Year 3
Maths Practice Questions
Introduction for teachers and parents
In this book there are single-page exercises covering most of the mathematics work that children will meet in Year 3.
On each page there are some examples/hints along with a set of questions for children to answer. There is space
for answers to be written in the book.
Each exercise ends with a challenging question for the more able children.
At the end of each page, children are invited to answer a self-assessment question.
Using this book
The exercises in the Maths Practice Questions books are not intended to be used in the initial teaching of new
mathematics topics.
However, they can be used as:
• Homework activities - to consolidate work done in class.
• End of topic class activities - to give children the opportunity to check their understanding of a particular topic.
• Assessment tasks - allowing teachers to establish whether or not children are secure in their
understanding of a topic.
3
2
4
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Contents
Number and Place Value
3 - 10
Addition and Subtraction
11 - 17
Multiplication and Division
18 - 24
Fractions
25 - 32
Measurement
33 - 38
Geometry
39 - 41
Statistics
42 - 44
Appendix - Information for Parents
45 - 47
Notes
48
Are you
ready for a
challenge?
2
Number and Place Value
A
1
Place value
100
10
1
5
3
8
How many hundreds are in each number?
534 has
361 has
892 has
2
538 is a three-digit number
with 5 hundreds, 3 tens and 8 ones.
5
3
8
hundreds
Let’s get
started!
hundreds
hundreds
What digit is in the ‘ones’ column of these numbers?
1
321
135
5
584
8
What digit is in the ‘tens’ column of these numbers?
432
3
3
What is the value of the 6 in these numbers? Write your answers in words.
ix 
ix 
ix 
62
196
680
4
Here are some digits:
7
5
3
537
Can you use these digits to make a number with 3 tens and 5 hundreds?
What is the smallest number you can make using all three digits?
I know the ‘place value’ of each digit in a 3-digit number.
3
I’m confident
357
I’m nearly there
OK!
B
Reading and writing numbers
Digits
1
638
Can you write these numbers in words?
e d d y-
 d d y-
 d d y-
 d
521
323
999
1000
2
six hundred and thirty eight
Words
Can you write these numbers using digits?
421
666
701
four hundred and twenty-one
six hundred and sixty-six
seven hundred and one
3
Jake has sixteen coins and Daljit gives him 7 more.
How many coins does Jake have now?
23
in digits
y-
4
start with 6
divide by 3
add twelve
Give your answer in digits:
and in words:
in words
12
This looks
tricky!
e
I can read and write numbers up to 1000 in digits and words.
4
double it
I’m confident
I’m nearly there
C
Place value and partitioning
346 can be partitioned into hundreds, tens and ones.
E.g. 346 = 330 + 16
It can be partitioned in other ways too.
1
2
3
4
E.g. 346 = 300 + 40 + 6
Try partitioning these numbers in to hundreds, tens and ones.
648
=
600
+
795
=
+
304
=
700
300
40
90
0
+
8
5
4
+
+
+
Can you complete these?
400
+
20
+
2
=
422
600
+
30
+
=
634
900
+
70
+
4
2
=
972
Now let’s look at some different ways of partitioning.
631
=
620
+
11
448
=
444
+
4
5
Sam wanted to know how many 8s are in 112.
He used a great way to find out.
8 6 4 = 8 0 0 + 6 4
Can you fill in the gaps to help him?
112
=
80
(10 x 8)
So there are
14
(
4
(8 x 8)
(100 x 8)
32
+
Phew!
Use the same idea to
find out how many 8s
there are in 864.
x 8)
8s in 112.
Answer:
I’m confident
I can find different ways of partitioning.
5
108
I’m nearly there
D Counting in multiples of 4, 8, 50 and 100
1 x 4 = 4
2 x 4 = 8
We can count in 4s like this: 0, 4, 8, 12, 16, 20, 24 ...
3 x 4 = 12
Numbers like 4, 8 and 12 are called multiples of 4.
1
Can you find the multiples of 4 in this list? Draw a circle around them.
3
2
4
48
56
60
20
22
28
64
68
72
300
400
500
600
1000
1100
1200
1300
1400
1500
1600
Can you count to 300 in 50s?
100
50
150
200
250
300
Try counting up from 40 in 8s.
40
7
52
200
900
0
6
16
Starting from 800, can you count to 1600 in hundreds?
800
5
10
List the first 6 multiples of 100.
100
4
7
Starting with 44, count up to 72 in fours.
44
3
4 x 4 = 16
48
56
64
72
80
88
96
Only one of these numbers is a multiple of 8. Can you circle it?
18
20
22
42
56
60
Harder!
8
Can you find all the two-digit multiples of 8?
16
24
32
40
48
56
64
72
I’m confident
I can count in multiples of 4, 8, 50 and 100.
6
80
88
96
I’m nearly there
E
More or less
24 is 10 more than 14
1
426 is 100 more than 326
32
What is 10 more than 22?
In digits
y-
What is 10 more than 83?
105
What is 10 more than 95?
2
3
56
In digits
120
110
100
90
203
193
408
398
301
401
1000
1100
1003
1103
What is 100 more than these numbers?
102
2
200
300
Bill had £250. He gave his friend £100, so now he has £100 less.
How much has he got now?
£
5
In words
Can you find 10 less than these numbers?
66
4
59 is 10 less than 69
150
What is two hundred more than two hundred and six?
r d d ix
6
In words
Can you fill in the gaps below?
Tricky!
29
10 more
199
39
100 less
300 more
299
I’m confident
I can find 10 or 100 more or less than a number.
7
339
40 less
I’m nearly there
F
Comparing and ordering numbers
595 is a bigger number than 260.
1
19 < 20
12 is more than 8
19 is less than 20
Which number is the biggest? Put a circle around your answer.
200
2
12 > 8
208
212
164
Can you put these numbers in order, smallest to biggest?
12
4
30
155
6
99
4
6
12
30
99
155
(smallest)
3
(biggest)
Sharky
Eely
Swordy
30 cm long
40 cm long
60 cm long
Sy
Which fish is the longest?
