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Number

Percentages, Fractions & Decimals

1

Match Percentages to Fractions (A)

Draw a line from each percentage to its equivalent fraction.

50%
25%
75%
10%
1/4
1/10
1/2
3/4
2

Match Percentages to Fractions (B)

Draw a line from each percentage to its equivalent fraction.

100%
20%
33%
50%
1/2
1/3
1
1/5
3

Match Percentages to Decimals (A)

Draw a line from each percentage to its decimal.

50%
25%
10%
100%
0.10
1.00
0.50
0.25
4

Match Percentages to Decimals (B)

Draw a line from each percentage to its decimal.

75%
20%
1%
5%
0.05
0.75
0.01
0.20
5

Match All Three Forms

Draw a line to connect the percentage, fraction and decimal that are all the same value.

50%
25%
10%
75%
100%
0.25 = 1/4
1.00 = 1
0.10 = 1/10
0.50 = 1/2
0.75 = 3/4
6

Percentage Basics (A)

Circle the correct answer.

50% means...

half
a quarter
all of it

100% means...

none
half
the whole thing

25% means...

one quarter
one half
three quarters

0% means...

everything
nothing
half
7

Percentage Basics (B)

Circle the correct answer.

10% of 100 is...

1
10
100

50% of 100 is...

25
50
75

25% of 100 is...

25
50
75

75% of 100 is...

25
50
75
8

Percentage Bonds to 100%

Find the missing percentage that makes 100% altogether.

100
50
?
100
25
?
100
75
?
100
10
?
100
90
?
100
33
?
9

Sort: Less Than 50% or More Than 50%?

Sort each percentage into the correct column.

25%
75%
50%
10%
90%
33%
100%
5%
Less than 50%
Exactly 50%
More than 50%
10

Shade the Percentage

Each row has 10 objects. Count how many would be shaded for the given percentage.

?
?
?
?
11

Quick Percentage Quiz

Circle the correct answer.

What percentage is shaded if 1 out of 4 squares is coloured?

10%
25%
50%

What percentage is shaded if 7 out of 10 circles are coloured?

30%
70%
7%

What percentage is shaded if 1 out of 2 parts is coloured?

25%
50%
100%

What percentage is shaded if all parts are coloured?

50%
75%
100%
12

Which Is Equivalent? (A)

Circle the correct equivalent.

What is 20% as a fraction?

1/4
1/5
1/2

What is 0.75 as a percentage?

25%
50%
75%

What is 1/2 as a decimal?

0.12
0.50
0.25

What is 0.1 as a percentage?

1%
10%
100%
13

Which Is Equivalent? (B)

Circle the correct equivalent.

What is 3/4 as a percentage?

34%
75%
43%

What is 0.20 as a fraction?

1/2
1/5
1/20

What is 1/10 as a percentage?

1%
10%
100%

What is 50% as a decimal?

0.05
5.0
0.50
14

Fill In the Table (A)

Complete each row with the missing percentage, fraction, or decimal.

50% = ___ (fraction) = ___ (decimal)

___ (percentage) = 1/4 = ___ (decimal)

___ (percentage) = ___ (fraction) = 0.20

75% = ___ (fraction) = ___ (decimal)

___ (percentage) = 1/10 = ___ (decimal)

15

Fill In the Table (B)

Complete each row.

100% = ___ (fraction) = ___ (decimal)

___ (percentage) = 1/5 = ___ (decimal)

___ (percentage) = ___ (fraction) = 0.01

5% = ___ (fraction) = ___ (decimal)

___ (percentage) = 1/3 ≈ ___ (decimal, to 2 places)

16

Sort: Same or Different Value?

Sort each pair: do they represent the SAME value or DIFFERENT values?

1/2 and 50%
0.3 and 30%
1/4 and 40%
0.75 and 3/4
0.10 and 1%
0.5 and 5%
Same value
Different values
17

Match Fractions to Percentages

Draw a line from each fraction to the correct percentage.

1/2
1/4
3/4
1/5
1/10
10%
75%
50%
20%
25%
18

Compare Percentages and Fractions

Circle the larger value in each pair.

Which is larger?

50%
1/3

Which is larger?

25%
1/2

Which is larger?

3/4
70%

Which is larger?

1/5
25%
19

Order Percentages, Fractions and Decimals

Put these in order from smallest to largest.

