PR-6149UK Problem-solving Strategies and Skills - Number and Algebra - Year 1

1
Number and algebra
Seven cows, five sheep and three horses went to the
river to drink. Five more cows came to drink.
How many cows were drinking
altogether?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

1
Number and algebra
Twenty cows, twelve sheep and six horses were
drinking at the river. Two more cows came.
Then three more cows joined them.
How many cows were drinking
altogether?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

2
Number and algebra
Mr Brown made up a
number game for the class.
He wrote the numbers
3, 13, 23 and 33 on the board.
What is the next number
he will write?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

2
Number and algebra
Mr Brown made up a
number game for the class.
He wrote the numbers
1, 3, 5, 7 and 11 on the board.
Which number did he
leave out?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

3
Number and algebra
One frog has two eyes.
Two frogs have four eyes.
How many eyes do four
frogs have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

3
Number and algebra
One frog has two eyes.
Two frogs have four eyes.
How many eyes do seven
frogs have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

4
Number and algebra
Sam is two years older than his brother Jack.
If Sam is ten, how old is Jack?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

4
Number and algebra
Jack is one year older than his best friend Josh.
Jill is the same age as Jack.
If Josh is nine, how old is Jill?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

5
Number and algebra
Each box holds five big apples and six
bananas.
How many apples are in two boxes?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

5
Number and algebra
Each box holds five big apples, six bananas
and three oranges.
How many apples are in six boxes?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

6
Number and algebra
There were fifteen clowns riding on unicycles
in the big top. Ten of the clowns
fell over. Everyone laughed.
How many clowns did not
fall over?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

6
Number and algebra
Twelve clowns on unicycles, three elephants and
eight horses went around the big top.
None of the clowns fell over.
How many clowns were
still riding?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

7
Number and algebra
David had nine blocks. Trevor had four
blocks. They put them together
to build a road.
What was the total number
of blocks used?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

7
Number and algebra
Brad built a tower with four blocks.
Steven put four more blocks on top.
Peter added two more.
How many blocks were used
altogether?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

8
Number and algebra
Three camels have twenty four toes.
Two children have twenty toes.
How many toes do three children have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

8
Number and algebra
One camel has eight toes.
Two children have twenty toes.
One dog has sixteen toes.
How many toes do five children have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

9
Number and algebra
Fifteen rabbits and ten bears looked for a home.
Eight rabbits found a home.
How many rabbits did not have
a home?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

9
Number and algebra
Eleven rabbits, seven bears and nine foxes looked
for a home. None of the rabbits
found a home.
How many rabbits did not
have a home?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

10
Number and algebra
The teacher asked the
children to line up to go to
the library. Ann and Claire are
standing in a line.
How many different ways
can Ann and Claire line up
from first to second?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

10
Number and algebra
The teacher asked the children
to line up to go to the library.
Ann, Claire and Fay are
standing in a line.
How many different ways
can Ann, Claire and Fay line up
from first to third?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

11
Number and algebra
Brad had seven candles on his
birthday cake. Gavin had three more
candles than Brad on his cake.
How many candles did Gavin have
on his cake?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

11
Number and algebra
Brad had seven candles on his
birthday cake. Gavin had
three more candles than Brad.
Justin had one more than Gavin.
How many candles did Justin
have on his cake?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
R.I.C. Publications ® Prim-Ed Publishing
BOX 1

12
Number and algebra
Nina likes playing with numbers. She has the numerals
7 and 9 to make two-digit numbers.
How many two-digit numbers
can she make?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

12
Number and algebra
Nina likes playing with numbers. Nina has the numerals 7 and
9 to make two-digit numbers.
What is the biggest two-digit number
she can make? What is the smallest
number can she make?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

13
Number and algebra
One glove has five fingers.
Two gloves have ten fingers.
How many fingers
do three gloves have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

13
Number and algebra
One glove has five fingers.
Four gloves have twenty fingers.
How many fingers
do six gloves have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

14
Number and algebra
Bree and her mum went to buy ice cream.
Mum let Bree choose two scoops
of ice cream to go on top of her cone.
She can choose strawberry or chocolate.
How many different ways can the scoops
go on top of her cone?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

14
Number and algebra
Bree and her mum went to buy ice cream.
Mum let Bree choose three scoops
of ice cream to go on top of her cone.
She can choose strawberry, chocolate
or vanilla.
How many different ways can the scoops
go on top of her cone?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

15
Number and algebra
Two children are building with blocks.
Jess has one half of the blocks.
She has six blocks.
How many blocks are there
altogether?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