Which fish is the shortest?
How much longer is Swordy than Sharky?
4
17
16
What do you add to 117 to get 133?
31
Lucy is 7 years old. How old will she be in 24 years?
Use the symbols
a) 814
c) 900
30 m
6
What is 6 less than 12?
How many more than 18 is 35?
5
Sy
<
>
>
<
or
=
years old
in the boxes below.
614
b) 2 + 6
999
d) 17 – 6
=
>
I’m confident
I can compare and order numbers up to 1000.
8
4+4
Oh no!
18 – 8
I’m nearly there
G Solving problems
1
Jack’s fish
Jill’s fish
12
Jack has
fish
15
Jill has
fish
Jack and Jill put their fish in a pond. There were already 100 fish in the pond.
127
How many fish are in the pond now?
2
A baker baked 85 loaves of bread. She sold 10 less than she baked.
75
How many did she sell?
3
A baby worm is 32 mm long.
How much more would it need
to grow to be 50 mm long?
0 mm
4
10 mm
20 mm
30 mm
40 mm
50 mm
18
mm
Sam has 6 more marbles than Cal. Zac has eight more than Sam. If Cal has 10,
16
24
- how many marbles does Sam have?
- how many marbles does Zac have?
Help!
Cl
- who has the least marbles?
I can solve problems using what I know about numbers.
9
I’m confident
I’m nearly there
H Word questions
1
Sadie is counting up in multiples of eight.
The first number she says is 16. What is the third number she says?
32
2
Mark partitioned a number like this: 300 + 60 + 8.
368
What number did he start with?
3
Ben has eighty-four stickers and Sara has twenty less.
How many does Sara have?
4
64
Jake is counting down in 50s. The first number he says is 600.
What is the fourth number he says?
5
What even number is bigger than
two hundred and twelve but smaller
than two hundred and fifteen?
6
What is two hundred more than 357?
7
Wow!
1 6
2 4
3 2
450
6 0 0 , 5 5 0
5 0 0 , 4 5 0
214
557
Three friends collected shells on the beach. They collected 95 shells
in total and the first person collected 20. If the second person
collected 25 how many did the third person collect?
50
I can answer word questions about number and place value.
10
I’m confident
2
=
9
=
0 + 2 5
4 5
5 − 4 5
5 0
I’m nearly there
Addition and Subtraction
A
Adding mentally
123 + 30 = ?
Always think about
hundreds, tens and ones.
1
100
10
1
1
2
3
+
123 has 2 tens
0
=
We need to add
10
1
1
5
3
2 tens + 3 tens
= 5 tens
146
262
511
311 + 200 =
What numbers are missing?
130
+
30
=
160
341
+
3
=
344
220
+
600
=
820
Try to follow the steps to find the answer.
200
4
3
100
Can you add these numbers in your head?
232 + 30 =
3
1
3 more tens
144 + 2 =
2
10
+
20
+
100
+
6
+
30
=
356
For a challenge, try these:
166 + 40 =
138 + 5 =
224 + 77 =
393 + 9 =
I can add ones, tens and hundreds to a 3-digit number.
11
206
143
301
402
I’m confident
Do you
think I’m
a genius?
I’m nearly there
B
Subtracting mentally
100
10
1
3
4
5
345 – 4 = ?
Break down or
‘partition’ the numbers into
hundreds, tens and ones.
1
4 ones
10
1
3
4
1
5 ones – 4 ones
= 1 one
641
322
451
751 – 300 =
Can you work out what numbers are missing?
30
6
200
140 –
666 –
324 –
= 110
= 660
= 124
Follow the steps to find the answer.
320
4
=
4
100
Try these in your head:
362 – 40 =
3
–
345 has 5 ones
647 – 6 =
2
1
–
20
–
200
–
10
–
7
=
83
For a big challenge, you could try these:
142 – 8 =
135 – 16 =
Here
goes...
224 – 105 =
342 – 43 =
I can subtract ones, tens and hundreds from a 3-digit number.
12
134
119
119
299
I’m confident
I’m nearly there
C
Written addition
Keep hundreds, tens
and units in line like this:
100
10
1
3
2
4
5
8
8
2
+
3
Start with ones, then tens,
then hundreds.
1
1
Try these:
+
2
4
2
1
2
7
+
3 6 9
3
4
3
4
2
8
+
7 7 1
5
6
1
5
2
6 0 8
1
2
4
1
Now try these:
161 + 427
1 6 1
+ 4 2 7
5 8 8
746 + 35
321 + 186
7 4 6
+
3 5
7 8 1
3 2 1
+ 1 8 6
5 0 7
1
1
Wow!
3
For a challenge you could try these:
699 + 211
6 9 9
+ 2 1 1
9 1 0
1
1
222 + 388
142 + 345 + 134
2 2 2
+ 3 8 8
6 1 0
1
1
I can add numbers with up to 3 digits using column addition.
13
I’m confident
1
3
+ 1
6
4
4
3
2
1
1
2
5
4
1
I’m nearly there
D Written subtraction
100
10
2
_
1
5
6
1
You can change a ten
into ones if you need to.
3
1
3
4
1
2
9
Begin by trying these:
–
4
5
4
3
2
2
–
1 3 2
2
1
6
3
5
2
3
2
–
4 0 3
6
7
6
5
4
5
1 3 1
Now try these:
4
1
–
2
1
1
6
01 1 1
5
2
4
–
8
4 0 8
2
–
3
1
1
9 1
4
5
5
2
1 9 3
Let’s
do this!
3
For a challenge you could try these:
462 – 174
3
−
15
223 – 124
1
4 6 2
1 7 4
2 8 8
1
−
11
702 – 403
1
2 2 3
1 2 4
9 9
I can subtract numbers with up to 3 digits using column subtraction. I’m confident
14
6
−
9
1
7 0 2
4 0 3
2 9 9
I’m nearly there
E
Estimating and checking
Checking
Estimating
You can check a calculation
99 x 3 = ?
by doing the ‘inverse’ calculation.
