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Number

Halves, Quarters & Eighths

1

Which Shows a Half?

Circle the shape that is cut exactly in half.

Which shape shows half shaded?

Left half shaded
Quarter shaded
Whole shaded

Which is half of 10?

4
5
6

Which is half of 8?

3
4
5

Which is half of 20?

8
10
12
2

More Halves

Circle the correct half.

Half of 6

2
3
4

Half of 14

6
7
8

Half of 18

8
9
10

Half of 4

1
2
3
3

Match Halves

Draw a line to match each amount to its half.

Half of 6
Half of 12
Half of 16
Half of 4
2
8
3
6
4

More Halves to Match

Match each number to its half.

Half of 10
Half of 20
Half of 14
Half of 8
4
10
5
7
5

Find the Half

Split each number into two equal halves.

10
?
?
14
?
?
18
?
?
6
?
?
20
?
?
8
?
?
6

More Halves Practice

Split each number into two equal halves.

12
?
?
16
?
?
4
?
?
2
?
?
24
?
?
30
?
?
7

Half the Group

Count the objects, then write how many is half.

?
?
?
?
8

Equal Halves?

Circle YES if the shape is cut into equal halves, or NO if not.

Circle split in the middle

YES — equal halves
NO — not equal

Rectangle split off-centre

YES — equal halves
NO — not equal

Square split corner to corner

YES — equal halves
NO — not equal

Triangle split unevenly

YES — equal halves
NO — not equal
9

Draw Halves

Draw a line to cut each shape exactly in half.

Cut the rectangle in half

Draw here

Cut the circle in half

Draw here

Cut the square in half

Draw here
10

How Many Quarters?

Circle the correct answer.

How many quarters make a whole?

2
4
8

What is a quarter of 8?

2
3
4

What is a quarter of 12?

2
3
4

What is a quarter of 20?

4
5
10
11

More Quarter Questions

Circle the correct answer.

What is a quarter of 16?

3
4
5

What is a quarter of 24?

4
6
8

What is a quarter of 4?

1
2
3

How many quarters in 2 wholes?

4
6
8
12

Match Fraction Words to Pictures

Match each fraction word to the correct description.

Half
Quarter
Eighth
Whole
8 equal parts
2 equal parts
1 whole piece
4 equal parts
13

Match Numbers to Their Quarters

Match each number to a quarter of it.

Quarter of 8
Quarter of 20
Quarter of 12
Quarter of 16
4
2
3
5
14

Halved Correctly?

Sort these into the correct column.

Circle cut into 2 equal parts
Rectangle cut into 2 unequal parts
Square cut corner to corner
Triangle cut in the middle
Circle cut off-centre
Rectangle cut exactly in the middle
Halved correctly
NOT halved correctly
15

Find the Quarter

Split each number into four equal parts. Write one quarter.

8
?
?
12
?
?
16
?
?
20
?
?
24
?
?
4
?
?
16

More Quarter Practice

Find one quarter of each number.

28
?
?
32
?
?
36
?
?
40
?
?
44
?
?
100
?
?
17

Half or Quarter?

Circle the correct answer.

Which is bigger: half of 12 or quarter of 12?

Half of 12
Quarter of 12
They are equal

Half of 8 = ?

2
4
6

Quarter of 8 = ?

2
4
6

Half of 20 = ?

5
10
15
18

Draw Quarters

Draw lines to cut each shape into four equal quarters.

Cut the rectangle into 4 quarters

Draw here

Cut the circle into 4 quarters

Draw here

Cut the square into 4 quarters

Draw here
19

Understanding Eighths

Circle the correct answer.

How many eighths make a whole?

4
6
8

How many eighths make a half?

2
4
8

How many eighths make a quarter?

1
2
4

What is an eighth of 16?

2
4
8
20

More Eighths Questions

Circle the correct answer.

What is an eighth of 24?

2
3
4

What is an eighth of 8?

1
2
4

What is an eighth of 40?

4
5
8

How many eighths in 2 wholes?

8
12
16
21

Which Fraction Is Bigger?

Circle the bigger fraction.

Which is bigger?

1/2
1/4

Which is bigger?

1/4
1/8

Which is bigger?

1/2
1/8

Which is bigger?

2/4
1/4
22

More Fraction Comparisons

Circle the bigger fraction.

Which is bigger?

3/4
1/2

Which is bigger?

1/2
3/8

Which is bigger?

2/8
1/4

Which is bigger?

4/8
1/2
23

Match Equal Fractions

Match each fraction to an equal fraction.

1/2
2/4
4/8
2/8
1/4
4/8
1/2
2/4
24

Order Fractions

Put these fractions in order from smallest to largest.

