1. goteachmaths.co.uk Percentage of a Quantity – Complete Lesson
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2. Percentage of a Quantity
22 February 2019
Percentage of a Quantity

3. Sneaky Sam stole 50% of the money in the safe!
How much did he steal?
50 100
= 1 2
50%=
1 2 of $600
= $300
$600

4. Sneaky Sam stole 25% of the money in the safe!
How much did he steal?
25 100
= 1 4
25%=
1 4 of $400
= $100
$400

5. Sneaky Sam stole 10% of the money in the safe!
How much did he steal?
10 100
= 1 10
10%=
1 10 of $500
= $50
$500

6. Sneaky Sam stole 20% of the money in the safe!
How much did he steal?
20 100
= 2 10
= 1 5
20%=
1 5 of $300
= $60 OR
2 10 of $300
= 2 x $30
= $60
$300

7. Sneaky Sam stole 60% of the money in the safe!
How much did he steal?
60 100
= 6 10
= 3 5
60%=
3 5 of $200
= $120 OR
6 10 of $200
= 6 x $20
= $120
$200

8. Sam stole 3 bags of cash from the bank.
Each one had 10% of the money.
10%
10%
10%
=30%
$20
$20
$20
=$60
We can add percentages
to find a total percent.
$200

9. Sneaky Sam stole 40% of the money in the safe!
How much did he steal?
10%=
$60
x 4
x 4
40%=
$240
$500

10. Sneaky Sam stole 70% of the money in the safe!
How much did he steal?
10%=
$20
x 7
x 7
70%=
$140
$200

11. In the Vault…
Sam Stole… $
$400
50%
$600
25%
20%
$200
10%
$350
40%
$250
60%
$1250
$660 5%
$125 1%
$65 3%

12. In the Vault…
Sam Stole… $
$400
50%
$200
$600
25%
$150
20%
$80
10%
$20
$350
$70
40%
$240
$250
60%
$1250
$500
$660 5%
$33
$125 1%
$1.25
$65 3%
$1.95

13. $600 50% 10% 5% 65%= $300 $60 $30 =$390 Sam stole 65% in three bags.
One was 5 times the size of another.
One was half the size of another.
How much was in each bag?
50%
10% 5%
65%=
$300
$60
$30
=$390
We can add percentages to find a total percent.

14. 100%
50%
25% ÷2 ÷2
$400
$200
$100
Use these bags to find:
÷10
÷10
40%
60%
36%
18%
77%
34.5%
10% 5% ÷2
$40
$20
÷10 1% $4

15. Answers
100%
50%
25% ÷2 ÷2
$400
$200
$100
Use these bags to find:
÷10
÷10
40%
$160
60%
$240
36%
$144
18%
$72
77%
$308
34.5%
$138
10% 5% ÷2
$40
$20
÷10 1% $4

16. 100%
50%
25% ÷2 ÷2
$240
$120
$60
Use these bags to find:
÷10
÷10
60%
35%
51%
18%
9.5%
92.25%
10% 5% ÷2
$24
$12
÷10
÷10 1% ÷2
0.5%
$2.40
$1.20

17. Answers ÷2 ÷2 ÷10 ÷10 ÷2 ÷10 ÷10 ÷2 100% 50% 25% $240 $120 $60
Use these bags to find:
÷10
÷10
60%
$144
35%
$84
51%
$122.40
18%
$43.20
9.5%
$22.80
92.25%
$221.40
10% 5% ÷2
$24
$12
÷10
÷10 1% ÷2
0.5%
$2.40
$1.20

18. Complete the table. In the Vault… Sam Stole… $ 10% $60 50% $400 40%
25%
$80
15%
13%
$260
12.5%
$50
0.75%
$4.50

19. Answers Complete the table. In the Vault… Sam Stole… $ $600 10% $60
$800
50%
$400
$150
40%
$320
25%
$80
15%
$2000
13%
$260
12.5%
$50
0.75%
$4.50

20. $200 Complete the percentage connectors,
then use them to complete the table.
$200
100%
50%
25% %
Amount
70%
90%
65%
24%
87%
3.5%
89.5%
73.25%
10% 5% 1%
0.5%

21. A6 worksheet to print.

22. A5 worksheet to print.

23. Answers
Complete the percentage connectors,
then use them to complete the table.
$200
$100
$50
100%
50%
25% %
Amount
70%
$140
90%
$180
65%
$130
24%
$48
87%
$174
3.5% $7
89.5%
$179
73.25%
$146.50
$20
$10
10% 5% $2 $1 1%
0.5%

24. 150Kg Complete the percentage connectors,
then use them to complete the table.
150Kg
100%
50%
25% %
Amount
80%
75%
55%
23%
77%
16.5%
38.5%
64.25%
10% 5% 1%
0.5%

25. A6 worksheet to print.

26. A5 worksheet to print.

27. Answers 150Kg 75Kg 37.5Kg 15Kg 7.5Kg 1.5Kg 750g
Complete the percentage connectors,
then use them to complete the table..
150Kg
75Kg
37.5Kg
100%
50%
25% %
Amount
80%
120Kg
75%
112.5Kg
55%
82.5Kg
23%
34.5Kg
77%
115.5Kg
16.5%
24.75Kg
38.5%
57.75Kg
64.25%
96.375Kg
15Kg
7.5Kg
10% 5%
1.5Kg
750g 1%
0.5%