15
Number and algebra
Two children are building with blocks.
Jess has one half of the blocks.
She has six blocks. Callan has
the other half.
How many blocks
does Callan have?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

16
Number and algebra
The children are making numbers
with ‘tens’ and ‘ones’. Meli has
nine ‘tens’. Jacob has six ‘tens’.
How many more ‘tens’ does Meli
have than Jacob?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

16
Number and algebra
The children are making numbers
with ‘tens’ and ‘ones’. Meli has
nine ‘tens’. Jacob has six ‘tens’.
Abi has four ‘tens’.
How many more ‘tens’ does Jacob
have than Abi?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

17
Number and algebra
Heather counted forwards
and backwards in tens
from 0 to 100 on a number line.
She counted from 0 to 100.
Then she counted back to 30.
How many numbers did she miss?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

17
Number and algebra
Heather counted forwards
and backwards in tens
from 0 to 100 on a number line.
She counted from 0 to 100.
Then she counted back to 0.
How many numbers did she miss?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

18
Number and algebra
Mr Brown made up a number
game for the class. He wrote
the numbers 12, 14, 16 and 18
on the board.
What is the next number
he will write?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

18
Number and algebra
Mr Brown made up a number
game for the class. He wrote
the numbers 10, 12, 14 and 18
on the board.
Which number did he leave out?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

19
Number and algebra
One night it rained heavily.
The next day, nineteen worms
wriggled to the top of the soil.
Some hungry birds ate nine.
How many worms were not eaten?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

19
Number and algebra
Mark worked out this problem using a number line.
Mark’s answer was 9.
There were 19 worms. The birds ate 10.
How many worms were not eaten?
What number goes in the box? 19 – = 9
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

20
Number and algebra
Imari got a box of chocolates from
her mum. She gave half of her
chocolates to Khari. A box of
chocolates has 16 chocolates.
How many chocolates did Khari get?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

20
Number and algebra
Imari got a box of chocolates from her
mum. She gave half of her chocolates
to Khari. A box of chocolates has
16 chocolates. Khari gave half of her
chocolates to Jabari.
How many chocolates did Jabari get?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

21
Number and algebra
Brad and Jack each wrote a two-digit number in a table.
Brad wrote:
Tens
Ones
9 5
How many more ‘tens’
does Brad have than Jack?
Two
f ish
add ... ?
•
•
•
Jack wrote:
Tens
Ones
5 4
Review sample
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

21
Number and algebra
Brad and Jack each wrote a two-digit number in a table.
Brad wrote:
Tens
Ones
6 8
Jack wrote:
Tens Ones
4 9
Whose number is bigger—Brad’s or Jack’s?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

22
Number and algebra
There were eight goldfish in the
pet shop. Four children bought the
same number of fish. There were
no fish left in the pet shop.
How many fish did each child buy?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

22
Number and algebra
There were twelve goldfish in the
pet shop. Four children bought the
same number of fish. There were
no fish left in the pet shop.
How many fish did each child buy?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

23
Number and algebra
2 + 3 + 1
= 2 + 1 + 3
= 3 + 2 + 1
= 3 + 1 +
What number goes in the box?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

23
Number and algebra
4 + 5 + 6
= 6 + 5 + 4
= 5 + 6 +
What is the total of the last three numbers?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

24
Number and algebra
Ellie and Taylor each wrote a two-digit number in a table.
Ellie wrote
Tens
Ones
4 7
Taylor had 3 more ‘tens’ than Ellie.
What number is missing
from Taylor’s table?
Tens
Two
f ish
add ... ?
Ones
3
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

24
Number and algebra
Ellie and Taylor each wrote a two-digit number in a table.
Tens
Ones
Ellie wrote 6 2
Taylor had 2 more ‘ones’
than Ellie and 1 ‘ten’.
Whose number is bigger?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

25
Number and algebra
Sarah baked cupcakes at the weekend.
Each weekday she took two cupcakes
to school to give to her friends.
On Saturday she had two left.
How many cupcakes did she bake?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

25
Number and algebra
Sarah baked cupcakes at the weekend.
Each weekday she took two cupcakes
to school to give to her friends and
she had one cupcake herself. On
Saturday she had three left to share
equally with her brothers Shane and
Blaine.
How many cupcakes did she bake?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

26
Number and algebra
Daniel read a fantasy story
with lots of characters.
There were four more dragons
than fairies.
There was one less pixie than dragons.
Six characters were pixies.
How many characters were in the book?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

26
Number and algebra
Daniel read a fantasy story with
lots of characters.
There were three giants and one mermaid.
There were three more dragons than
fairies.
There were two less pixies than dragons.
Five characters were pixies.
How many characters were in the book?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