25%, 0.5, 1/10 → ___, ___, ___

3/4, 50%, 0.60 → ___, ___, ___

0.1, 20%, 1/4 → ___, ___, ___

20

Percentage Pairs to 100%

If one part is given as a percentage, find the other part.

100
45
?
100
60
?
100
15
?
100
80
?
100
35
?
100
5
?
21

Quick Conversion Quiz

Circle the correct answer.

0.05 as a percentage is...

0.5%
5%
50%

1/8 is closest to...

8%
12.5%
18%

30% as a decimal is...

3.0
0.30
0.03

2/5 as a percentage is...

20%
25%
40%
22

Find the Percentage (A)

Work out each answer. Show your working.

What is 50% of 80? ___

What is 25% of 40? ___

What is 10% of 150? ___

What is 75% of 200? ___

23

Find the Percentage (B)

Work out each answer.

What is 20% of 50? ___

What is 10% of 230? ___

What is 50% of 64? ___

What is 25% of 120? ___

24

Find the Percentage (C)

Use what you know about 10% and 50% to find these.

What is 30% of 200? (Hint: find 10% first, then multiply by 3)

What is 5% of 60? (Hint: find 10% first, then halve it)

What is 15% of 80? (Hint: find 10% and 5%, then add them)

What is 90% of 300? (Hint: find 10% and subtract from 300)

25

Percentage of an Amount (Quick)

Circle the correct answer.

10% of 70 = ?

7
17
70

50% of 36 = ?

12
18
36

25% of 80 = ?

8
20
40

100% of 45 = ?

0
45
90
26

Percentage Word Problems (A)

Solve each problem.

A shirt costs $40. It is 25% off. How much do you save? How much does it cost now?

Draw here

A class has 30 students. 10% are away today. How many are present?

Draw here
27

Percentage Word Problems (B)

Solve each problem. Show your working.

A test has 50 questions. You got 75% correct. How many did you get right?

Draw here

A plant was 20 cm tall. It grew by 50%. How tall is it now?

Draw here
28

Percentage Word Problems (C)

Solve these challenging problems.

In a school of 400 students, 55% are girls. How many boys are there?

Draw here

A bike costs $250. It is on sale for 20% off. What is the sale price?

Draw here
29

Sort by Percentage Discount

A shop has different discounts. Sort items by how much you save.

10% off $50 = save $5
25% off $60 = save $15
50% off $30 = save $15
10% off $80 = save $8
25% off $20 = save $5
50% off $100 = save $50
Save less than $10
Save $10 or more
30

Which Is the Better Deal?

Circle the better deal.

A $100 item:

25% off
1/5 off

A $60 item:

50% off
1/4 off

A $80 item:

10% off
1/8 off

A $200 item:

75% off
1/2 off
31

Challenge: What Percentage?

Work out what percentage each amount is.

15 out of 50 = ___% (Hint: multiply both by 2 to get ?/100)

3 out of 10 = ___%

8 out of 20 = ___%

12 out of 50 = ___%

32

Create Your Own Percentage Problems

Make up your own percentage problems.

Write a word problem that uses 25% of an amount. Then solve it.

Draw here

Write a word problem about a percentage discount. Then solve it.

Draw here
33

Fractions to Percentages (A)

Circle the percentage.

1/2 = ?

25%
50%
75%

1/4 = ?

20%
25%
40%

3/4 = ?

50%
60%
75%

1/10 = ?

1%
10%
20%
34

Fractions to Percentages (B)

Circle the percentage.

1/5 = ?

15%
20%
25%

2/5 = ?

25%
40%
45%

3/10 = ?

3%
30%
33%

1/100 = ?

1%
10%
100%
35

Convert Between Forms (A)

Complete the table.

1/4 = 0.___ = ___%

1/2 = 0.___ = ___%

3/4 = 0.___ = ___%

1/5 = 0.___ = ___%

36

Convert Between Forms (B)

Complete.

0.5 = ___/10 = ___%

0.75 = ___/100 = ___%

0.1 = ___/10 = ___%

0.25 = ___/4 = ___%

37

Match Fraction, Decimal and Percentage

Draw a line to match all three.

1/2
1/4
3/4
1/10
1/5
0.25 = 25%
0.50 = 50%
0.10 = 10%
0.75 = 75%
0.20 = 20%
38

Percentage Bonds to 100%

What percentage is missing to make 100%?

