 × 0.9 =
15. 4 5 + 5% + 0.1
16. At 100 km/h, how
km
17. Write in ascending
337
,
18. A stack of 20c
How many coins
19. Perimeter =
20. Area =
= 0.
far can
order.
coins has
the
cm 2 y
minutes?
300
1
°
km km
= %
you travel in 30
996
,
a value of €12.80.
in stack?
cm
6 c m
7 c m
60° 60°
Review sample
5 c m
2 c m
3 c m
3 c m
3 c m
5 c m
116 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

WEDNESDAY
THURSDAY
1. 4 10 + 6 10 =
2. 3.9 ÷ 1.3 =
3. Circle the largest.
50% of 30 75% of 24 40% of 25
1. Halve 1 2 .
2. Write the missing angle.
°
3. 80 × 8 = 640,
60º
?
120º
60º
Week 39
4. 1.65 m = cm
5. 75% = 3 4 = 0.
6. 6.007 > 6.069 True False
7. ÷ 5 = 30
8. What is the size of Angle a? °
9. If 2 kilograms of apples cost €5.00, how much would
8 kilograms cost?
€
10. 7.95 – 2.04 =
11. Reduce the line by 4:1. mm
12. 4 + – 8 =
13. Jane scored 84% in a flute exam. Write this as a decimal.
14. A triangular prism = faces
15. 9 18 = 27
16. Tick the 3-D shape that has 6 faces, 12 edges
and 8 vertices.
A
17. Tick which you would use to measure the distance from
Cork to Dublin.
mm cm m km
18. 70% = 0.07 True False
19. 11 2 – 5 2 =
20. 1 2 = % = 0.
B
a 45 º
C
79 × 8 =
78 × 8 =
4. How many tenths in 1?
5. x
Enlarge the line x y by 2:1 =
mm
6. There are 0.6 euro to 1 Canadian dollar. How many euro
would you exchange for 3 Canadian dollars?
€
7. Which would you use to measure the weight of
a banana?
8. 12 2 =
g kg t
9. 1.4 × 0.4 =
10. 10 – (18 ÷ 2) =
11. What is the volume of this fish tank?
m 3
12. 2 m 15 cm = 2 15
100 m = 2. m
13. Write 155
1,000 as a decimal.
14. 75% = 0.
Review sample
15. 3.004 < 3.330 True False
16. 3.3, 6.6, 9.9 Rule =
17. Write in descending order.
y
0.5 m
0.5 m
8
2 11 1 1 2
, ,
3 m
18. Which is better value for money?
500 g coffee for €2.50
1 kg coffee for €4.50
19. a + 1 = 1,000,000, so a =
20. 2.8 ÷ 1.4 =
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 117

PROBLEM-SOLVING
FRIDAY REVIEW
Week 39
Monday
1. 250 people went to a hurling match. 1 5 of these
were children. Adults paid €10, while children paid
half that price. How much did this group pay?
€
2. On a map, an 8-mm line represents a distance of
1.5 m. How long will the line on the map be if it
is to represent 9 m?
mm
Tuesday
1. Colour 0.6 × 0.6. The total
coloured portion is
.
2. Colour 0.8 × 0.4. The total
coloured portion is
Wednesday
1. The sum of two numbers is 20. The difference
between the two numbers is 4. The numbers are
and .
2. The product of two numbers is 54. The difference
between the two numbers is 3. The numbers are
and .
.
1. 7.7 ÷ 1.1 =
2. 7 2 =
3. How many faces has an
octagonal prism?
4. Round 16.5087 to three
decimal places.
5. Which has more faces:
a triangular prism or a
tetrahedron?
6. Which would you use to
measure the amount of
coffee in a mug?
m
7. A stack of 25-kg bags of
flour weighed 500 kg. How
many bags were there?
8. 5 1 4 km = m
9. A stack of 20c = €23.60.
How many coins are in
the stack?
10. 250 g = 1 4 kg =
0. kg
11. 9 10 = %
12. 1 3 + 2 6 =
13. 5.5 > 5.097
True
False
14. Sally scored 8 10 in a maths
test. Write this as a
percentage.
%
15. The sum of angles in
a hexagon =
°
16. 0.5 × 0.3 =
17.
Angle a = °
18. 8 9 – 3 9 =
19. The volume of the fish tank
is m 3 .