E.g. 38 – 12 = 26
We know that this is nearly the same as:
check:
100 x 3 = 300
99 x 3 is nearly 300.
E.g. 18 ÷ 3 = 6
check:
a) 81 + 21 = 111
Is this right?
No
because
80 + 20
=
100
b)
21 + 39 = 50
Is this right?
because
20 + 40
=
c)
49 x 6 = 244
Is this right?
No
No
because
50 x 6
=
60
300
Try these calculations and check them. The first one is done for you.
a) 342 – 20 =
322
322
+ 20 = 342
268 – 7 =
261
544
261
544
+ 7 = 268
b)
c) 844 – 300 =
3
3 x 6 = 18
Ben did these calculations. Did he get them right?
Do some estimating to check his answers. The first one is done for you.
1
2
12 + 26 = 38
+ 300 =
844
Siân was asked to share £126 equally between herself and her two brothers.
She said they could have about £30 each.
Harder!
Can you complete this to explain why she was wrong?
Siân was wrong because 3 x
£
30
= £
90
How much should she have given to each brother?
1 2 6
÷
3 = 4 2
Answer:
I can estimate the answer to a calculation and check my answer.
15
I’m confident
£
42
I’m nearly there
F
Adding and subtracting to solve problems
1
Sally had 124 marbles and her
friend gave her 87 more.
Top Tip:
Write the
answers like this
How many did she have
altogether?
4
8
7
2
1
1
1
1
+
How far will she have moved altogether?
1
87cm
8 7
6 4
1 5 1
+
Super Sam the snail moved 87 cm this morning.
She wants to move another 64 cm this afternoon.
2
2
cm
Answer:
151
1
Sally has saved up £214 and her sister has saved up £112.
How much more than her sister has Sally saved?
−
How much do the girls have in total?
2 1 4
1 1 2
1 0 2
2 1 4
1 1 2
3 2 6
+
Answer:
£
Answer:
102
£
326
How much taller than the small tree is the big tree?
3
5
−
big tree
64 metres high
4
cm
1
6 4
3 8
2 6
small tree
38 metres high
Answer:
26 
How many did he give away?
For a challenge try this:
Zac has 283 stamps.
1
Are you
serious?
−
He gave some away and now
he has 194.
I can solve problems using addition and subtraction.
16
17
1
2 8 3
1 9 4
8 9
I’m confident
Answer:
89
I’m nearly there
G Word questions
1
Joe thought of a number and added 6. His answer was 32.
3
2
3
Zoe received forty-four pounds at Christmas.
She spent £13 on films and £12 on books.
How much did she have left?
5
+
871
7 = 3 9
+
3 2
39
Can you use a written method to complete this addition?
Seven hundred and twenty three plus
one hundred and forty-eight.
1
4 4
2 5
1 9
4 x 8 = 3 2
There are 7 instructors and four teams of 8 children
in a swimming club.
How many people are there altogether?
4
−
19
£
6 = 2 6
−
3 2
26
What number did he think of?
7 2 3
1 4 8
8 7 1
1
If sixty-three plus sixty-three is one hundred and twenty-six,
explain how you would work out the answer to sixty-three plus
sixty-eight and give the answer.
Siy-t  5 e n iy-, o 
r  126 + 5 = 131
Answer:
131
4
6
Charlie scored 155 on his turn in a game of darts.
This was thirty-six more than his sister scored.
How many did she score?
119
−
1
1 5 5
3 6
1 1 9
OK!
I can answer word questions about addition and subtraction.
17
I’m confident
I’m nearly there
Multiplication and Division
A
Multiplying by 3, 4 and 8
Don’t forget that 8 x 6 is the same as 6 x 8
You can multiply in any order 2 x 3 = 3 x 2
1
Give yourself a quick test.
9
18
27
36
a) 3 x 3 =
d) 6 x 3 =
g) 3 x 9 =
j) 12 x 3 =
2
k) 11 x 4 =
f) 8 x 8 =
i) 9 x 8 =
l) 8 x 12 =
11
15
17
21
26
33
Circle the numbers that can be divided by 8.
24
30
42
48
58
64
Now try these:
a) 3 x 6 =
d) 4 x 4 =
g) 8 x 3 =
5
h) 8 x 4 =
8
17
4
e) 4 x 6 =
24
64
72
96
c) 3 x 8 =
Circle the numbers that are multiples of 3.
6
3
16
24
32
44
b) 4 x 4 =
18
16
24
b) 3 x 60 =
e) 4 x 40 =
h) 8 x 30 =
180
160
240
c) 3 x 600 =
f) 4 x 400 =
i) 8 x 300 =
1800
1600
2400
Are you ready for a challenge?
Tricky!
a)
8x5x3=
c) 8 x 50 x 2 =
120
800
b)
3x8x2=
d) 4 x 30 x 3 =
I’m confident
I can multiply by 3, 4 and 8.
18
48
360
I’m nearly there
B
Dividing by 3, 4 and 8
If 3 x 8 = 24 then 24 ÷ 8 = 3 and 24 ÷ 3 = 8
1
Here are some questions to get you started:
4
5
5
a) 12 ÷ 3 =
d) 20 ÷ 4 =
g) 40 ÷ 8 =
2
c) 36 ÷
h) 64 ÷ 8 =
f) 48 ÷ 4 =
i) 72 ÷ 8 =
11
12
9
4
3
=7
b) 32 ÷
= 12
d) 32 ÷
4
8
=8
=4
Now try these:
a) 30 ÷ 3 =
c) 24 ÷ 4 =
e) 24 ÷ 8 =
4
e) 32 ÷ 4 =
c) 33 ÷ 3 =
Complete these calculations:
a) 28 ÷
3
9
8
8
b) 27 ÷ 3 =
10
6
3
100
60
30
b) 300 ÷ 3 =
d) 240 ÷ 4 =
f) 240 ÷ 8 =
Bring
it on!
Challenge time!
a) 480 ÷ 8 =
d) 640 ÷ 8 =
60
80
b) 480 ÷ 4 =
e) 640 ÷ 80 =
120
8
c) 480 ÷ 6 =
f) 640 ÷ 32 =
I’m confident
I can divide by 3, 4 and 8.