100
25
?
100
50
?
100
75
?
100
10
?
100
40
?
100
33
?
39

Sort: Greater or Less Than 50%?

Sort each value.

1/4
3/4
0.5
0.3
7/10
2/5
1/2
0.8
Less than 50%
Equal to 50%
Greater than 50%
40

Calculate Percentages (A)

Calculate.

10% of 80 = ___

25% of 120 = ___

50% of 250 = ___

75% of 40 = ___

41

Calculate Percentages (B)

Calculate.

20% of 150 = ___

5% of 200 = ___

30% of 60 = ___

100% of 45 = ___

42

Percentage of an Amount

Circle the correct answer.

10% of $50 = ?

$5
$10
$15

25% of $80 = ?

$15
$20
$25

50% of $36 = ?

$12
$18
$24

75% of $100 = ?

$25
$50
$75
43

Percentage Word Problems (Extra)

Solve.

A class of 30 students: 40% are girls. How many girls? ___

You score 18 out of 20 on a test. What percentage? ___

A store has 25% off. Original price $60. Sale price: ___

44

Sort: Order from Smallest to Largest

Sort these values.

0.3
1/4
35%
0.5
3/8
40%
Smallest
Middle
Largest
45

Percentage Increase and Decrease

Calculate.

A $200 item increases by 10%. New price: ___

A $80 item decreases by 25%. New price: ___

A town of 500 people grows by 20%. New population: ___

46

Compare Fractions, Decimals and Percentages

Put in order from smallest to largest.

1/4, 0.3, 20%, 1/3. Order: ___

0.6, 1/2, 55%, 3/5. Order: ___

47

Percentage True or False

Circle TRUE or FALSE.

50% = 0.5 = 1/2

TRUE
FALSE

33% = exactly 1/3

TRUE
FALSE

0.1 = 10%

TRUE
FALSE

150% is impossible

TRUE
FALSE
48

Match Percentage to Description

Draw a line.

25%
50%
75%
10%
1%
One hundredth
A quarter
A tenth
Three quarters
Half
49

Percentage of a Number (B)

Find the given percentage.

60
10
?
80
25
?
120
50
?
200
75
?
40
5
?
90
30
?
50

Percentage Comparisons (B)

Circle the larger value.

30% of 90 or 25% of 120?

30% of 90 (=27)
25% of 120 (=30)

50% of 60 or 75% of 40?

50% of 60 (=30)
75% of 40 (=30) equal

10% of 200 or 100% of 19?

10% of 200 (=20)
100% of 19 (=19)

40% of 50 or 20% of 100?

40% of 50 (=20)
20% of 100 (=20) equal
51

Sort: Fraction, Decimal or Percentage?

Sort each value.

3/4
0.35
82%
0.01
1/5
67%
Fraction
Decimal
Percentage
52

Sale Prices (B)

Calculate the sale price.

A jacket costs $120. It's on sale for 30% off. Sale price: ___

A games console costs $400. A 15% discount is offered. How much do you save? ___. New price: ___

You have $75. Can you afford a $90 item at 20% off? Show your working:

53

What Percentage? (B)

Find what percentage one number is of another.

6 out of 20 students wear glasses. What percentage? ___

15 out of 60 apples are red. What percentage? ___

A team wins 9 out of 12 games. What percentage of games won? ___

54

Percentage Sequences

These represent percentages of 100. Continue each.

10
20
30
40
?
?
5
10
15
20
?
?
55

Class Survey: Favourite Sport

40 students surveyed. Each icon = 5% (2 students).

Soccer
Swimming
Cricket
Basketball
1

What percentage play soccer?

2

Total students shown?

3

Most popular sport?

4

What percentage chose swimming or cricket?

56

Shop Discount Types

Number of items in each discount bracket.

ItemTallyTotal
10% off
20% off
30% off
50% off
57

Compare Percentage Savings

Tick which saves more money.

30% off $60 vs 40% off $50 — which saves more?

vs

25% off $80 vs 20% off $100 — which saves more?

vs
58

GST and Percentages

Australia's GST is 10%.

A book costs $45 including GST. Pre-GST price: ___. GST component: ___

A laptop costs $899 + GST. Total price: ___

Why do some items not have GST? Research and explain:

59

Percentage Investigations

Explore percentages.

