RIC-6941 The Maths Box Series - Year 6 - Sample cards

Card 1
Number and Algebra — Number and place value
264
+ 123
200 + 100
= 300
ADDITION AND SUBTRACTION
STRATEGIES
To solve addition and subtraction sums, partition the numbers according to place value by
visualising place value blocks or number expanders. Then add/subtract the numbers in each place.
Remember to trade if required.
264
– 123
Number expanders
Place value blocks
Hundreds Tens Ones
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200 – 100
= 100
60 + 20
= 80 60 – 20
= 40
4 + 3
= 7 4 – 3 = 1
It equals
387.
100 + 40 + 1
= 141
Maths box 6
(01)
R.I.C. Publications ® — ricpublications.com.au

Card 1
Addition with partitioning
1 Select the most efficient
partitioning for 352 + 243.
(a) 300 + 200 + 50 + 40 + 2 + 3
(b) 300 + 52 + 200 + 43
2 The most efficient partitioning to solve
461 + 512 is:
(a) 400 + 61 + 500 + 12
(b) 400 + 500 + 60 + 10 + 1 + 2
3 Which one shows partitioning of 847 +
151 most efficiently?
(a) 800 + 40 + 7 + 100 + 51
(b) 800 + 100 + 40 + 50 + 7 + 1
4 True or False?
100 + 50 + 9 + 200 + 40 + 0 is the same
as 159 + 240.
5 True or False?
500 + 40 + 3 + 200 + 30 + 4 can be
rearranged and written as
5000 + 200 + 40 + 30 + 3 + 4.
6 Yes or No?
Does 1000 + 2000 + 400 + 200 + 8 + 1
equal 3069?
7 True or False?
8735 + 1204 = 9000 + 900 + 30 + 9
8 Solve 21 641 + 52 002 using
partitioning.
9 Calculate 99 462 + 67 327 using
partitioning.
ADDitional activity
Write five three-digit sums and partition them by drawing Australian notes and gold coins.
For example: 152 + 121 = 100 + 100 + 50 + 20 + 2 + 1
+
Subtraction with partitioning
When partitioning a subtraction sum, each
place is subtracted and the answers are
added together.
10 Yes or No? Is this
working out correct?
294 – 163 = (200 – 100) + (90 – 60) + (4
– 3) = 100 + 30 + 1 = 131
11 Select the correct partitioning for 949 –
627.
(a) (900 – 600) – (40 – 20) – (9 – 7)
(b) (900 – 600) + (40 – 20) + (9 – 7)
12 True or False?
The correct partitioning to solve 9512
– 7501 is
(9000 – 7000) + (500 – 500) + (10 – 0) +
(2 – 1)
13 Yes or No?
Does 321 – 210 equal 300 – 200 – 20 –
10 – 1 – 0?
14 Yes or No?
Does 789 – 456 equal (700 – 400) +
(80 – 50) + (9 – 6)?
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15 Solve 74 665 – 12 142 using
partitioning.
16 Calculate 1 569 637 – 48 426 using
partitioning.

