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0.5% is a very small fraction, worth the same as 1⁄200
Percentages 2 (Medium)
Percentages are part of everyday life, from test scores to body composition. This 11 Plus Maths quiz explores how to compare and calculate percentages confidently.
1 .
What is 14% of 400?
56
70
84
98
14% of 400 = (14 ÷ 100) × 400 = (400 × 14) ÷ 100 = 56
2 .
What is 17% of 120?
19
20.4
21.8
23.2
17% of 120 = (17 ÷ 100) × 120 = (17 × 120) ÷ 100 = 20.4. You might have had to use your calculator on this question
3 .
Sandra’s pocket money is to go up by 15%. At the moment she gets £7.50 per week. What will she get in future?
£7.65 per week
£1.13 per week
£8.63 per week
£8.75 per week
15% of £7.50 = (15 ÷ 100) × 7.5 = (15 × 7.5) ÷ 100 = 1.125
Next, you add this amount to Sandra’s pocket money: 7.5 + 1.125 = 8.625.
Don’t forget to convert your answer back into pounds and pence. In this case, you will have to round your answer up to £8.63
Next, you add this amount to Sandra’s pocket money: 7.5 + 1.125 = 8.625.
Don’t forget to convert your answer back into pounds and pence. In this case, you will have to round your answer up to £8.63
4 .
There are 30 children in a class. If 30% of them have a pet dog, how many children do not have a pet dog?
9
10
20
21
100% - 30% = 70%.
70% of 30 = (70 ÷ 100) x 30 = (70 x 30) ÷ 100 = 21
70% of 30 = (70 ÷ 100) x 30 = (70 x 30) ÷ 100 = 21
5 .
Mum’s car cost her £28,000 when she bought it three years ago. Since then, its value has decreased by 24%. How much is Mum’s car worth now?
£21,280
£6,720
£34,720
£18,280
24% of £28,000 = (24 ÷ 100) × 28,000 = (24 × 28,000) ÷ 100 = £6,720. This is the amount the car’s value has decreased by.
To work out how much the car is now worth, simply subtract 6,720 from 28,000:
28,000 – 6,720 = 21,280. Don’t forget to convert your answer back into pounds: £21,280
To work out how much the car is now worth, simply subtract 6,720 from 28,000:
28,000 – 6,720 = 21,280. Don’t forget to convert your answer back into pounds: £21,280
6 .
What is 17% of 93?
15
15.81
16
16.81
17% of 93 = (17 ÷ 100) × 93 = (17 × 93) ÷ 100 = 15.81
7 .
Last year, Susan was 138 cm tall. Since then her height has increased by 5%. How tall is Susan now?
6.9 cm
143 cm
144.9 cm
145.8 cm
5% of 138 cm = (5 ÷ 100) × 138 = (5 × 138) ÷ 100 = 6.9 cm. This is the amount Susan has grown by.
To work out Susan’s height now, simply add 6.9 to 138:
138 cm + 6.9 cm = 144.9 cm
To work out Susan’s height now, simply add 6.9 to 138:
138 cm + 6.9 cm = 144.9 cm
8 .
What is 10% of 10% of 100?
10
5
2
1
10% of 10% = 1%
Of course, you know that 1% of 100 = 1
Of course, you know that 1% of 100 = 1
9 .
What is 75% of 75?
56.25
1
50
57.5
75% of 75 = (75 ÷ 100) × 75 = (75 × 75) ÷ 100 = 56.25
10 .
What is 60% of 25?
18
15
12
21
60% of 25 = (60 ÷ 100) × 25 = (60 × 25) ÷ 100 = 15. DON'T forget: when you divide by 100, move the digits two places to the right
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