What percentage of a day is 6 hours? ___

You spend $24 of $80 pocket money. What percentage was spent? ___. Saved? ___

Create your own percentage problem and solve it:

60

Match Percentages, Fractions, and Decimals (B)

Match each form to its equivalent.

75%
0.6
1/5
0.125
33%
3/4
20%
60/100
1/8
0.33
61

Percentages that Add to 100 (B)

Fill in the missing percentage.

100
35
?
100
72
?
100
14
?
100
48
?
62

Is this Correct? (B)

Circle YES if correct, NO if wrong.

50% of 80 = 40

YES
NO

25% of 60 = 12

YES
NO

10% of 350 = 35

YES
NO

75% of 40 = 30

YES
NO
63

Order from Smallest to Largest (Percentages)

Put these in order from smallest to largest.

25%, 0.3, 1/3, 0.28
50%, 2/5, 0.45, 3/7
1/10, 12%, 0.15, 1/8
Smallest
Largest
64

Percentage of an Amount (C)

Calculate the percentage of each amount.

15% of 200: ___. 35% of 60: ___. 70% of 90: ___

A school has 320 students. 45% walk to school. How many walk? ___

A coat costs $120. It is reduced by 30%. New price: ___

65

Sale Prices (C)

Calculate sale prices.

A game costs $85. There is a 20% sale. Sale price: ___

A jacket is $150 with 35% off. You save: ___. Pay: ___

If a store offers 15% off then an extra 10% off, is that the same as 25% off? Show with $100:

66

Percentage Growth Sequences

Continue each sequence.

10
20
30
40
?
?
100
90
80
70
?
?
25
50
75
100
?
?
67

Percentage in Sport

Use percentages to analyse sport results.

A basketball player scored 18 out of 25 free throws. Success rate: ___%

A football team won 14 of their 20 games. Win percentage: ___

Which is better: scoring 7 out of 10 or 15 out of 22? Show using percentages:

68

Compare Percentage Amounts (B)

Which is greater?

60% of 50 = 30 vs 70% of 40 = 28 — which is greater?

vs

40% of 75 = 30 vs 50% of 55 = 27.5 — which is greater?

vs
69

Percentage of Test Scores

Tally how many students scored in each range.

ItemTallyTotal
Below 50%
50–69%
70–89%
90–100%
70

Fractions, Decimals, Percentages: Real World

Convert and use in context.

3/8 of students bring lunch. Write as decimal: ___ and percentage: ___

0.625 of a field is grass. Write as fraction: ___ and percentage: ___

A tyre is 40% worn. Write as decimal: ___ and fraction: ___. How much tread remains? ___

71

Which Form is Most Useful?

Which form would you use in each situation?

Shop discount sign: best shown as

fraction
percentage

Calculator answer: typically shown as

decimal
fraction

Recipe measurements: usually shown as

fraction
percentage

Test score of 17/20: could also be shown as

85%
0.17%
72

Increase and Decrease by a Percentage

Calculate percentage increases and decreases.

Increase $40 by 25%: new amount = ___

Decrease 80 kg by 15%: new amount = ___

A price increased from $60 to $75. Percentage increase: ___

73

Percentage Problems: Finding the Whole

Work backwards from a percentage.

25% of a number is 15. The whole number is ___

40% of a class is 12 students. Total students: ___

10% of a savings account is $85. Total savings: ___

74

Percentages on a Pie Chart

Use percentages to describe pie chart data.

A class voted for pets: 40% cats, 35% dogs, 15% fish, 10% other. Verify percentages sum to 100%: ___

In a class of 20, how many chose cats? ___ dogs? ___ fish? ___

If 5 students changed from cats to dogs, new percentages: cats=___ dogs=___

75

Home Activity: Percentage Spotter

Find percentages in everyday life!

  • 1Look for sale signs at the shops. If something is 25% off, what fraction is that? What about 50% off?
  • 2Pour a glass of water. Drink 25% of it. How much is left as a fraction and a percentage?
  • 3Score 8 out of 10 on a quiz. What percentage is that? What about 7 out of 10?
  • 4Check food labels — find the percentage of daily intake for different nutrients.
76

Trace Percentage Values (A)

Trace each number. These are common percentage values.

10
20
25
50
75
77

Match Fractions to Percentages (C)

Draw a line from each fraction to its percentage.