Number and Algebra — Fractions and decimals
Card 1
1 The yellow bricks on the number line
represent which fraction?
(a)
1
2
(b)
1
4
(c)
2 The blue row of bricks is divided into
(a) eighths
(b) sixteenths
(c) twentieths
3 Twelve sixteenths is equivalent to
three quarters and eighths.
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1
8
4 True or False?
The denominator of a fraction refers to
the number of equal parts an object is
divided into.
5 The refers to how many parts of
the whole are selected.
6 A fraction wall is used to show
the of fractions with related
denominators.
(a) symmetry
(b) equivalence
Maths box 6
(15)
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Card 1
A
7 On the number line, A
represents which fraction?
(a) 1 2
(b) 1 4
1
(c)
(d)
8
1
16
8 Which letter is at 2 on the number
8
line?
9 Which letter is halfway between 1 2
and 1 on the number line?
(a) K (b) H (c) M (d) L
10 Letter H could be replaced with:
(a) 4 8 and 8 16
(b) 2 and 3 4 8
(c) 7 and 1
16
11 Which letter is located at 7 8
on the number line?
(a) N (b) G (c) L (d) O
12 Which set of fractions is in
descending order (largest to
smallest)?
(a)
(b)
(c)
2
2 , 3 4 , 3 16 , 1 8
1
4 , 6 16 , 1 2 , 7 8
2
2 , 2 4 , 5 8 , 2 16
13 Select the incorrect statement.
(a) 5 8 > 2 4
(b) 9 16 < 4 8
(c) 2 2 > 15
16
Number line
B C D E F G H I J K L M N O
0 1
14 Which two fractions
are equal to 3 ?
4
(a) 13
(b) 12
(c) 11
16 and 5 8
16 and 6 8
16 and 7 8
15 Which fraction is halfway between 1 2
and 3 on the number line?
4
(a) 2 2
(b) 5 8
(c) 9 16
16 True or False?
The fraction that is represented
by F is greater than three eighths.
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Cut a strip of paper 16 cm long.
Fold it in half four times.
Open the strip and colour 1 of it red,
2
1
of it blue, 1 of it green and 1 of it
4 8 16
yellow. (Do not overlap colours!)
Yes or No? Were all parts of the
paper coloured?
Use a ruler to measure how long
5
8 of 16 cm is and how long 3 4 of
16 cm is.

Card 1
Number and Algebra — Money and financial mathematics
Cheap
Tuesdays
Menu
Steak, mashed potato and veg……… $30.00
Chicken parmigiana……………………$20.00
Burger and chips………………………$18.00
Fish and chips…………………………$16.00
Pizza………………………………… $14.00
Kids’ Menu
Fish and chips…………………………$10.00
Nachos………………………………… $8.00
Nuggets and chips………………………$6.00
Cheap Tuesdays
50% off
everything
1 What is the price of fish and chips for
an adult on Monday?
(a) $10.00
(b) $8.00
(c) $16.00
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2 How much would it cost to order the
steak, mashed potato and veg on
Tuesday?
3 Yes or No?
Is it cheaper to order the burger
and chips rather than the chicken
parmigiana?
4 How much will it cost to order a pizza
on the weekend?
(a) $14.00 (b) $7.00
Maths box 6
(30)
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Card 1
5 What is 50% of $14.00?
6 What is 50% of $6.00?
7 What is half of $16.00?
8 How much money should I bring to
order pizza and adult fish and chips
on Thursday night?
(a) $30.00
(b) $15.00
9 How much will two nachos and one
pizza cost on Friday night?
(a) $15.00
(b) $30.00
(c) $40.00
10 Is it cheaper to order two kids’ fish
and chips or one adult fish and
chips?
11 What is the cost of ordering two
chicken parmigianas on Tuesday?
(a) $40.00
(b) $20.00
12 How much will it cost to order the
steak, chicken parmigiana and pizza
on Tuesday?
ADDitional activity
Copy the table and complete the dessert menu to match these prices.
Menu item Standard price Tuesday price
$10.00
$ 8.00
$ 6.00
$ 4.00
$ 2.00
The family decides to order one burger
and chips, one pizza, one nachos, and one
nuggets and chips.
13 How much would this cost on
Wednesday?
(a) $46.00
(b) $40.00
(c) $23.00
14 How much would this cost on
Tuesday?
15 How much money have they saved
by eating on Tuesday?
16 How much money did they
spend on the children’s meals on
Tuesday?
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Find out how much it would cost for you and a partner to order a meal and dessert each
on Monday.
If you ordered the same on Tuesday, how much would you save?