3.5 m
20. Circle the larger.
75% of 32 25% of 100
21. Which 3-D shape has
5 faces, 9 edges and
6 vertices?
22. If you are cycling at
32 km/h, how far can
you travel in 15 minutes?
km
23. Write 15 4 as a mixed number.
24. How many tenths in 1?
25. Angle a = °
a
B
a 50 º
Review sample
Thursday
1. Two parts of this square are missing.
What fraction of the perimeter is missing?
2. Double the shape above. What fraction of the
perimeter is missing?
A
4 m
90° 45°
2 m
C
118 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MONDAY
TUESDAY
1. 1.6 ÷ 0.2 =
2. (300 ÷ 25) ÷ 1 =
3. 4
10 × 1 2 =
4.
What is the diameter of each circle?
5. 5 km + 400 m = km
6. A car costs €10,000 plus 20% VAT.
What is the total price? €
7. Parts of Africa are 2 hours behind GMT. If it is
8.30 a.m. in London, what time is it in Africa?
8. (8 3) 6 = 30
9. A stack of 20-kg rice bags weighed 1,500 kg.
How many bags of rice were there?
10. 7 + – 4 =
11. Which is a 7-sided polygon: a heptagon or a hexagon?
12. 0.8 × 0.3 =
13. 5 m 40 cm = 5 40
100 m = 5. m
14. Simplify the ratio. 3:15 = 1:
15. How many tenths in 2?
16. 6 2 =
6 m
17. Draw the axes of symmetry
on the hexagon.
18. 3, 10, 17, 24,
3 m
19. Is 24 a multiple of 2 and 3?
20. To fill this jug, it needs m more.
m
1. A shape has six 2-cm by 4-cm faces.
What is the shape’s surface area? cm 2
2. Write the numeral 6.5 million.
3. 8.2 + 0.8 =
4. What is the surface area
of this cuboid?
cm 2
5. 1 3 of an hour is minutes.
6. There are 6 euro to 10 Australian dollars. How many euro
would you exchange for 5 Australian dollars?
€
7. A car is travelling at 50 km/h. How far does it travel
in 2 1 2 hours?
km
8. What will I pay for a €60 coat if there is a
33 1 3 % reduction? €
9. 2 , 20 , 200 , , 20,000
10. 80 + 700 + 8,000 =
11. – 4 + + 7 =
12. Round 18.0765 to three decimal places.
13. 1 m + 45 cm = m
14. Rotate 270º clockwise.
Review sample
15. At 60 km/h, how long will it take to travel 1 km?
minute(s)
16. (400 ÷ 25) ÷ 4 =
17. The place value of the 8 in 48,250 is .
4 c m
3 c m
9 c m
3 c m
Week 40
3
2
1
itres
18. 5a + 10 = 20, so a =
19. 8.5 + 1.5 =
20. 600 m = 6 10 = 0.
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 119

WEDNESDAY
THURSDAY
Week 40
1. Write the numeral 3.025 million.
2. There are 7 euro to 1,000 Japanese yen. How many euro
would you exchange for 4,000 Japanese yen?
€
3. The angles in a triangle are 75º and 80º.
What is the 3rd angle? º
4. A stack of 25-kg bags of flour weighed in at
2,000 kg. How many bags of flour were there?
5. The total cost of 3 pens is 48c. What is the average
cost of one pen?
6. Draw a net of a tetrahedron.
7. A circle is divided into quarters.
How many degrees has
each quarter?
°
8. 50 , 500 , , 50,000
9. 8.7 + 1.3 =
10. Tick the larger.
20% of 100 50% of 50
c
11. School starts at 8.50 a.m. and finishes at 2.35 p.m. How
many hours and minutes is the school day?
hours
12. 1.7 × 0.3 =
minutes
13. 8 km + 700 m = km
14. If you cycled your bike for 15 minutes and travelled 7 km,
what speed were you travelling?
km/h
15. 0.01 < 0.1 True False
16. 2,000 + 90 + 500 =
17. 4 2
10 = (decimal)
18. What is the shaded area?
19. Simplify 15
18 .
m 2
8 m
2.5 m
4 m
4 m
1. Which letter is the opposite face of
2. + 7 – – 5 =
3. Double 5.5 =
4. 7.2 ÷ 0.9 =
5. 1 2 × 2 10 =
A
6. 4 kg 55 g = 4 55
1,000 kg = 4. kg
7. 2 5 =
8. 7.3 + 1.7 =
9. The time is 9.30 a.m. in Ireland and 2.30 p.m. in India on
the same day. What is the time difference?