19
80
20
I’m nearly there
C
Solving problems using the 3, 4 and 8 times tables
Three little pigs each built three little houses.
How many houses did they build?
1
Answer: 3 x 3 = 9
A shepherd has 48 sheep. He wants to put the same number in each of his 4 fields.
How many sheep should he put in each field?
12
2
Spiders have 8 legs, so how many legs would 3 spiders have in total?
24
3
There are 7 days in a week, so how many days are there in 8 weeks?
56
4
A dog has 6 spots on each leg and ten on the remainder of its body.
How many spots does the dog have?
34
5
Jake has these cards:
3
4
6
7
8
Help!
What is the largest multiple of 8 he can make by putting two cards side by side?
64
I can solve problems using the 3, 4 and 8 times tables.
20
I’m confident
I’m nearly there
D Multiplying 2-digit numbers by 1-digit numbers
Remember: 2 x 36 is the same as 36 x 2 Also: 2 x 36 = 2 x 30 + 2 x 6
x
Grid Method
For calculating
2 x 36
1
2
3
2
3
30
60
(2 x 30)
6
12
(2 x 6)
72
(60 + 12)
Short
Multiplication
x
6
2
71
2
Fill in the missing numbers.
a) 24 x 3 =
3
x
24
b) 66 x 5 =
5
x
66
Fill in the missing numbers below.
a) 3 x 26 =
3 x 20
+
b) 13 x 8 =
10 x 8
+
c) 24 x 4 =
20
x4 +
3
3
x6
=
60
+
x8
=
80
+
=
80
+
4x4
18
24
16
=
=
=
Tricky!
Use the grid method or short multiplication to answer these questions.
3 x 41
8 x 22
4 x 53
x 3
4 0 1 2 0
1
3
1 2 3
2 2
x
8
1 71 6
5 3
x
4
2 11 2
I can multiply 2-digit numbers by 1-digit numbers.
21
I’m confident
78
104
96
I’m nearly there
E
Dividing by 1-digit numbers
2 7
2 7
Expanded
Method
3
For calculating
Short
Division
8 1
– 6 0
81 ÷ 3
3
8 21
(3 x 20)
2 1
– 2 1
(3 x 7)
Answer: 81 ÷ 3 = 27
0
Try these calculations using short division:
1
4
2
64 ÷ 4
85 ÷ 5
1 6
1 7
6
2
4
5
8
3
112 ÷ 8
123 ÷ 3
1 4
5
8
1
1
3
4 1
2
3
1
2
3
Why not try some harder ones using the expanded method?
78 ÷ 3
656 ÷ 8
411 ÷ 3
8 2
2 6
3
7
8
8
6
6
3
4
−
6 0
1 8
1 8
0
−
6 4 0
1 6
− 1 6
0
−
3 0 0
1 1 1
9 0
2 1
− 2 1
0
−
5
1 3 7
−
Let’s go!
I’m confident
I can divide by 1-digit numbers.
22
1
1
I’m nearly there
F
Solving problems using multiplication and division
If three people shared 17 biscuits
how many would be left over?
Answer: 3 x 5 = 15
They get 5 each with 2 left over.
1
Four pigs each ate 12 potatoes.
How many potatoes did they eat altogether?
2
A banana weighs 96 g.
48
1 6
6 9 36
It is chopped into 6 equal pieces.
Answer:
How much does each piece weigh?
3
16 g
There are three football teams each with 11 players. Each player has 8 fingers and 2 thumbs.
How many thumbs do they have altogether?
3
4
x
11
x
2
Zane ate 2 chocolate bars every day for 3 days.
Each one cost 64 p.
5
p
Fun
time!
Think of a number between 5 and 9.
add 15 to it
then
multiply by 4
6
He  6 
6 + 1 5 = 2 1
4 x 2 1 = 8 4
8 4 ÷ 2 = 4 2
then
divide it by 2
My number:
66
6 4
x
6
3 82 4
How much did he spend altogether?
384
=
42
The answer:
I can solve problems using multiplication and division.
23
I’m confident
I’m nearly there
G Word questions
1
If there are four Christmas cards in a pack and you buy six packs,
how many cards would you have?
24
2
If each car can carry four passengers, how many cars would
you need to take twenty-eight passengers to the airport?
4 x 6 = 2 4
2 8
÷
4 = 7
4 8
÷
4 = 1 2
7
3
Charlie wanted to share forty-eight chocolate buttons equally
between himself and three friends.
12
How many buttons would each person have?
4
A class of children was split into three teams of eight.
24
How many children were in the class?
5
6
Spiders have eight legs. If a group of spiders has
seventy-two legs, how many spiders are in the group?
9
Jake walks twenty-seven kilometres a week.
How far does he walk in nine weeks?
7
3 x 8 = 2 4
What is three hundred and twenty-five
divided by five?
243
kilometres
65
24
÷
8 = 9
2 7
x
9
2 46 3
6 5
5 3 22 5
Let’s do
this!
I can answer word questions about multiplication and division.
7 2
I’m confident
I’m nearly there
Fractions
A
Tenths
One tenth (
We write tenths after
the decimal point like this:
1
10
) of a
bar of chocolate.
100 10
1
1 . 4
3 tens
1 unit
4 tenths
Can you count in tenths? Fill in the gaps.
1
10
2
1
10
3
2
2 hundreds
1 .
3
10
2
10
4
10
5
10
7
10
6
10
8
10
9
10
A cake was cut into tenths at a party.
10
How many pieces were there altogether?
How many pieces were in
1
2
the cake?
5
3
Shade in
4
Shade in
9
10
Shade in
Fill in the boxes below.
10
20
a) 100 ÷ 10 =
d) 200 ÷ 10 =
5
4
10
b) 10 ÷ 10 =
e) 20 ÷ 10 =
Let’s write tenths as decimals! Remember
1
10
c) 1 ÷ 10 =
1
2
f) 2 ÷ 10 =
= 0.1
7
10
1
10
2
10
I can
do it!