?
?
?
25

Shade the Fractions

Shade the correct amount of each shape.

Shade 1/2 of the rectangle

Draw here

Shade 1/4 of the circle

Draw here

Shade 1/8 of the rectangle

Draw here

Shade 3/4 of the square

Draw here
26

Fraction Word Problems

Solve each problem.

A ribbon is 12 cm long. How long is half of it?

A pizza has 8 slices. You eat a quarter. How many slices did you eat?

A cake is cut into 8 equal pieces. How many pieces is half the cake?

27

More Fraction Word Problems

Solve each problem. Show your working.

There are 16 lollies. You share them equally among 4 friends. How many does each get?

A rope is 24 metres long. An eighth of it is cut off. How long is the piece cut off?

Half of the 20 children in the class are girls. How many boys are there?

28

Halves in Real Life

Think about cutting or sharing things in real life. Draw and write your answers.

You have a 20 cm ribbon. You cut it in half. How long is each piece?

Draw here

A water bottle holds 500 mL. You drink half. How much is left?

Draw here

A loaf of bread is 40 cm long. Dad cuts it in half for sandwiches. How long is each half?

Draw here
TipUse a real ruler or measuring tape to act out the ribbon problem. This connects fractions to measurement.
29

Quarters in Real Life

Answer these questions about sharing into quarters.

A 1-metre string is cut into 4 equal pieces. How long is each piece?

Draw here

A jug holds 1 litre (1000 mL). You pour out a quarter. How many mL did you pour?

Draw here

A pizza is cut into 4 equal slices. If you eat 1 slice, what fraction have you eaten?

Draw here
TipUse a real piece of string and a ruler to act out the string problem together.
30

Eighths in Real Life

Some things can be split into 8 equal parts. Try these.

A sandwich is cut into 8 equal squares. You eat 2 squares. What fraction is left?

Draw here

A 16 cm piece of ribbon is cut into 8 equal pieces. How long is each piece?

Draw here

Mum has a 24-piece chocolate bar. She splits it equally into 8 portions. How many pieces in each portion?

Draw here
TipFold a piece of paper in half, then in half again, then again to show eighths physically.
31

Home Activity: Fraction Fun

Explore fractions with food and everyday objects!

  • 1Cut a sandwich in half. Then cut each half in half — now you have quarters!
  • 2Cut an apple into 8 equal pieces. Each piece is one eighth.
  • 3Pour water into a cup. Can you fill it exactly half full?
  • 4Share 12 grapes equally between 4 people. Each person gets a quarter.
32

Trace Fraction Amounts

Trace these numbers that are often used as fractions.

2
4
6
8
12
16
20
24
33

Halves of Even Numbers

Find half of each even number.

22
?
?
26
?
?
34
?
?
40
?
?
50
?
?
100
?
?
34

Quarters of Numbers Divisible by 4

Find one quarter of each number.

16
?
?
20
?
?
24
?
?
28
?
?
32
?
?
36
?
?
35

Half the Objects

Count the objects. Write how many is half.

?
?
?
?
36

Quarter of the Objects

Count the objects. Write how many is a quarter.

?
?
?
×10
×10
?
37

Halving Chain

Each number is half the one before. Fill in the missing numbers.

64
32
8
4
?
80
40
10
5
?
100
50
12
?
?
38

Match Fractions to Diagrams

Match the fraction to its description.

1/2 of 20
1/4 of 20
1/8 of 20
3/4 of 20
2.5
10
5
15
39

Match Fractions to Equal Fractions

Match equivalent fractions.

2/4
4/8
1/2
2/8
1/4
1/2
2/4
4/8
40

Which Is Greater?

Circle the bigger fraction.

Which is greater: 3/8 or 1/2?

3/8
1/2
They are equal

Which is greater: 2/4 or 3/4?

2/4
3/4
They are equal

Which is greater: 1/8 or 1/4?

1/8
1/4
They are equal

Which is greater: 4/8 or 1/2?

4/8
1/2
They are equal
41

Fraction of a Set

Circle the correct answer.

There are 16 books. Half are red. How many are red?

6
7
8

There are 12 apples. A quarter are green. How many are green?

3
4
5

There are 24 eggs. An eighth broke. How many broke?

2
3
4

A bag has 20 marbles. Three-quarters are blue. How many are blue?

14
15
16
42

Sort: Equal Halves or Not?

Sort these situations.

12 shared between 2
15 shared between 2
8 apples — 4 and 4
10 stickers — 3 and 7
A square cut diagonally
A circle cut off-centre
Split into equal halves
NOT equal halves
43

Sort Fractions by Size

Sort these fractions — bigger than half or smaller than half?