Number and Algebra — Patterns and algebra
Card 1
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1 How much flour is needed to make three batches of pancakes?
(a) 0.3 kg (b) 0.3 g (c) 0.3 L
2 How many eggs are needed to make four batches of pancakes?
3 tablespoons of oil are needed to make five batches of pancakes.
4 How much milk is needed to make two batches of pancakes?
(a) 0.8 L (b) 0.6 mL (c) 0.6 L
Maths box 6
(33)
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Card 1
5 The recipe requires ___ eggs to make
one batch of pancakes.
(a) 1
(b) 2
(c) 3
6 True or False?
ART
Photo of eggs arranged in any
way.
One teaspoon of oil is needed to
make one batch of pancakes.
7 How much flour is needed to make
one batch of pancakes?
(a) 0.1 kg or 1000 g
(b) 0.1 kg or 100 g
(c) 0.1 kg or 10 g
8 The amount of milk needed for one
batch of pancakes is:
(a) 3 L
(b) 0.3 L
(c) 0.03 L
9 True or False?
ART
Photo of milk in a glass jug.
Two litres of milk are needed to make
six batches of pancakes.
10 How many grams of flour are needed
to make six batches of pancakes?
(a) 0.6 grams
(b) 0.6 kilograms
(c) 600 grams
11 The amount of flour in each batch is
increasing by:
(a) 0.1 kg
(b) 1 kg
(c) 10 kg
ART
Photo of 1 kg bag of flour.
12 What is the amount of milk in each
batch increasing by?
(a) 0.1 L
(b) 0.3 L
(c) 0.5 L
13 True or False?
The recipe for ten batches of
pancakes requires: 1 kg of flour, 15 L
of milk, 20 eggs and 20 tbsp of oil.
14 If one batch serves 12 people, how
many batches are needed for 240
people?
15 Yes or No?
If one batch serves 12 people, would
500 g of flour make enough pancakes
for 60 people?
16 If one batch serves 12 people, then to
make enough pancakes to serve 30
people exactly, the ingredients in one
batch need to be multiplied by:
(a) 2.5 (b) 3 (c) 3.5
ADDitional activity
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What is your
favourite food?
Find a recipe of
your favourite food
online.
❖ Write the ingredients needed to
make one batch or serve.
❖ Double the ingredients and write the
new recipe.
❖ How many ingredients are needed to
make to make 10 10 batches batches or serves? or serves?

Card 1
Measurement and Geometry — Using units of measurement
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1 What is the length of Peaceful Park?
(a) 10 m (b) 36 m (c) 100 m
2 The park has an area of square metres.
3 The flowerbed has an area of:
(a) 10 m 2 (b) 36 m 2 (c) 100 m 2
Maths box 6
(41)
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Card 1
4 If one flower = 1 m 2 , what is the area
of the sandpit?
(a) 3 m 2
(b) 9 m 2
(c) 12 m 2
5 True or False?
The brick paving has the same area
as the flowerbeds.
6 The play equipment is situated on
two-thirds of the sandpit. What is the
area of the play equipment?
7 What is the perimeter of the grassed
area?
(a) 6 m
(b) 24 m
(c) 36 m
8 The purple and orange flowers
occupy what area of the flowerbed?
(a) 24 m
(b) 24 m 2
(c) 24 cm 2
9 True or False?
The yellow flowers occupy one-third
of the park.
10 The length of the grassed area is
_____ metres.
11 One park bench has an area of:
(a) half a square metre
(b) one square metre
(c) two square metres
12 True or False?
The unit for length is metres and the
unit for area is square metres.
13 A cinema screen has a width of 7 m
and a height of 1.5 m. It has a
perimeter of 17 metres and an area of
_______.
14 A rectangular shopping centre has
an area of 270 m 2 . If the length of the
shopping centre is 15 m, what is the
width?
(a) 15
(b) 18 m
Area:
270 m 2
(c) 21 m
15 m
15 A paddock has an area of 289 m 2 . It
has a length of 17 m. To fence the
perimeter of the paddock, how many
metres of fence are needed?
(a) 17 m
(b) 68 m
Area:
289 m 2 17 m
(c) 289 m
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16 A square house has a perimeter of
64 m. What is the area of the house?
?
ADDitional activity
Measure the length and width of these items in the classroom.
Record them in a table.
Whiteboard Poster Atlas/Book
Computer Novel Window
1234567
C
/ x
7 8 9 -
4 5 6 =
1 2 3
+
0 .
Calculate the area and perimeter of each item. Remember to use the correct units.