Can you write these fractions as decimals?
2
10
=
0.. 2
4
10
0.. 4
=
6
10
I’m confident
I understand what ‘tenths’ are.
25
=
0.. 6
I’m nearly there
B
Recognising fractions
1
Imran is using a quarter ( 4 ) of the crayons.
Altogether there are 12 crayons,
so Imran is using 3 of them.
1
What fraction of these fish are red?
1
10
Answer
2
1
8
Answer
2
9
Look at this number line.
What fraction is the
arrow pointing to?
5
10
0
3
Answer
1
7
10
Shade in the circles to show the fractions below. Don’t leave any gaps between the bits you shade.
3
8
6
16
What can you say about these two fractions?
Ty e  
4
How many would
1
4
of 36 beads be?
9
beads
How many would
1
3
of 36 beads be?
12
beads
How many would
1
8
of 64 beads be?
8
beads
I’m confident
I understand what fractions are.
26
Brain
strain!
I’m nearly there
C
Using fractions
1
4
What is
of 20?
To find out, we need to split 20 into 4 equal groups. This is the same as 20 ÷ 4 = 5
1
A quarter of all the people in a room have blue eyes. There are 28 people in the room.
How many have blue eyes?
4
28 ÷
2
3
7
=
Can you write down the answers to these questions?
a)
1
2
of 30
15
b)
1
3
of 12
4
c)
1
8
of 24
3
d)
1
2
of 42
21
e)
1
3
of 39
13
f)
1
8
of 88
11
1
3
Can you calculate
the answers to these?
1
4
of 123
4 1
3 1 2 3
4
1
3
5
8 5
4 3 4 20
41
Answer:
of 340
Answer:
85
Now try writing down the answers to these:
2
3
6
of 18
3
8
What is
Hint: Find
of 104?
1
8
first.
of 18
1
4
12
of 24
6
3
4
of 24
18
1 3
8 1 0 24
Are you
ready for
this?
1 3
x
3 = 3 9
Answer:
I’m confident
I can use fractions in calculations.
27
39
I’m nearly there
D Putting fractions in order of size
Would you rather have
1
1
3
Answer: I would prefer
?
1
3
!
Can you label these fractions?
1
2
2
1
5
of the cake or
1
4
1
3
1
5
1
6
Can you put these fractions in order of size? Start with the smallest.
1
4
1
2
1
3
1
5
1
5
1
4
1
3
1
2
smallest
largest
What about these?
2
8
4
8
1
8
1
8
5
8
2
8
4
8
5
8
largest
smallest
3
4
Which of these fractions is less than a quarter?
1
3
or
1
5
Answer:
1
5
Which of these fractions is more than a third?
1
4
or
1
2
Answer:
1
2
Look at these number cards.
1
4
6
Can you use 2 cards to make a fraction that is smaller than
5
This picture shows
1
3
:
Now can you put these fractions
in order of size (smallest first)?
Complete this:
4
9
1
3
1
3
1
4
=
2
9
6
?
3
Brain
teaser
9
2
9
smallest
I’m confident
I can put fractions in order of size.
28
1
Answer:
2
1
3
4
9
largest
I’m nearly there
E
Equivalent fractions
2
4
is the same as
1
2
We say they are
‘equivalent’ fractions.
x3
If you multiply the top and bottom of a fraction by the
same number you get an equivalent fraction.
2
3
E.g.
=
6
9
x3
This shape is divided
into quarters ( 14 )
1
Shade in
2
1
4
c)
   n
2
 8
2
8
Shade in
2
4
=
2
6
=
3
e)
=
12
1
2
4
8
b)
1
3
d)
3
1
4
=
6
2
f)
10
2
4
=
1
2
=
1
5
1
=
2
Try to fill in the blanks.
1
2
4
1
4
Complete the following:
a)
3
What did you notice?
This shape is divided
into eighths ( 18 )
=
2
4
=
4
8
=
8
16
16
=
32
Can you find the ‘equivalent’ fractions?
3
4
=
12
16
Let’s
go!
1
3
=
11
2
5
33
I’m confident
I can recognise and find equivalent fractions.
29
=
16
40
I’m nearly there
F
Adding and subtracting fractions
1
4
1
4
1
+
1
6
=
2
2
6
+
2
6
=
4
1
=
6
3
2
=
6
3
2
6
Now try these:
7
c) 1
5
+
1
7
=
+
2
5
=
2
b) 1
7
7
3
5
d) 2
6
3
+
2
7
=
+
3
6
=
5
6
2
6
=
3
6
=
7
Then these!
2
7
OK!
1
6
1
6
a) 1
4
1
2
=
1
4
2
6
3
2
4
=
Look at the diagrams below and complete the calculations.
1
6
2
1
4
+
–
1
7
1
=
5
6
7
–
1
2
Hint: Use what you know about equivalent fractions to turn all fractions to twelfths.
1
3
2
+
=
6
12
12
+
3
12
=
5
1
3
+
=
4
12
12
3
12
I’m confident
I can add and subtract fractions.
30
+
3
12
=
6
12
=
I’m nearly there
1
2
G Solving problems with fractions
Lou’s dad’s car is
1
4
full of petrol. A full tank holds 60 litres.
How many litres of petrol does he have?
1
4
Answer:
1
Kate is reading a book with 80 pages. She has read
How many pages has she read?
1
4
2
Abdul bought 36 cans of lemonade. He drank
4
= 2 0
8 0
of the book.
3
4
÷
3 6 ÷ 4 = 9
1
4 d  9 
of the cans.
27
9
How many are left?
2
5
If you had £20 and you spent
would you have spent?
£
of it, how much
How much would you have left?
4
1
4
20
of 80 =
How many did he drink?
3
of 60 = 60 ÷ 4 = 15 litres
8
2 0
÷
5 = 4
1
5
is
£4
12
£
A pie is cut into 12 equal pieces. Jo had 4 pieces. Jude had 3 pieces.
Complete the following:
Jo had
4
12
1
=
3
1
4
Can you use your answer to complete this?
