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goteachmaths.co.uk Percentage of a Quantity – Complete Lesson

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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% =

46

47

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

49

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.

55


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