1. Percentages Year 5-6 (age 9-11)

3. Percentages are fractions with a denominator of 100
Percentages are fractions with a denominator of 100. The symbol for percent is %. 74
100
0.74
74%

4. 57
100
0.57
57%

5. 30
100
0.3
30%

6. Change these decimals to percentages.
0.97 =
97%
0.05 = 5%
0.61 =
61%
0.3 =
30%
0.5 =
50%
0.09 = 9%

8. Change these fractions to percentages.42
100 30
100 =
42% =
30% 3
100 8
100 = 3% = 8%

9. To express fractions as percentages, change them to equivalent fractions with a denominator of 100.
I got 17 out of 20 on my Maths test.
What was my score as a percentage?
85% x5
1 7 17 20 85
x 5
100 8 5 3 x5

10. x5 17 20 85
= 85%
100 x5

11. To express fractions as percentages, change them to equivalent fractions with a denominator of 100.
I got 9 out of 10 on my Maths test.
What was my score as a percentage?
90%
x10 9 10 90
100
x10

12. x10 9 10 90
= 90%
100
x10

13. To express fractions as percentages, change them to equivalent fractions with a denominator of 100.
I got 3 out of 5 on my Maths test.
What was my score as a percentage?
60%
x20 2 3 5 60 5
1 0 0
100
x20

14. x20 3 5 60
= 60%
100
x20

15. What is ¼ as a percentage?
25%
x25 2 5 1 4 25 4
1 0 0 2
100
x25

16. 50% 6% 1 2 50 3 50 6 100 100 x50 x2 x50 x2 What is ½ as a percentage?

18. Write these percentages as fractions.47
100 4
100 1 25
47% =
4% = = 70
100 7 10 80
100 8 10 4 5
70% = =
80% = = =

19. Write these fractions as percentages.24
100 5
100 =
24% = 5% 8 10 80 3 25 12 = = = =
12%
80%
100
100

20. Write these percentages as decimals.
72% =
0.72 2% =
0.02
40% =
0.4
12% =
0.12

21. Write these decimals as percentages.
32% 7%
0.32 =
0.07 =
70%
10%
0.7 =
0.1 =

23. Answer as a decimal. 78
100 +
0.2 = =
0.98 1 4
95% - =
0.95 -
0.25 =
0.7
% = =
0.27

24. Answer as a percentage. 3 4 +
10% =
75% + 10% =
85% 42
100
0.92 - =
92% -
42% =
50%
0.8 – 5% =
80% - 5% =
75%

26. Find 25% of 60. 15 1 5 1 4
So we can find 25% by dividing by 4.
25% = 4
6 0 2
Find 25% of 88. 22 2 2 4
8 8

27. Find 75% of 40. 30 1 3 4
So we can find 75% by dividing by 4, then multiplying by 3.
75% = 4
4 0
10 x 3 = 30
Find 75% of 48. 36 1 2
12 x 3 = 36 4
4 8

28. Find 10% of 70. 7 1 10
So we can find 10% by dividing by 10.
10% =
70 ÷ 10 = 7
Find 10% of 130. 13
130 ÷ 10 = 13

29. Find 30% of 70. 21 3 10
So we can find 30% by dividing by 10, then multiplying by 3.
70 ÷ 10 = 7
30% =
7 x 3 = 21
Find 40% of 90. 36 4 10
90 ÷ 10 = 9
40% =
9 x 4 = 36

30. Find 50% of 24. 12 1 2
So we can find 50% by dividing by 2.
24 ÷ 2 = 12
50% =
Find 90% of 50. 45 9 10
50 ÷ 10 = 5
90% =
5 x 9 = 45

31. Find 37% of 500.
185 37
100
So we can find 37% by dividing by 100, then multiplying by 37.
37% =
3 7
500 ÷ 100 = 5
x 5
1 8 5 3

32. Find 19% of 800.
152 19
100
So we can find 19% by dividing by 100, then multiplying by 19.
19% =
1 9
800 ÷ 100 = 8
x 8
1 5 2 7

34. 12.5%
What is 1/8 as a percentage?
x12.5 1 2 . 5 8
1 0 0 2
. 0 4 1 8
12.5
100
x12.5

35. . . 33.3% 3 3 . 3 3 33.3 3 1 0 0 . 0 What is 1/3 as a percentage? 1 1