Jude had
+
1
3
=
I’m confident
I can solve problems with fractions.
31
7
3
12
=
1
4
Wow!
12
I’m nearly there
H Word questions
1
There are eighteen cows in a field. Seven are lying down.
11
18
What fraction of the cows are standing up?
What is a quarter of 80?
3
What is one sixth of forty-eight?
4
If three friends each ate an eighth of
a cake how many eighths were left?
5
Can you write down two fractions
that are the same as a quarter?
6
OK!
20
2
8
5
4 8
÷
6 = 8
4 8
÷
4 = 1 2
4 8
−
3
x
eighths
2
8
4
16
Joe bought three pairs of trainers. The trainers should
have been £48 per pair, but he got a quarter off the
price in a sale.
How much did each pair cost?
£
36
How much did he spend in total?
£
108
I’m confident
I can answer word questions about fractions.
32
1 2
= 3 6
3 6
= 1 0 8
I’m nearly there
Measurement
A
Lengths, masses and volumes
We measure masses in grams (g)
or kilograms (kg).
1 kg = 1000 g
We measure lengths in millimetres (mm)
centimetres (cm) and metres (m).
1 cm = 10 mm
1 m = 100 cm = 1000 mm
1
0 10
20
g
100
90
80
70
60 50
We measure volumes in litres (l) or millilitres (ml).
1 l = 1000 ml
0 cm
2
10
The worm is
7
g
cm
The jug contains
20
long
10
ml
of water
2000
250
g
25 g
A jug contains 50 ml of water.
How much would be left in the jug
if 12 ml was poured out?
50
ml
38
ml
Complete these:
30
200
3 cm =
2m =
5
ml
An apple weighs 50 g. How much would half the apple weigh?
3
4
50
10 cm
30
40
The apple weighs
50
5 cm
0 cm
5 cm
10 cm
mm
cm
15 cm
1l =
1
2
l=
1000
500
2 kg =
ml
1
4
ml
15
How long is the pencil?
kg =
cm
How long would the pencil be in millimetres if it was twice as long?
6
If 2 litres of water was poured equally into 8
glasses how much water would be in each glass?
Give your answer in millilitres (ml).
250
ml
Go!
I can measure and compare lengths, masses and volumes.
33
g
I’m confident
300
mm
2 5 0
8 2 0 40 0
I’m nearly there
B
5 cm
Perimeters
The perimeter of this rectangle is
4 cm
4 cm
The perimeter is the
distance around the
outside edges of a shape.
4 cm + 5 cm + 4 cm + 5 cm = 18 cm
5 cm
1
What is the perimeter of this rectangle?
15 cm
10 cm
10 cm
10
10 cm + 15 cm +
15
+
cm
cm
50
=
cm
15 cm
What is the perimeter of this triangle?
5c
m
3 cm
2
12
cm
4 cm
3
Find the perimeters of these shapes.
3 cm
mm
6 cm
48
24
4 cm
16 mm
16 mm
8 mm
8 mm
4
2 cm
3 cm
cm
6 cm
2 m
A square has a perimeter of 8 cm. Use a ruler to draw
the square at the right size.
2 m
Write the length on each side.
2 m
Bring
it on!
2 m
Three squares, each with a perimeter of 8 cm, are put together like this
a rectangle.
What is the perimeter of the rectangle?
16
cm
I’m confident
I can measure the perimeter of a shape.
34
to make
I’m nearly there
C
Money calculations
A concert ticket costs £8. How much would 6 tickets cost?
1
2
bread
90 p
milk
70 p
biscuits
50 p
Answer: 6 x £8 =
£48
Here is Fred’s shopping receipt. How
much did he spend?
p
210
Can you write your answer in £s?
£
2.. 10
Sadie spent £6.24 on magazines. She gave the shopkeeper
a £10 note.
Imagine you are the shopkeeper. How many of each coin
would you give Sadie for her change?
1
1
1
1
How much change did she get?
3
On a café menu the
drink prices are:
1
£
3.. 76
tea
£1.20
coffee
£1.45
hot chocolate
£1.58
a) How much would it cost for 1 tea and 1 coffee?
£
How much change would you get from a £5 note?
4
2.. 65
£ 2.. 35
40
p
£
4
−
9
1
5.0 0
2.6 5
2.3 5
1 .2 0
x
8
9.6 0
Mr and Mrs Happy spent £72 per month on petrol.
How much would they spend in 8 months?
1 .2 0
+ 1 .4 5
2.6 5
8
b) How many teas could you buy with £10?
How much change would you get?
1
No
way!
576
I’m confident
I can do calculations with amounts of money.
35
7 2
x
8
5 71 6
I’m nearly there
D Telling the time
1
12-hour clock
2
8
4
3
6
8.. 30
4
is
08:30
1.00 pm
is
13:00
4.00 pm
is
16:00
11 12 1
10
9
7
3
8.30 am
What time is it? Write the answers in numbers.
11 12 1
2
24-hour clock
5
2
8
4
3
7
9
am
XI XII I
10
9
6
5
II
VIII
VII
IV
III
V
VI
9.. 10
o’clock
11 12 1
X
IX
10
9
2
8
4
3
7
6
5
9.. 45
pm
pm
Can you write these times using the 12-hour clock?
15:10
14:38
15:47
18:05
20:16
3 . 1 0 pm
2.. 38 m
3.. 47 m
6.. 05 m
8.. 16 m
How many seconds are there in 1 minute?
60
seconds
How many seconds are there in 3 minutes?
180
seconds
How many days are there in each month?
February
March
May
July
September
November
29
31
31
31
30
30
in a leap year
5
Can you calculate the number
of seconds in 15 minutes?
900
seconds
How many seconds are there
in 1 hour?
3600
I’m
ready!
6 0
6 0
x
x
1 0 = 6 0 0
= 3 0 0
5
6 0
x
6 0 = 3 6 0 0
seconds
I can use the 12-hour clock and the 24-hour clock. I know that time
is measured in seconds, minutes, hours, days, months and years.