3/4
1/4
5/8
1/8
3/8
7/8
Bigger than 1/2
Smaller than 1/2
44

Fraction Activity Results

Record how many students got each fraction question right.

ItemTallyTotal
Halves
Quarters
Eighths
Comparing
45

Pizza Fractions

Read the picture graph about pizza slices eaten.

1/2 pizza
1/4 pizza
1/8 pizza
Whole pizza
1

Which fraction size was eaten the most?

2

How many people ate exactly 1/4 of a pizza?

3

How many people ate pizza in total?

46

Compare Fractions of Objects

Work out and compare the fractions.

Half of 12 vs quarter of 16?

vs

Half of 10 vs quarter of 20?

vs

Half of 16 vs eighth of 24?

vs

Quarter of 36 vs half of 24?

vs
47

Fractions on a Number Line

Mark the fractions on a number line from 0 to 1.

Draw a number line and mark: 0, 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1

Draw here

What fraction is halfway between 0 and 1/2?

What fraction is halfway between 1/2 and 1?

48

Real-Life Fractions

Solve these real-life fraction problems.

A chocolate bar has 8 squares. You eat 3 squares. What fraction did you eat?

There are 20 students. Half go outside. A quarter do art. The rest read. How many read?

A jug holds 24 cups of water. You use an eighth. How many cups do you use?

49

Fraction Investigation

Investigate this: Is 2/4 the same as 1/2? Show your working.

Find half of 20: ___ Find 2/4 of 20: ___ Are they equal? ___

Find half of 16: ___ Find 2/4 of 16: ___ Are they equal? ___

What does this tell you about 1/2 and 2/4? ___

50

Ten Frame Fractions

Look at the ten frame. Write what fraction is filled.

?
?
?
?
?
51

Trace Fraction Numbers

Trace these numbers that appear in fractions.

1
2
4
8
52

Match Fractions to Pictures

Draw a line to match each fraction word to its picture description.

Half
Quarter
One eighth
Three quarters
1 of 4 equal parts shaded
6 of 8 equal parts shaded
1 of 2 equal parts shaded
1 of 8 equal parts shaded
53

Match Fractions to Amounts

Match each fraction of an amount to the correct number.

Half of 16
Quarter of 20
Eighth of 24
Three quarters of 8
3
8
5
6
54

Which Is More?

Circle the bigger fraction.

Which is more?

One half
One quarter

Which is more?

One quarter
One eighth

Which is more?

Three quarters
One half

Which is bigger?

One half
Three eighths
55

Sort Fractions: More or Less than Half?

Sort these fractions.

One quarter
One half
Three quarters
Two eighths
Five eighths
Four eighths
Less than half
Equal to half
More than half
56

Count Fractional Parts

Count the shaded parts in each group.

?
?
?
57

Compare Fractions of Objects

Circle the group that shows more.

Half of 8 or three quarters of 8?

vs

Quarter of 12 or eighth of 16?

vs

Half of 16 or three quarters of 8?

vs

Quarter of 20 or eighth of 24?

vs
58

Fraction Sequences

Fill in the missing fractions (as halves, quarters, eighths).

1
2
4
5
?
2
4
6
10
?
3
4
5
?
?
59

Fractions That Make a Whole

Complete each bond to make one whole.

2
1
?
4
1
?
4
3
?
8
1
?
8
5
?
8
7
?
60

Favourite Fraction Model

Record which fraction model students prefer.

ItemTallyTotal
Pizza (circle)
Chocolate bar (rectangle)
Apple (fruit)
Number line
61

Fraction of Students' Preferred Shapes

Read the picture graph and answer the questions.

Circle shapes
Square shapes
Triangle shapes
Star shapes
1

What fraction of shapes are circles? (out of total)

2

Which shape did half the students choose?

3

How many students were surveyed altogether?

62

Fraction Pattern — Halving

Continue the halving pattern.

?
?
?
?
?
?
?
?
?
?
?
63

Fraction Shapes

Trace these shapes. Then divide them into equal halves.

Circle0 corners
Square4 sides
Rectangle4 sides
Triangle3 sides
64

Fractions in Food

Think about fractions in everyday food.

Name two foods you can easily cut in half: ___ and ___

If you cut a pizza into 8 slices and eat 3, what fraction did you eat? ___

If you share a cake equally among 4 people, what fraction does each person get? ___

65

Fractions Challenge

Try these challenge fraction problems.

An eighth of 48 = ___ (Hint: 48 ÷ 8 = ___)

Three quarters of 32 = ___ (Hint: First find a quarter: ___)

Which is bigger: half of 50 or a quarter of 120? Show your working.

What to do next

Algebra

Increasing & Decreasing Patterns

Describe and continue patterns that increase or decrease by a constant amount