Measurement and Geometry — Shape
Card 1
SKYSCRAPERS
Temasek Tower
Singapore
234.7 m
1 What do these three buildings have in common?
(a) They are all in the United States of America.
(b) They are all prisms.
(c) They are all pyramids.
Flatiron Building
USA
87 m
2 What is the height order of these buildings in ascending order (getting bigger)?
(a) Temasek Tower, Flatiron Building, Baltimore World Trade Centre
(b) Flatiron Building, Baltimore World Trade Centre, Temasek Tower
(c) Temasek Tower, Baltimore World Trade Centre, Flatiron Building
3 The Temasek Tower is nearly as tall as the Baltimore World Trade Centre.
(a) twice (b) three times (c) half
4 The Temasek Tower is nearly as tall as the Flatiron Building.
(a) twice (b) three times (c) one-third
Baltimore World Trade Centre
USA
123 m
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Maths box 6
(50)
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Card 1
Temasek Tower
5 Name the shape of the Temasek
Tower.
(a) cylinder
(b) sphere
6 The correct net for this shape is:
(a)
(b)
7 How many faces does this shape
have?
8 A cylinder has corners.
Flatiron Building
9 What 3D shape is the Flatiron
Building?
10 Which is the correct net for this
shape?
(a)
Baltimore World Trade Centre
13 This building is a .
(a) pentagonal pyramid
(b) pentagonal prism
14 This diagram is a .
(a) skeletal model
(b) net
15 Yes or No?
Does a pentagonal prism have 7
faces, 15 edges and 10 corners?
16 True or False?
The definition of a prism is a 3D
object with parallel and congruent
end faces, with the other faces being
rectangles.
ADDitional activity
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Do you recognise these buildings?
A
B
(b)
11 True or False?
This building has 5 faces.
12 This shape has edges.
Research and write down which
countries they are from, which 3D
shapes they are made from and
how tall they are.

Card 1
Measurement and Geometry — Location and transformation
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1 A reflection is the ________ image of
an object, where each point of the
object is the same distance from the
‘mirror line’.
(a) smaller
(b) identical
(c) mirror
(d) larger
2 True or False?
A reflected image can be smaller than
the original object.
3 True or False?
A flip in mathematical terms is the
same as a reflection.
4 A reflection can be either vertical or
, depending on the position
of the ‘mirror line’.
Maths box 6
(54)
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Card 1
5 The ‘mirror line’ for Robot 1 is:
(a) horizontal
(b) vertical
6 The image of Robot 1 is not a true
reflection. Which aspect of the robot
has not been reflected correctly?
(a) the smile
(b) the antennae
(c) the clock
7 Is the mirror line for Robot 2
horizontal or vertical?
8 Which aspect of Robot 2 has not
been reflected correctly?
9 Yes or No?
Is the image of Robot 3 a reflection of
its object?
10 Justify your answer for Question 9.
(a) Yes, because all parts of the
robot are reflected.
(b) Yes, because they are the same
distance from the ‘mirror line’.
(c) No, because the image is smaller
than the object.
11 Yes or No?
Is the image of Robot 4 a reflection of
its object?
Look at these pictures of Robot 5 to answer
Q13–Q16.
Object
Image B
13 True or False?
Two mirror lines can be added to
this picture to make it true.
14 Look at Robot 5. Which two images
are true reflections of the object?
15 Image B has been reflected
.
(a) horizontally
(b) vertically
16 The object has NOT been reflected
to create Image C.
(a) horizontally and then vertically
(b) diagonally
Image A
Image C
(c) vertically and then horizontally
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12 Select the correct statement.
(a) Robot 4 is reflected because the
image and the object are the
same size and shape.
(b) Robot 4 is not reflected because
the image and the object are not
the same size and shape.
(c) Robot 4 is not reflected because
the image is not the same
distance from the ‘mirror line’ as
the object.
Fold a piece of grid paper in half. Design
a robot on one half of the grid paper.
Unfold the paper and draw the reflected
image using the fold line as the mirror
line.
Draw another robot on a piece of grid
paper and ask a partner to draw the
reflection.