36
I’m confident
I’m nearly there
E
Problem solving
start
If a film lasts for 2 hours
15 minutes and starts at 6 pm,
at what time does it finish?
6 pm
finish
6.15
6.30
6.45
7 pm
7.15
7.30
7.45
8 pm
8.15
8.30
8.45
9 pm
Answer: 8:15 pm
1
7
2
9 10 11 12 1 2 3 4
hours
Tom arrived at the bus stop at 3.10 pm. The next bus was
due at twenty to four. How long did he have to wait?
3 . 1 0 m
3 . 4 0 m
BUS
STOP
30
3
7 
Milly starts school at 9.00 am. She leaves at 4.00 pm.
How long is Milly at school?
mins
It takes 30 minutes to cook a meal, 40 minutes to eat it
and 15 minutes to clear up. How long is this altogether?
Write your answer in hours and minutes.
o
8 5 
1 r 2 5 
1 r 25 
4
9 
A café is open from 8.00 am to 5.00 pm
seven days a week.
8 m 9 10 11 12 1 2 3 4 5 m
For how many hours is it open in one week?
63
5
hours
9
x
A plane left the UK at 2.00 pm. It landed in America 8 hours later.
The time in America was 5 hours behind the time in the UK.
At what time did the plane land in American time?
7 = 6 3
1 0 m UK 
5 m n Aa
Tricky!
5
pm
I can use what I know about time to solve problems.
37
I’m confident
I’m nearly there
F
1
Word questions
A bottle had 350 millilitres of water in it.
If 200 ml was poured into a cup, how much
water was left in the bottle?
3
What is 100 g less than half a kilogram?
4
What is 300 millimetres in centimetres?
30 m
5
If the length of a square’s sides is 8 cm,
what is the perimeter of a square?
32 m
6
A driveway is three metres wide and
eight metres long. What is the
perimeter of the driveway?
400 g
Susie took a £10 note to the bank and asked
for it to be changed into 20p coins.
How many 20p coins did she get?
−
1 0 0
= 4 0 0
8 + 8 + 3 + 3
= 2 2
22 m
8
5 0 0
2 0 0
= 1 5 0
2000 l
How many millilitres are there in two litres?
How much would it cost to buy eight bags of
crisps if each bag costs 50p?
−
150 l
2
7
3 5 0
8 x 5 0
= 4 0 0
£4.. 00
1 0 0 0
Wow!
50
I’m confident
I can answer word questions about measurement.
38
2 0
= 5 0
÷
I’m nearly there
Geometry
perpendicular lines
A
parallel lines
right angle (a quarter turn)
1
Can you name these shapes?
irregular
n
2
n
n
n
Try drawing these:
a square
3
n
irregular
a rectangle
11 12 1
2
10
9
3
8
4
7
6
5
a parallelogram
a rhombus
What time will it be when the long hand has moved
through a right angle clockwise? (a quarter turn)
9.. 15 m
How many right angles will the long hand have turned through
by half past 9?
2
4
How many right angles will it have turned through by 10 o’clock? (a full turn)
4
Look at these shapes. Mark any pairs of parallel lines on the diagrams. The first is done for you.
5
A rectangle has 4 sides. Opposite sides are the same length and parallel to each other.
All the angles inside are right angles. Now, try to describe a parallelogram.
Phew!
O  e   h d l o h r. T 
t e  o h r e   ize.
I’m confident
I can describe some 2D shapes.
39
I’m nearly there
B
3D shapes
What is this called?
1
Answer: a cone
Can you complete the table below?
C
A
F
H
D
E
Shape
Edges
Faces
Vertices
A
cube
12
6
8
B
r m
d
9
12
8
6
5
6
5
4
6
8
5
4
C
G
B
D
square based pyramid
E
triangular based pyramid
F
G

r
H
sphere
Don’t worry about
edges, faces and vertices
for these three shapes!
Sarah glued a square-based pyramid on to a cube like this.
2
How many faces did her new 3D shape have?
9
9
How many vertices?
Can you think of a name for her strange shape? Try making up a name.
 
Ouch!
I’m confident
I can recognise 3D shapes and describe them.
40
I’m nearly there
C
1
Word questions
Zac drew a hexagon, a pentagon and a rectangle. He counted the sides on all three shapes and said
there were 17. Can you explain why this is wrong?
A n  6 , a n  5  d a   4 .
T  15  r.
2
Sally said she could put four equilateral triangles together to make one parallelogram. Can you?
3
If you draw a triangle and one of the angles is a right angle, what type of triangle would it be?
a t-d 
4
Starting at 3.30 pm, the minute hand of a clock turned through 5 right angles.
What time was it then?
4 . 45 m
Wow!
5
Explain in your own words how you would know if two lines were parallel.
Pl  e     t . Ty r t r
r r r t .
I’m confident
I can answer word questions about geometry.
41
I’m nearly there
Statistics
A
A bar chart to show how many
shapes there are in a box.
Bar charts and tables
6
5
4
3
2
1
triangle square
Mo counted all the fruit in a fruit bowl.
He made this table.
Fruit
apples
plums
pears
oranges
Can you complete this bar chart
to show how much fruit there is?
10
How many
How many
1
circle
6
4
2
8
0
apples
How many pieces of fruit were there in the bowl?
20
How many more oranges than plums were there?
4
pears
oranges
Look at this bar chart of Class 1’s favourite vegetables. Can you complete the table?
Number of pupils
2
plums
10
5
0
carrots
peas sprouts cabbage
Favourite
Vegetable
Tally
No. of pupils
carrots
IIII IIII II
12



IIII II
I
IIII
7
1
5
25

5
4
How many people were in the class?
Which vegetable was the pupils’ favourite?
How many pupils chose cabbage?
How many fewer than this chose sprouts?
I can draw bar charts and tables and get information from them.
42
I’m confident
Phew!
I’m nearly there
B
1
Pictograms
On a visit to a farm, Sarah kept a tally of all the animals she saw.
Animal
Wow!