10. 1,000 × 0.005 =
11. Draw a dot on the coordinates (2,4), (3,4), (4,3), (4,2),
(3,1), (2,1), (1,2) and (1,3). Join them in order.
?
What shape have
you drawn?
12. Which digit in the decimal 5.067 is in the hundredths
place?
13. Volume =
m 3
14. There are 2 fish for
every 2 m 3 of water.
How many fish in the
tank?
15. 8, 16, 32, 64,
16. 0.5 < 1 True False
17. 20 + 900 + 3,000 =
18. Simplify 15
20 .
19. 87 1 2 % = 7 8 = 0.
2 m
A
20. Convert the speed of travelling 12 km in
6 minutes to km/h.
B
C
D
E
2 m 4 m
Review sample
C
B
F
A
20. 5y = 300, so y =
km/h
120 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

PROBLEM-SOLVING
D
D
D
FRIDAY REVIEW
Monday
1. Colour 1,800 m in 3 equal
colours.
2. Row A has 15 seats. Each row has 10 more
than the previous row. What is the total seating
capacity?
Tuesday
1. Which letter is opposite C?
B
3
2
1
A
C
2. Which letter is opposite A?
Wednesday
A landscape architect created a garden plan.
1. What percentage of the garden will be paved?
%
D
E
POOL
PAVING
GRASS
25 m 2
2. What will be the perimeter of the pool?
m
F
B
A
C D A
BE
CF
D
E
A
Thursday
1. What fraction of the garden will be grass?
C
A
STAGE
A B C D
D
F
A
C
A
F
D
F
A
C
A
D
F
1. Parts of the USA are 6 hours
behind GMT. If it is 2.30 p.m.
in London, what time is it in
the USA?
2. 24 ÷ 0.2 =
3. 6 10 × 1 2 =
4. A car costs €20,000
plus 20% VAT. What is
the total price?
€
5. How many degrees has a
triangle?
°
6. 3 6 10 = (decimal)
7.
8.
Rotate 450° clockwise.
What is the radius of one
of the circles?
9. 3.05 > 3 1 10
True
m
False
10. Which would you use to
measure the length of a bus?
mm
m
11. 0.8 × 0.4 =
12. – 7 – + 2 =
18 m
13. Simplify the ratio.
cm
km
28:7 = :1
9 m
14.
The difference in area
between the two shapes is
m 2 .
15. A shape has six 2-cm by
2-cm faces. What is the
shape’s surface area?
cm 2
16. What will I pay for a €90.00
coat if there is a 60%
discount?
€
17. 1, 2, 4, 7, 11,
18. 20,000 +
= 200,000
19. 1 m + 50 cm =
cm
20. (500 ÷ 25) ÷ 5 =
21. 11 2 =
7 m
22. – 6 + + 12 =
18 m
10 m
23. Write the numeral
3.9 million.
24. The angles in a triangle are
65º and 90º. What is the
3rd angle?
Review sample
25. Which letter is opposite A?
X
Y
°
Z
A B
Z
A
C
9 m
B
Week 40
2. What will be the total area not paved?
m 2
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 121

MATHS FACTS
2 , 3 5 9 , 7 4 1
2 , 0 0 0 , 0 0 0
3 0 0 , 0 0 0
5 0 , 0 0 0
9 , 0 0 0
7 0 0
4 0
1
millions
hundred
thousands
Strand: Number
Place Value
ten
thousands
thousands hundreds tens units
2 3 5 9 7 4 1
units • tenths hundredths thousandths
0 • 2 5 8
Prime Numbers
A prime number is a number that can be divided
evenly by only 1 and itself.
For example:
2, 3, 5, 7, 11, 13, 17 and 19
Factors
A factor of a number is a number that will divide
evenly into that number.
For example:
The factors of 12 are 1, 2, 3, 4, 6 and 12.
Square and Rectangular Numbers
A square number is a number that
can form the shape of a square.
For example: 4, 9, 16, 25, …
A rectangular number is a
number that can form the shape
of a rectangle.
