Year 6 Percentages 1 Find a percentage of

1 Find a percentage of a number which is a multiple of 100

7% of 500 = 35 7 100 500÷ 100=5 5 x 7=35 15% x

6% of 800 = 48 6 100 800÷ 100=8 8 x 6=48 40% x

2 Find a percentage by first dividing by 100

28% of 650 = 182 85% of 360 = 306 28 100 85 100

24% of 350 = 84 35% x 320 = 112 24 100 35 100

36% of 450 = 162 35% of 320 = 112 36 100 35 100

45% of 460 = 207 65% x 340 = 221 45 100 65 100

3 Find a percentage of a number by changing the percentage to a simplified

100% 50% 25% 20% To find 50% ÷ 2 50% 25% 20% To find

50% of 596 = 298 ÷ 50 50 =1 100 2 ÷ 50 25%

50% of 588 = 294 ÷ 50 50 =1 100 2 ÷ 50 25%

4 Find a percentage of a number by first finding 1, 5, 10 or

100% 50% 10% 10% 10% To find 10% ÷ 10 5% 5% 5% 5%

99% of 300 = 297 300 1% = 3 99% = 300 – 3

51% of 600 = 306 600 300 50% 6 50% = 300 1% =

90% of 240 = 216 240 10% 24 24 10% 24 10% 24 10%

15% of 800 = 120 1 0%= 8 0 5%= 4 0 1 5%=

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Year 6 Percentages

1 Find a percentage of a number which is a multiple of 100

7% of 500 = 35 7 100 500÷ 100=5 5 x 7=35 15% x 1000 = 150 15 1000÷ 100=10 10 x 15=150 19% of 800 = 152 19 100 800÷ 100=8 7 19 x 8 152

6% of 800 = 48 6 100 800÷ 100=8 8 x 6=48 40% x 2000 = 800 40 100 2000÷ 100= 20 20 x 40=800 37% of 500 = 185 37 100 500÷ 100=5 3 37 x 5 185

2 Find a percentage by first dividing by 100

28% of 650 = 182 85% of 360 = 306 28 100 85 100 1 4 6 5 0. ÷ 1 0 0 = 6. 5 x 28 6. 5 0 520 1300 1 8 2. 0 4 3 3 6 0. ÷ 1 0 0 = 3. 6 0 x 1 8 5 1 180 2880 3 0 6. 0

24% of 350 = 84 35% x 320 = 112 24 100 35 100 1 2 3 5 0. ÷ 1 0 0 = 3. 5 x 24 3. 5 0 140 700 8 4. 0 1 3 2 0. ÷ 1 0 0 = 3. 2 0 x 1 3 5 160 960 1 1 2. 0

36% of 450 = 162 35% of 320 = 112 36 100 35 100 1 3 4 5 0. ÷ 1 0 0 = 4. 5 0 x 1 3 6 270 1350 1 6 2. 0 1 3 2 0. ÷ 1 0 0 = 3. 2 0 x 1 3 5 160 960 1 1 2. 0

45% of 460 = 207 65% x 340 = 221 45 100 65 100 2 3 4 6 0. ÷ 1 0 0 = 4. 6 x 45 4. 6 0 1 230 1840 2 0 7. 0 2 2 3 4 0. ÷ 1 0 0 = 3. 4 0 x 1 6 5 170 2040 2 2 1. 0

3 Find a percentage of a number by changing the percentage to a simplified unit fraction

100% 50% 25% 20% To find 50% ÷ 2 50% 25% 20% To find 25% ÷ 4 To find 20% ÷ 5

50% of 596 = 298 ÷ 50 50 =1 100 2 ÷ 50 25% of 96 = 24 ÷ 25 25 =1 100 4 ÷ 25 20% of 1800 = 360 ÷ 20 20 =1 100 5 ÷ 20 298 2 519 16 24 4 916 360 5 1 830 0

50% of 588 = 294 ÷ 50 50 =1 100 2 ÷ 50 25% of 72 = 18 ÷ 25 25 =1 100 4 ÷ 25 20% of 1600 = 320 ÷ 20 20 =1 100 5 ÷ 20 294 2 5 18 8 18 4 7 32 320 5 1 610 0

4 Find a percentage of a number by first finding 1, 5, 10 or 50 percent

100% 50% 10% 10% 10% To find 10% ÷ 10 5% 5% 5% 5% 5% 50% To find 50% ÷ 2 To find 5% Halve 10% To find 1% ÷ 100

35% of 320 = 112 1 3 2 0. ÷ 1 0 0 = 3. 2 0 x 1 3 5 160 960 1 1 2. 0 320 10% 3211210% 32 32 10% 96 5% 16 112 10% 30% 5% 35% = = 32 32 x 3 = 96 32 ÷ 2 = 16 96 + 16 = 112

99% of 300 = 297 300 1% = 3 99% = 300 – 3 = 297

51% of 600 = 306 600 300 50% 6 50% = 300 1% = 6 51% = 306

90% of 240 = 216 240 10% 24 24 10% 24 10% 24 10% 216 10% = 24 90% = 240 – 24 = 216 90% = 24 x 9 = 216

15% of 800 = 120 1 0%= 8 0 5%= 4 0 1 5%= 8 0 + 4 0 99% of 900 = 891 1%= 9 9 9%= 9 0 0 – 9 55% of 400 = 220 5 0%= 2 0 0 5%= 2 0 5 5%= 2 0 0 + 2 0 70% of 380 = 266 1 0%= 3 8 7 0%= 3 8 x 7 5 38 x 7 266

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