Tally
pig
IIII IIII IIII
cow
IIII IIII II
sheep
IIII II
goat
III
Her teacher asked her to make a pictogram to show this information. She started to design this key.
Can you finish it and complete the pictogram?
Key
Pictogram
Animal
=
Number of each animal
5 animals
pig
=
4 animals
=
3 animals
=
2 animals
=
1 animal
w
sheep
t
g
Which animal did Sarah see the most of?
How many of these did she see?
15
How many more cows than sheep did she see?
5
How many fewer goats than pigs did she see?
12
I’m confident
I can make pictograms.
43
I’m nearly there
C
1
Word questions
A sports team wanted to pick a new team colour for their kit. Eight of them wanted blue, six wanted
red and 4 wanted yellow.
Can you draw a bar chart to show this information? Give it a title and some labels.
A r t o w   r a w m r
Nr of 
Title:
8
7
6
5
4
3
2
1

d
w
Cr
2
Look at this picture.
Can you count the number of each creature in the picture and produce a tally chart?
Creature
Tally
Number
g
y
l

IIII II
IIII
IIII I
IIII
7
4
6
5
I’m confident
I can answer word questions about statistics.
44
OK!
I’m nearly there
Appendix Information for Parents
By the end of Year 3, children are expected to know the facts in this section. Parents can help by regularly
asking questions to test their children’s ability to recall these facts.
A little and often is the best approach and it is an activity that can always be done on journeys or during any
spare five minutes.
A
Number bonds to 20
Children need to know all the pairs of numbers that add up to each number from 1 to 20.
For example, the number bonds to 13 are:
1 + 12 = 13
5 + 8 = 13
2 + 11 = 13
6 + 7 = 13
3 + 10 = 13
4 + 9 = 13
They also need to know the related subtraction facts.
13 – 1 = 12
13 – 12 = 1
13 – 2 = 11
13 – 11 = 2 etc.
It is OK to choose “number bonds to 12” and then get your child to answer 5 when you say 7.
However, questions can be asked in other ways. It is important to use a range of vocabulary.
E.g.
What do you need to add to 5 to get 13?
What is 13 take away 2?
What is 7 less than 13?
How many more than 4 is 13?
What is the difference between 13 and 9?
45
B
The 3, 4 and 8 times tables
0
1
2
3
4
5
6
7
8
9
10
11
12
x
x
x
x
x
x
x
x
x
x
x
x
x
3
3
3
3
3
3
3
3
3
3
3
3
3
=
=
=
=
=
=
=
=
=
=
=
=
=
0
3
6
9
12
15
18
21
24
27
30
33
36
0
1
2
3
4
5
6
7
8
9
10
11
12
x
x
x
x
x
x
x
x
x
x
x
x
x
4
4
4
4
4
4
4
4
4
4
4
4
4
=
=
=
=
=
=
=
=
=
=
=
=
=
0
4
8
12
16
20
24
28
32
36
40
44
48
0
1
2
3
4
5
6
7
8
9
10
11
12
x
x
x
x
x
x
x
x
x
x
x
x
x
8
8
8
8
8
8
8
8
8
8
8
8
8
=
=
=
=
=
=
=
=
=
=
=
=
=
0
8
16
24
32
40
48
56
64
72
80
88
96
3
3
3
3
3
3
3
3
3
3
3
3
3
x
x
x
x
x
x
x
x
x
x
x
x
x
0
1
2
3
4
5
6
7
8
9
10
11
12
=
=
=
=
=
=
=
=
=
=
=
=
=
0
3
6
9
12
15
18
21
24
27
30
33
36
4
4
4
4
4
4
4
4
4
4
4
4
4
x
x
x
x
x
x
x
x
x
x
x
x
x
0
1
2
3
4
5
6
7
8
9
10
11
12
=
=
=
=
=
=
=
=
=
=
=
=
=
0
4
8
12
16
20
24
28
32
36
40
44
48
8
8
8
8
8
8
8
8
8
8
8
8
8
x
x
x
x
x
x
x
x
x
x
x
x
x
0
1
2
3
4
5
6
7
8
9
10
11
12
=
=
=
=
=
=
=
=
=
=
=
=
=
0
8
16
24
32
40
48
56
64
72
80
88
96
Children should already know the 2, 5 and 10 times tables reasonably well but, if not, start with these
before progressing to the 3, 4 and then 8 times tables.
Division facts related to times tables
Children also need to know the division facts for each times table
(shown for 3 times table only).
3
6
9
12
15
18
21
24
27
30
33
36
÷
÷
÷
÷
÷
÷
÷
÷
÷
÷
÷
÷
3
3
3
3
3
3
3
3
3
3
3
3
=
=
=
=
=
=
=
=
=
=
=
=
1
2
3
4
5
6
7
8
9
10
11
12
3
6
9
12
15
18
21
24
27
30
33
36
÷
÷
÷
÷
÷
÷
÷
÷
÷
÷
÷
÷
1
2
3
4
5
6
7
8
9
10
11
12
46
=
=
=
=
=
=
=
=
=
=
=
=
3
3
3
3
3
3
3
3
3
3
3
3
Again, try to use a range of
vocabulary when asking questions.
E.g.
What is 3 multiplied by 8?
What is 8 times 3?
What is 24 divided by 3?
What is
1
3
of 33?
C
Facts about time
There are:
60 seconds in a minute
60 minutes in an hour
24 hours in a day
7 days in a week
365 days in a year
366 days in a leap year
Number of days in each month
January
31
July
31
February
28 (29 in a leap year)
August
31
March
31
September
30
April
30
October
31
May
31
November
30
June
30
December
31
Telling the time
Children should be able to use all the following vocabulary when telling the time:
Twelve o’clock
Quarter past four
Quarter to six
Half past two
Ten to six
Five past nine
They should then go on to tell the times to the nearest minute and understand the significance
of am and pm.
E.g.
8.04 am
5.15 pm
Finally they should know how times are measured using the 24-hour clock.
E.g.
8.04 am
=
08:04
6.15 pm
=
18:15
47
Notes
48