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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.

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Fascinating Fact:

The human brain is about seventy five percent water, which means we are technically walking maths problems with legs.

In 11 Plus Maths, percentages are key to solving real-world problems like finding discounts, profit, or test results. Pupils learn how percentages connect to fractions and decimals, helping them compare quantities more effectively.

Key Terms

Percentage: A fraction of one hundred, written with the % sign, such as 25% or 50%.
Conversion: Changing between percentages, fractions, and decimals to represent the same value.
Increase/Decrease: A way of showing change as a percentage, often used in prices or population data.

Parents can explore more examples in our guide to 11 Plus sample questions.

Frequently Asked Questions (Click to see answers)

How can I find what percentage one number is of another?

Divide the smaller number by the larger one and multiply by 100. For example, 20 is 50% of 40.

Why do we learn percentages in school?

Percentages help with comparing quantities, understanding data, and managing money in real-life situations like shopping and budgeting.

Are percentages and decimals connected?

Yes. To convert a percentage to a decimal, divide by 100. For example, 75% becomes 0.75.

Try These Related Quizzes

1 .

What is 14% of 400?

14% of 400 = (14 ÷ 100) × 400 = (400 × 14) ÷ 100 = 56

2 .

What is 17% of 120?

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

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?

100% - 30% = 70%.
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

6 .

What is 17% of 93?

15.81

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

8 .

What is 10% of 10% of 100?

10% of 10% = 1%
Of course, you know that 1% of 100 = 1

9 .

What is 75% of 75?

56.25

57.5

75% of 75 = (75 ÷ 100) × 75 = (75 × 75) ÷ 100 = 56.25

10 .

What is 60% of 25?

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

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)