27
Number and algebra
The Smith family are sharing pizzas for dinner.
Mr and Mrs Smith each eat 1 of a pizza.
2
Ross and Peter each eat 1 4 of a pizza.
How many whole pizzas
do they need to buy?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

27
Number and algebra
The Smith family are sharing pizzas for dinner.
Mr and Mrs Smith each eat 1 of a pizza.
2
Ross and Peter each eat 1 4 of a pizza.
How much is left over if they buy
two whole pizzas?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

28
Number and algebra
Old MacDonald had some cows and hens on his
farm. E-I-E-I-O! There are 10 animals altogether.
There are 32 animal legs altogether.
24 animal legs are cow legs.
How many cows are there?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

28
Number and algebra
Old MacDonald had some cows and hens on his
farm. E-I-E-I-O! There are 10 animals altogether.
There are 32 animal legs altogether.
24 animal legs are cow legs.
How many hens are there?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

29
Number and algebra
Main Street is a very pretty street
with houses made from brick, wood
and stone. The houses in Main Street
are numbered from 1 to 100.
How many houses have zero
as part of their number?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

29
Number and algebra
Main Street is a very pretty street
with houses made from brick, wood
and stone. The houses in Main Street
are numbered from 1 to 100.
How many houses have the
digit 8 as part of their number?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

30
Number and algebra
Maddie gave her mum a bunch of 30 flowers.
There were roses, daisies and lilies
in the bunch. There were the same
number of each type of flower
in the bunch.
How many lilies were there?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1

30
Number and algebra
Maddie gave her mum a bunch of 24 flowers.
There were roses, daisies and lilies
in the bunch. There were 12 lilies.
There were twice as many
daisies as roses.
How many daisies were in the bunch?
Two
f ish
add ... ?
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
BOX 1

Card 1
Extension
Card 2 43
Extension 9
Card 3
Extension
Card 4
Extension
Card 5
Extension
Card 6
Extension
Card 7
Extension
twelve (12) cows
twenty-five (25) cows
eight (8) eyes
fourteen (14) eyes
Jack is eight (8) years
old.
Jill is ten (10) years
old.
ten (10) apples
thirty (30) apples
five (5) clowns
twelve (12) clowns
thirteen (13) blocks
ten (10) blocks
Two
f ish
add ... ?
Number and algebra – Answers
Card 8
Extension
Card 9
Extension
Card 10
Extension
Card 11
Extension
Card 12 two
Extension 97, 79
Card 13
Extension
thirty (30) toes
fifty (50) toes
seven (7) rabbits
eleven (11) rabbits
Ann then Claire/Claire
than Ann
Ann, Claire, Fay/Ann,
Fay, Claire/ Claire,
Ann, Fay/Claire, Fay,
Ann/ Fay, Ann, Claire/
Fay, Claire, Ann
ten (10) candles
eleven (11) candles
fifteen (15) fingers
thirty (30) fingers
•
•
•
Card 14
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
Extension
Card 15
Extension
Card 16
Extension
strawberry then
chocolate/chocolate
then strawberry
strawberry,
chocolate, vanilla/
strawberry, vanilla,
chocolate/chocolate,
strawberry, vanilla/
chocolate, vanilla,
strawberry/
vanilla, strawberry,
chocolate/
vanilla, chocolate,
strawberry
twelve (12) blocks
six (6) blocks
three more ‘tens’
two more ‘tens’
Card 17 3 numbers—20, 10
and zero
Extension none
Card 18 20
Extension 16
Card 19 ten (10) worms
Extension 10
Card 20
Extension
Card 21
Extension
Card 22
Extension
Review sample
eight (8) chocolates
four (4) chocolates
four (4) tens
Brad’s number is
bigger.
two (2) fish
three (3) fish
Card 23 two (2)
Extension fifteen (15)
BOX 1

Card 24 seven (7)
Extension Ellie’s number is
bigger.
Card 25 twelve (12) cupcakes
Extension eighteen (18)
cupcakes
Card 26 sixteen (16)
Extension twenty (20)
Card 27
Extension
Card 28
Extension
Card 29
Extension
Card 30
Extension
two (2) whole pizzas
half ( 1 2 ) a pizza
six (6) cows
four (4) hens
ten (10) houses
nineteen (19) houses
ten (10) lilies
eight (8) daisies
Two
f ish
add ... ?
Number and algebra – Answers
Review sample
•
•
•
A B C 5 + 2 = 7
3 6 9 8 – 3 = 5
BOX 1