Measurement and Geometry — Geometric reasoning
Card 1
SHAPE SORTER
triangle trapezium rhombus
hexagon
rectangle
parallelogram
heptagon
decagon
square
octagon
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1 Select the set of shapes that have at least one acute angle.
(a) a triangle, a trapezium, a diamond, a rhombus and a parallelogram
(b) a triangle, a trapezium, a diamond, a rhombus and a rectangle
(c) a triangle, a diamond, a rhombus, a parallelogram and a pentagon
diamond
nonagon
pentagon
2 Select the set of shapes that do not have any obtuse angles.
(a) a triangle, a square, a trapezium, a rectangle and a pentagon
(b) a triangle, a square, a diamond and a rectangle
(c) a triangle, a square and a rectangle
3 True or False? The more sides a regular shape has, the larger each angle in the shape.
Maths box 6
(59)
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Card 1
4 A pentagon, a hexagon and a
heptagon all have angles.
(a) acute
(b) obtuse
(c) reflex
5 Which shapes have right angles?
(a) squares and rectangles
(b) trapeziums and parallelograms
(c) all four sided shapes
6 Which four shapes have two acute
angles and two obtuse angles?
7 True or False? Octagons, nonagons
and decagons have internal reflex
angles.
8 An equilateral triangle has 3 equal
angles that add up to 180°. What is
the size of each angle?
(a) 90°
(b) 60°
(c) 30°
9 A regular right-angled triangle has
one right angle and two acute angles
that add to 180°. What is the size of
the two acute angles?
(a) 90°
(b) 45°
(c) 30°
10 True or False? A triangle can have
one right angle, one obtuse angle
and one acute angle.
11 True or False? No regular twodimensional
shape has internal reflex
angles.
12 Yes or No? Do these three shapes
have internal angles that add to 360°?
13 The missing angle in this shape is:
(a) acute
(b) obtuse
(c) right
14 The missing angle in this shape is an:
(a) acute angle
(b) obtuse angle
(c) right angle
150°
15 The sum of all angles in a regular
pentagon is 540°. That means each
angle is 108°. Is each angle an acute,
an obtuse or a reflex angle?
16 The sum of all angles in a regular
hexagon is 720°. Therefore, each
angle is 120°. Is each angle an acute,
an obtuse or a reflex angle?
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30°
ADDitional activities
Find objects around the room
and draw them. Label the angles
as acute, obtuse, right or reflex
angles.
Draw 5 irregular shapes (shapes
with different sized angles) and
label each angle as acute, obtuse,
right or reflex angles.
30°