For example: 6, 8, 10, 12, …
Composite Numbers
0 . 2 5 8
0 . 2
0 . 0 5
0 . 0 0 8
A composite number is a number that can be divided by
more than 1 and itself; i.e. it has more than 2 divisors.
For example:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18 and 20
Multiples
A multiple of a number is that number multiplied by
other whole numbers.
For example:
The multiples of 5 are 5, 10, 15, 20, 25, 30, …
Review sample
9
6
Improper Fractions
11
4 , 9 5 , 7 2 , 4 3
The numerator (top number) is greater than the
denominator (bottom number).
Mixed Numbers
2 3 4 , 1 4 5 , 3 1 2 , 1 1 3
A whole number and a fraction.
122 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MATHS FACTS
2×
table ÷ 2 quotient 2
1 × 2 = 2 2 × 1 = 2 2 ÷ 2 = 1 2 ÷ 1 = 2
2 × 2 = 4 4 ÷ 2 = 2
3 × 2 = 6 2 × 3 = 6 6 ÷ 2 = 3 6 ÷ 3 = 2
4 × 2 = 8 2 × 4 = 8 8 ÷ 2 = 4 8 ÷ 4 = 2
5 × 2 = 10 2 × 5 = 10 10 ÷ 2 = 5 10 ÷ 5 = 2
6 × 2 = 12 2 × 6 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
7 × 2 = 14 2 × 7 = 14 14 ÷ 2 = 7 14 ÷ 7 = 2
8 × 2 = 16 2 × 8 = 16 16 ÷ 2 = 8 16 ÷ 8 = 2
9 × 2 = 18 2 × 9 = 18 18 ÷ 2 = 9 18 ÷ 9 = 2
10 × 2 = 20 2 × 10 = 20 20 ÷ 2 = 10 20 ÷ 10 = 2
4×
table ÷ 4 quotient 4
1 × 4 = 4 4 × 1 = 4 4 ÷ 4 = 1 4 ÷ 1 = 4
2 × 4 = 8 4 × 2 = 8 8 ÷ 4 = 2 8 ÷ 2 = 4
3 × 4 = 12 4 × 3 = 12 12 ÷ 4 = 3 12 ÷ 3 = 4
4 × 4 = 16 16 ÷ 4 = 4
5 × 4 = 20 4 × 5 = 20 20 ÷ 4 = 5 20 ÷ 5 = 4
6 × 4 = 24 4 × 6 = 24 24 ÷ 4 = 6 24 ÷ 6 = 4
7 × 4 = 28 4 × 7 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4
8 × 4 = 32 4 × 8 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4
9 × 4 = 36 4 × 9 = 36 36 ÷ 4 = 9 36 ÷ 9 = 4
10 × 4 = 40 4 × 10 = 40 40 ÷ 4 = 10 40 ÷ 10 = 4
6×
table ÷ 6 quotient 6
1 × 6 = 6 6 × 1 = 6 6 ÷ 6 = 1 6 ÷ 1 = 6
2 × 6 = 12 6 × 2 = 12 12 ÷ 6 = 2 12 ÷ 2 = 6
3 × 6 = 18 6 × 3 = 18 18 ÷ 6 = 3 18 ÷ 3 = 6
4 × 6 = 24 6 × 4 = 24 24 ÷ 6 = 4 24 ÷ 4 = 6
5 × 6 = 30 6 × 5 = 30 30 ÷ 6 = 5 30 ÷ 5 = 6
6 × 6 = 36 36 ÷ 6 = 6
7 × 6 = 42 6 × 7 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6
8 × 6 = 48 6 × 8 = 48 48 ÷ 6 = 8 48 ÷ 8 = 6
9 × 6 = 54 6 × 9 = 54 54 ÷ 6 = 9 54 ÷ 9 = 6
10 × 6 = 60 6 × 10 = 60 60 ÷ 6 = 10 60 ÷ 10 = 6
8×
table ÷ 8 quotient 8
1 × 8 = 8 8 × 1 = 8 8 ÷ 8 = 1 8 ÷ 1 = 8
2 × 8 = 16 8 × 2 = 16 16 ÷ 8 = 2 16 ÷ 2 = 8
