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

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goteachmaths.co.uk Percentage of a Quantity – Complete Lesson Delete unwanted slides. To print handouts: File>Print>Print Current Slide

Percentage of a Quantity 22 February 2019 Percentage of a Quantity

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

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

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

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

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

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

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

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

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

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

$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.

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

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

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

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

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

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

$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%

A6 worksheet to print.

A5 worksheet to print.

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%

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%

A6 worksheet to print.

A5 worksheet to print.

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%

A4 worksheet to print.

A5 worksheets to print.

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

A6 worksheets to print.

A5 worksheets to print.

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% =

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

A6 worksheets to print.

A5 worksheets to print.

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% =

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

A6 worksheets to print.

A5 worksheets to print.

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% =

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

A6 worksheets to print.

A5 worksheets to print.

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% =

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

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

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

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.

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.

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