Card 1
Statistics and Probability — Chance
Rock, paper, scissors
Rules: Children on the count of three make a
hand signal for rock, paper or scissors. Rock beats
scissors; scissors beats paper; and paper
beats rock.
Draw straws
Rules: One child holds enough straws for all
players to have one each, hiding their length.
One straw must be cut shorter than all the others.
Players draw one straw randomly. The player with
the shortest straw loses.
Roll a dice
Rules: All players roll
a dice. The player
with the highest
number wins.
Rock, paper, scissors
Coin flipping
Rules: One child flips a coin and the other child
guesses if it will land heads up or tails up.
Think of a number
Rules: One child thinks of a mystery number
between two given numbers. Players guess a
number in that range. The player with the closest
number to the mystery number wins.
13
15
5 19
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1 In ‘Rock, paper, scissors’, how many ways can a player win?
(a) 1 (b) 2 (c) 3
2 If one player chose scissors, what is the probability of the
other player selecting rock?
(a)
1
3
(b)
2
3
3 True or False?
If 9 different combinations of hand gestures can be made
with two players, the probability of showing the same object
at the same time is 3 9 .
(c)
3
3
Scissors beats paper
Rock beats scissors
Paper beats rock
Maths box 6
(64)
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Card 1
Coin flipping
4 In the game ‘Coin flipping’, what is
the percentage probability of the coin
landing on heads?
5 True or False?
The probability of the
coin landing on tails is 0.5.
6 Yes or No?
Will adding more players to the game
alter the probability of selecting
heads?
Draw straws
7 If five children are playing ‘Draw
straws’, what is the probability of
pulling the short straw?
(a)
1
(b)
2
(c) 4
5
5
5
8 What is the probability of winning
‘Draw straws’ if there are ten players?
(a) 10%
(b) 90%
9 Is there more chance of winning with
eight players or with four players?
Roll a dice
10 When playing ‘Roll a dice’,
what is the probability of rolling a
six?
11 If two players play ‘Roll a dice’ and
one player rolls a 2, what is the
probability that the other player will
win?
(a)
1
(b)
6
12 True or False?
2
6
(c)
4
6
Rolling one on the dice has the same
probability as rolling six on the dice.
Think of a number
13 A child is thinking of a number
between 1 and 20 inclusive. What is
the probability of selecting the correct
number?
15
(a) 100%
(b) 20%
(c) 5%
14 A child is thinking of a number
between 1 and 8 inclusive. The
probability of selecting the correct
number is:
(a) 0.8 (b) 0.10 (c) 0.125
15 True or False?
The greater the range of numbers,
the greater the chance of selecting the
correct mystery number.
16 Select the statement which justifies
which game has more chance of
winning—Coin flipping or Roll a dice.
(a) Coin flipping has more chance of
winning because it only has two
choices available.
(b) Roll a dice has more chance of
winning because it has more
numbers to choose from.
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ADDitional activity
Which game would you prefer to play
and why?
Which game would give you the best
chance of winning?

Card 1
Statistics and Probability — Data representation and interpretation
Average height in metres
4.4
4.2
4
3.8
3.6
3.4
3.2
3
2.8
2.6
2.4
2.2
2
1.8
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
HOW TALL AM I?
Line graph 1
6 12 18 24 30 36 42 48 54 60 66 72
Age in months
1 The most appropriate name for this
graph would be:
(a) Average height of African animals
(b) Average height of giraffes and
zebras
(c) Average height of native
Australian animals
Giraffe
Zebra
Meerkat
5 The animal which is the youngest
when it reaches its full height is the
.
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6 True or False?
The difference between the giraffe’s
maximum height and the meerkat’s
maximum height is 4 m.
2 Line graph 1 is showing …
(a) continuous data
(b) discrete data
3 On average, how tall is a baby giraffe
when it is first born?
7 A giraffe grows metres from
the age of one to the age of five.
8 The scale for the average height is
increasing in increments of .
(a) 2 (b) 0.2 (c) 6
4 At which age does a zebra reach its
full height of 1.2 metres?
Maths box 6
(70)
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Card 1
Average height in metres
4.5
4.4
4.3
4.2
4.1
4
3.9
3.8
3.7
3.6
3.5
3.4
3.3
3.2
3.1
3
2.9
2.8
2.7
2.6
2.5
2.4
2.3
2.2
2.1
2
1.9
1.8
1.2
1.1
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
Line graph 2 9 Yes or No?
Giraffe
Zebra
Meerkat
12 24 36 48 60 72
Could Line graph 2 be named the
same as the Line graph 1?
10 A giraffe reaches its maximum height
at years old.
11 This line graph is showing
data.
(a) numerical
12 Yes or No?
(b) categorical
Are the average heights of each
animal exactly the same on each
graph?
13 The scale of Line graph 2 makes the
heights appear than Line
graph 1.
(a) taller
14 Yes or No?
(b) shorter
Does Line graph 2 have a broken
axis?
15 What is the difference in height
between a newborn giraffe and a
newborn zebra?
(a) 3 m (b) 0.7 m (c) 1.2 m
16 The horizontal lines on Line graph 2
mean that the animals have stopped
.
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Find news articles that include graphs
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article or a sports game review.
Do these articles have misleading
data to make you believe a certain
point of view?
Age in months