3 × 8 = 24 8 × 3 = 24 24 ÷ 8 = 3 24 ÷ 3 = 8
4 × 8 = 32 8 × 4 = 32 32 ÷ 8 = 4 32 ÷ 4 = 8
5 × 8 = 40 8 × 5 = 40 40 ÷ 8 = 5 40 ÷ 5 = 8
6 × 8 = 48 8 × 6 = 48 48 ÷ 8 = 6 48 ÷ 6 = 8
7 × 8 = 56 8 × 7 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8
8 × 8 = 64 64 ÷ 8 = 8
9 × 8 = 72 8 × 9 = 72 72 ÷ 8 = 9 72 ÷ 9 = 8
10 × 8 = 80 8 × 10 = 80 80 ÷ 8 = 10 80 ÷ 10 = 8
Strand: Number
Multiplication and Division Facts
3×
table ÷ 3 quotient 3
1 × 3 = 3 3 × 1 = 3 3 ÷ 3 = 1 3 ÷ 1 = 3
2 × 3 = 6 3 × 2 = 6 6 ÷ 3 = 2 6 ÷ 2 = 3
3 × 3 = 9 9 ÷ 3 = 3
4 × 3 = 12 3 × 4 = 12 12 ÷ 3 = 4 12 ÷ 4 = 3
5 × 3 = 15 3 × 5 = 15 15 ÷ 3 = 5 15 ÷ 5 = 3
6 × 3 = 18 3 × 6 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
7 × 3 = 21 3 × 7 = 21 21 ÷ 3 = 7 21 ÷ 7 = 3
8 × 3 = 24 3 × 8 = 24 24 ÷ 3 = 8 24 ÷ 8 = 3
9 × 3 = 27 3 × 9 = 27 27 ÷ 3 = 9 27 ÷ 9 = 3
10 × 3 = 30 3 × 10 = 30 30 ÷ 3 = 10 30 ÷ 10 = 3
5×
table ÷ 5 quotient 5
1 × 5 = 5 5 × 1 = 5 5 ÷ 5 = 1 5 ÷ 1 = 5
2 × 5 = 10 5 × 2 = 10 10 ÷ 5 = 2 10 ÷ 2 = 5
3 × 5 = 15 5 × 3 = 15 15 ÷ 5 = 3 15 ÷ 3 = 5
4 × 5 = 20 5 × 4 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
5 × 5 = 25 25 ÷ 5 = 5
6 × 5 = 30 5 × 6 = 30 30 ÷ 5 = 6 30 ÷ 6 = 5
7 × 5 = 35 5 × 7 = 35 35 ÷ 5 = 7 35 ÷ 7 = 5
8 × 5 = 40 5 × 8 = 40 40 ÷ 5 = 8 40 ÷ 8 = 5
9 × 5 = 45 5 × 9 = 45 45 ÷ 5 = 9 45 ÷ 9 = 5
10 × 5 = 50 5 × 10 = 50 50 ÷ 5 = 10 50 ÷ 10 = 5
7×
table ÷ 7 quotient 7
1 × 7 = 7 7 × 1 = 7 7 ÷ 7 = 1 7 ÷ 1 = 7
2 × 7 = 14 7 × 2 = 14 14 ÷ 7 = 2 14 ÷ 2 = 7
3 × 7 = 21 7 × 3 = 21 21 ÷ 7 = 3 21 ÷ 3 = 7
4 × 7 = 28 7 × 4 = 28 28 ÷ 7 = 4 28 ÷ 4 = 7
5 × 7 = 35 7 × 5 = 35 35 ÷ 7 = 5 35 ÷ 5 = 7
6 × 7 = 42 7 × 6 = 42 42 ÷ 7 = 6 42 ÷ 6 = 7
7 × 7 = 49 49 ÷ 7 = 7
8 × 7 = 56 7 × 8 = 56 56 ÷ 7 = 8 56 ÷ 8 = 7
9 × 7 = 63 7 × 9 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7
10 × 7 = 70 7 × 10 = 70 70 ÷ 7 = 10 70 ÷ 10 = 7
Review sample
9×
table ÷ 9 quotient 9
1 × 9 = 9 9 × 1 = 9 9 ÷ 9 = 1 9 ÷ 1 = 9
2 × 9 = 18 9 × 2 = 18 18 ÷ 9 = 2 18 ÷ 2 = 9
3 × 9 = 27 9 × 3 = 27 27 ÷ 9 = 3 27 ÷ 3 = 9
4 × 9 = 36 9 × 4 = 36 36 ÷ 9 = 4 36 ÷ 4 = 9
5 × 9 = 45 9 × 5 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9
6 × 9 = 54 9 × 6 = 54 54 ÷ 9 = 6 54 ÷ 6 = 9
7 × 9 = 63 9 × 7 = 63 63 ÷ 9 = 7 63 ÷ 7 = 9
8 × 9 = 72 9 × 8 = 72 72 ÷ 9 = 8 72 ÷ 8 = 9
9 × 9 = 81 81 ÷ 9 = 9