1/5
2/5
3/5
4/5
1/10
10%
60%
40%
80%
20%
78

Match Percentages to Decimals (C)

Match each percentage to its decimal.

15%
35%
45%
65%
85%
0.45
0.35
0.85
0.15
0.65
79

Convert Fraction to Percentage (A)

Circle the correct percentage.

3/4 = ?

34%
75%
43%

2/5 = ?

25%
40%
52%

7/10 = ?

17%
71%
70%

3/20 = ?

15%
23%
30%
80

Convert Percentage to Fraction (A)

Circle the correct simplified fraction.

60% = ?

6/10
3/5
60/100

80% = ?

8/10
4/5
80/100

30% = ?

30/10
3/10
1/3

15% = ?

15/10
3/20
1/15
81

Percentage Bonds to 100 (A)

Find the missing percentage that adds up to 100.

100
35
?
100
62
?
100
17
?
100
45
?
100
88
?
100
73
?
82

Sort: Equivalent or Not? (A)

Sort each trio: are they all equivalent?

1/2, 50%, 0.5
1/4, 40%, 0.25
3/4, 75%, 0.75
1/5, 20%, 0.2
1/3, 33%, 0.33
2/5, 40%, 0.4
All equivalent
Not all equivalent
83

Percentage Sequences (A)

Fill in the missing percentages.

10
20
30
50
?
25
50
100
?
?
84

Calculate Percentages (C)

Calculate each percentage.

15% of 60 = ___

35% of 200 = ___

45% of 80 = ___

65% of 120 = ___

85

Calculate Percentages (D)

Calculate.

70% of 150 = ___

85% of 40 = ___

12% of 50 = ___

8% of 500 = ___

86

Find the Whole (A)

If a percentage of a number is given, find the whole.

25% of a number is 15. The number is ___

50% of a number is 36. The number is ___

10% of a number is 7. The number is ___

20% of a number is 14. The number is ___

87

Percentage as a Score (A)

Write each score as a percentage.

14 out of 20 = __%

9 out of 10 = __%

36 out of 50 = __%

18 out of 25 = __%

88

Percentage Increase and Decrease (B)

Calculate the new value.

A $500 TV is discounted by 20%. New price: ___

A car costs $12,000 and increases by 5%. New price: ___

A town of 2000 people grows by 15%. New population: ___

89

Which Is Greatest? (Percentages A)

Circle the greatest value.

Which is greatest?

40%
3/8
0.35

Which is greatest?

0.7
2/3
65%

Which is greatest?

1/3
30%
0.34

Which is greatest?

0.8
4/5
79%
90

Match Percentage Problems to Answers (A)

Draw a line from each problem to its answer.

10% of 80
25% of 60
50% of 44
75% of 40
30
22
8
15
91

Percentage Pie Chart Graph

Students voted for their favourite subjects. Each icon = 5 students.

Maths (30%)
Science (25%)
English (20%)
Sport (25%)
1

What percentage voted for Maths?

2

Which subject got the fewest votes?

3

What fraction chose Science?

4

How many students in total voted?

92

Sale Discount Tally

Count how many items had each discount.

ItemTallyTotal
10% off
25% off
50% off
75% off
93

Compare Fractions Decimals and Percentages (B)

Order from smallest to largest.

3/8, 0.4, 35%, 2/5. Order: ___

0.9, 7/8, 92%, 4/5. Order: ___

1/3, 0.32, 33%, 5/16. Order: ___

94

Percentage Word Problems (C)

Solve each problem.

A movie has 200 scenes. 30% are action scenes. How many action scenes are there?

In a class of 25 students, 60% passed the test. How many passed? How many did not?

95

Percentage Word Problems (D)

Solve and show working.

A $250 bicycle is on sale for 15% off. What is the sale price?

Last year 120 birds visited the park. This year there are 25% more. How many visit this year?

96

Sort: Percentage Contexts

Sort each context by whether the percentage increases or decreases the original amount.

10% discount
20% tip added
100% of original
15% price rise
50% off sale
5% tax added
Increases amount
Decreases amount
No change
97

Create Your Own Percentage Problems

Write and solve your own percentage problems.

Write a problem involving a percentage discount. Solve it.

Draw here

Write a problem involving finding a percentage of an amount. Solve it.

Draw here

What to do next

Number

Multiplying Large Numbers

Multiply large numbers by one- and two-digit numbers