28. A4 worksheet to print.

29. A5 worksheets to print.

30. Leap Frog! 1 100% = 400 75% = 25% = 50% = 20% = 40% = 150% = 30% =
200% =
10% =
300% =
15% =
400% =
5% =

31. A6 worksheets to print.

32. A5 worksheets to print.

33. Leap
Frog!
300
100
75% =
25% =
Answers
200
50% = 80
20% =
160
40% =
600
150% =
100% = 400
234
30% =
800
200% = 40
10% =
Answers.
1200
300% = 60
15% =
1600 20
400% =
5% =

34. Leap 2 Frog! 100% = 360 75% = 25% = 50% = 20% = 40% = 150% = 30% =
200% =
10% =
300% =
15% =
400% =
5% =

35. A6 worksheets to print.

36. A5 worksheets to print.

37. Leap
Frog! 2
270 90
75% =
25% =
Answers
180
50% = 72
20% =
144
40% =
540
150% =
100% = 360
108
30% =
720
200% = 36
10% =
Answers.
1080
300% = 54
15% =
1440 18
400% =
5% =

38. Leap 3 Frog! 16.25 100% = 75% = 25% = 50% = 20% = 40% = 150% = 30% =
200% =
10% =
Answers.
300% =
15% =
400% =
5% =

39. A6 worksheets to print.

40. A5 worksheets to print.

41. Leap
Frog! 3
48.75
75% =
16.25
25% =
Answers
32.5
50% = 13
20% = 26
40% =
97.5
150% =
100% = 65
19.5
30% =
130
200% =
6.5
10% =
Answers.
195
300% =
9.75
15% =
260
3.25
400% =
5% =

42. Leap 4 Frog! 50 100% = 75% = 25% = 50% = 20% = 40% = 150% = 30% =
200% =
10% =
Answers.
300% =
15% =
400% =
5% =

43. A6 worksheets to print.

44. A5 worksheets to print.

45. Leap
Frog! 4
93.75
75% =
31.25
25% =
Answers
62.5
50% = 25
20% = 50
40% =
187.5
150% =
100% = 125
37.5
30% =
250
200% =
12.5
10% =
Answers.
375
300% =
18.75
15% =
500
6.25
400% =
5% =

48. Calculate the missing percentages and complete the grid.
100%
50%
25%
75%
10%
20% 5%
2.5%
15%
17.5%
85%
150%
115%
$80
$20
18Kg
100ml
£3.50
3Km
$3.75
4.5m
300mg
$1.40
1.36Kg

50. ½ Answers Calculate the missing percentages and complete the grid.
100%
50%
25%
75%
10%
20% 5%
2.5%
15%
17.5%
85%
150%
115%
$80
$40
$20
$60 $8
$16 $4
$12
$68
$120
$92
180Kg
90Kg
45Kg
135Kg
18Kg
36Kg
9Kg
4.5Kg
27Kg
31.5Kg
153Kg
270Kg
207Kg 2L 1L
500ml
1.5L
200ml
400ml
100ml
50ml
300ml
350ml
1.7L 3L
2.3L
£140
3Km
$150 3m 6g
1.6Kg
½ Answers

51. Answers Calculate the missing percentages and complete the grid. 100%
50%
25%
75%
10%
20% 5%
2.5%
15%
17.5%
85%
150%
115%
$80
$40
$20
$60 $8
$16 $4
$12
$68
$120
$92
180Kg
90Kg
45Kg
135Kg
18Kg
36Kg
9Kg
4.5Kg
27Kg
31.5Kg
153Kg
270Kg
207Kg 2L 1L
500ml
1.5L
200ml
400ml
100ml
50ml
300ml
350ml
1.7L 3L
2.3L
£140
£70
£35
£105
£14
£28 £7
£3.50
£21
£24.50
£119
£210
£161
3Km
1.5Km
750m
2.25Km
300m
600m
150m
75m
450m
525Km
2.55Km
4.5Km
3.45Km
$150
$75
$37.50
$112.50
$15
$30
$7.5
$3.75
$22.50
$26.25
$127.50
$225
$172.50 3m
1.5m
75cm
2.25m
30cm
60cm
15cm
75mm
45cm
22.5m
2.55m
4.5m
3.45m 6g 3g
1.5g
4.5g
600mg
1.2g
300mg
150g
900mg
1.05g
5.1g 9g
6.9g $2 $3
80c
$1.60
40c
20c
$1.20
$1.40
$6.80
$9.20
1.6Kg
800g
400g
600g
160g
320g
80g
40g
240g
280g
1.36Kg
2.4Kg
1.84Kg

52. Check your success! I can calculate 10%, 50% and 25% of a quantity.
I can calculate any integer % of a quantity.
I can calculate decimal percentages of a quantity.

53. Check your success! I can calculate 10%, 50% and 25% of a quantity.
I can calculate any integer % of a quantity.
I can calculate decimal percentages of a quantity.

54. Write a text message to a friend describing:
How to calculate
55% of $250.