10 × 9 = 90 9 × 10 = 90 90 ÷ 9 = 10 90 ÷ 10 = 9
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 123

MATHS FACTS
10×
Multiplication and Division Facts
Strand: Number
table ÷ 10 quotient 10
1 × 10 = 10 10 × 1 = 10 10 ÷ 10 = 1 10 ÷ 1 = 10
2 × 10 = 20 10 × 2 = 20 20 ÷ 10 = 2 20 ÷ 2 = 10
3 × 10 = 30 10 × 3 = 30 30 ÷ 10 = 3 30 ÷ 3 = 10
4 × 10 = 40 10 × 4 = 40 40 ÷ 10 = 4 40 ÷ 4 = 10
5 × 10 = 50 10 × 5 = 50 50 ÷ 10 = 5 50 ÷ 5 = 10
6 × 10 = 60 10 × 6 = 60 60 ÷ 10 = 6 60 ÷ 6 = 10
7 × 10 = 70 10 × 7 = 70 70 ÷ 10 = 7 70 ÷ 7 = 10
8 × 10 = 80 10 × 8 = 80 80 ÷ 10 = 8 80 ÷ 8 = 10
9 × 10 = 90 10 × 9 = 90 90 ÷ 10 = 9 90 ÷ 9 = 10
10 × 10 = 100 100 ÷ 10 = 10
1
9
1
12
1
10
1
8
1
6
1
5
1
4
1
12
1
10
1
3
1
9
1
8
1
12
Fractions
= 3 4 shaded 0
1
2
1
6
1
10
1
9
1
12
1
5
1
8
1
10
1
4
Equivalent Fractions
1
9
1
12
1
6
1
8
one whole 1
1
12
1
10
1
3
1
9
1
5
1
12
1
10
1
8
1
6
Square Roots
4 = 2 9 = 3 16 = 4
25 = 5 36 = 6 49 = 7
1
4
1
9
1
12
Exponential Form
100 = 10 × 10 = 10 2
1,000 = 10 × 10 × 10 = 10 3
10,000 = 10 × 10 × 10 × 10 = 10 4
1
10
1
4
1
8
1
9
1
12
1
5
1
6
1
10
1
2
1
12
1
8
1
3
1
9
3
4 1
Review sample
Examples of Fractions, Decimals and Percentages
Fraction Decimal Percentage Fraction Decimal Percentage Fraction Decimal Percentage
1
1
1
2
0.5 50%
5
0.2 20%
8
0.125 12 1 2 %
1
2
1
4
0.25 25%
5
0.4 40%
10
0.1 10%
1
3
0.33 33 1 3
1
3 %
5
0.6 60%
100
0.01 1%
3
4
4
0.75 75%
5
0.8 80%
1
2
1
10
1
4
1
12
1
5
1
6
1
8
1
9
1
12
1
10
124 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MATHS FACTS
Positive and Negative Numbers
Diameter
Radius
–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5
2-D Shapes – Quadrilaterals
A quadrilateral is a shape with 4 sides and 4 angles.
The total of the angles is 360°.
square
4 equal length sides
4 right angles
rhombus
4 equal length sides
opposite angles are equal
The Circle
diameter
radius
A line that divides a circle into half.
Half of a circle’s diameter from the
centre of the circle to the circumference.
rectangle
2 opposite sides
are equal
4 right angles
Strand: Shape and Space
parallelogram
2 pairs of sides
the same length
2 pairs of angles the
same size
trapezium
1 pair of parallel sides
3-D Shapes
2-D Shapes – Triangles
A triangle has 3 sides and 3 angles.
The total of the angles is 180°.
equilateral triangle
3 sides the same length
3 angles the same size
isosceles triangle
2 sides the same length
2 angles the same size
scalene triangle
No equal sides or angles
Other 2-D Shapes
circle semicircle oval
pentagon
5 sides
5 corners
hexagon
6 sides
6 corners
Review sample
octagon
8 sides
8 corners
cube
6 faces 12 edges
8 vertices
cuboid
6 faces 12 edges
8 vertices
cylinder
3 surfaces 0 edges
0 vertices
cone
2 surfaces 0 edges
1 vertex
sphere
1 surface 0 edges
0 vertices
triangular prism
5 faces 9 edges
6 vertices
pentagonal prism
7 faces 15 edges
10 vertices
hexagonal prism
8 faces 18 edges
12 vertices
tetrahedron
(triangular-based pyramid)
4 faces 6 edges
4 vertices
square-based pyramid
5 faces 8 edges
5 vertices
octahedron
8 faces 12 edges
6 vertices
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 125

MATHS FACTS
Strand: Shape and Space
Nets
cone
cuboid
cylinder
Horizontal
A line parallel to the horizon.
Vertical
A line which is at a right angle
to a horizontal line.
Parallel
Lines that are always the same
distance apart and have no
common points.
Acute
cube
Right
Lines
Angles
Perpendicular
A line at a right angle
to another line.
Obtuse
triangular
prism
tetrahedron
(triangular-based pyramid)
square-based
pyramid
Oblique
A line slanting from the
vertical to the horizontal.
Review sample
Reflex
An acute angle
has less than 90°.
A right angle has 90°.
An obtuse angle has
between 90° and 180°.
A reflex angle has between
180° and 360°.
126 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class

MATHS FACTS
Examples:
3 cm
2 cm
3 cm
2 cm
Unit
millimetre
centimetre
metre
kilometre
Strand: Measures
Length
Abbreviation
mm
cm
m
km
Area
10 mm = 1 cm
100 cm = 1 m
1,000 m = 1 km
The area of a rectangle can be found by applying the formula:
area = length x width
Area = L × W
Area = 3 cm × 2 cm
Area = 6 cm 2
6 m
1 m
Area = L × W
Area = 6 m × 1 m
Area = 6 m 2
The area of irregular shapes can be found by breaking the area into appropriate shapes;
for example, rectangles.
Unit
gram
kilogram
Weight
8 cm
1,000 g = 1 kg
6 cm
Abbreviation
g
kg
2 cm
Area = (L × W) + (L × W)
Area = (3 cm × 2 cm) + (6 cm × 2 cm)
Area = 6 cm 2 + 12 cm 2
Area = 18 cm 2
Money
Unit Abbreviation
cent
c
euro €
Review sample
100c = €1.00
Capacity
Unit
millilitre
litre
Abbreviation
m
1,000 m = 1
6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 127

MATHS FACTS
Strand: Measures
a.m.
The time between midnight
and midday is a.m. time.
p.m.
The time between midday
and midnight is p.m. time.
Examples:
8.00 a.m. = 08:00 hours
8.00 p.m. = 20:00 hours
2.30 a.m. = 02:30 hours
2.30 p.m. = 14:30 hours
12.01 a.m. = 00:01 hours
11.59 p.m. = 23:59 hours
Pictogram
A graph in which data is represented by pictures. One
picture could represent one unit or many.
= 2
Cupcakes Baked
Mon Tue Wed Thur
9
10
8
21
22
20
11
23
19
7
Time
12
24
18
6
1
13
17
5
Strand: Data
Bar Graph
Library Books Borrowed During Week 3
Books Borrowed
50
40
30
20
10
0
1st
Class
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
7 days = 1 week
52 weeks = 1 year
365 days = 1 year
366 days = 1 leap year
Review sample
14
16
15
2
4
3
2nd
Class
3rd
Class
Dogs
1
2
1
8
Pie Chart
Pets in 6th Class
Fish
1
4
Other
Cats
1
8
Dogs
20
Fish
10
Cats
5 5
Other
Chance
The likelihood of an event occurring.
Outcomes
Rolling a dice (1, 2, 3, 4, 5, 6)
Coin toss (head, tail)
An even number on a dice (3 in 6 or 1 in 2)
As fractions
As numbers
128 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 6th Class