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Maths Quiz - Percentages 3 (Medium) (Questions)

Percentages can rise or fall, and understanding them helps you spot changes in prices, results, or profits. This 11 Plus Maths quiz will test your number sense.

Explore the Topic →
(quiz starts below)

Fascinating Fact:

A fall of one hundred percent means something has disappeared completely, a very bad day for profits and ice cream cones.

In 11 Plus Maths, percentages help pupils calculate increases and decreases in quantities such as money, scores, and measurements. Learning how to use percentages accurately prepares students for real-world applications like finance and science.

Key Terms

  • Percentage Change: How much a value increases or decreases, shown as a percentage.
  • Profit and Loss: A percentage showing how much money is gained or lost compared to the original amount.
  • Base Value: The original number used to calculate a percentage increase or decrease.

Parents can read more in our 11 Plus courses and materials guide for extra preparation tips.

Frequently Asked Questions (Click to see answers)

How do you calculate a percentage increase or decrease?

Find the difference between the new and original values, divide by the original value, and multiply by 100 to get the percentage change.

Can percentages go above 100?

Yes. A percentage above 100 means the value has more than doubled, such as a 150% profit meaning one and a half times the original amount gained.

What does a negative percentage mean?

A negative percentage shows a decrease or loss, like prices falling by 20% or profits dropping below the original level.

Try These Related Quizzes

1. What is 90% of 1,000?
[ ] 900
[ ] 990
[ ] 910
[ ] 999
2. What is 5% of 5% of 200?
[ ] 5
[ ] 0.5
[ ] 10
[ ] 2
3. What is 40% of 19?
[ ] 9.2
[ ] 8.4
[ ] 7.6
[ ] 6.8
4. Brandon’s business makes a 20% profit. He spent £5,000 on his business, so how much were his profits worth?
[ ] £6,000
[ ] £2,500
[ ] £500
[ ] £1,000
5. What is 27% of 95?
[ ] 25.65
[ ] 26.55
[ ] 26.65
[ ] 27
6. Stuart has 64 marbles but loses 25% of them. How many marbles does he have now?
[ ] 16
[ ] 48
[ ] 18
[ ] 50
7. What is 7.5% of 90?
[ ] 5.75
[ ] 6
[ ] 6.75
[ ] 7
8. Michael’s house was worth £205,000 when he bought it last year. Since then its value has increased by 3%. How much is Michael’s house worth now?
[ ] £208,000
[ ] £209,500
[ ] £210,250
[ ] £211,150
9. In a general election, 31 million people voted. If 40% voted for the Blue Party, how many people did not vote for the Blue Party?
[ ] 12.4 million
[ ] 60%
[ ] 18.6 million
[ ] 40%
10. What is 32.5% of 120?
[ ] 35
[ ] 37
[ ] 39
[ ] 41
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Maths Quiz - Percentages 3 (Medium) (Answers)
1. What is 90% of 1,000?
[x] 900
[ ] 990
[ ] 910
[ ] 999
90% of 100 is 90, so 90% of 1,000 will be 900. Just times by 10
2. What is 5% of 5% of 200?
[ ] 5
[x] 0.5
[ ] 10
[ ] 2
5% of 200 = 10
5% of 10 = 0.5
3. What is 40% of 19?
[ ] 9.2
[ ] 8.4
[x] 7.6
[ ] 6.8
19 ÷ 100 = 0.19
0.19 x 40 = 7.6
4. Brandon’s business makes a 20% profit. He spent £5,000 on his business, so how much were his profits worth?
[ ] £6,000
[ ] £2,500
[ ] £500
[x] £1,000
To find this answer we need to know what 20% of £5,000 is:
5,000 ÷ 100 = 50
50 x 20 = 1,000. Brandon made £1,000 in profits
5. What is 27% of 95?
[x] 25.65
[ ] 26.55
[ ] 26.65
[ ] 27
27% of 95 = (27 ÷ 100) × 95 = (27 × 95) ÷ 100 = 25.65.
DON'T forget: when you divide by 100, move the digits two places to the right
6. Stuart has 64 marbles but loses 25% of them. How many marbles does he have now?
[ ] 16
[x] 48
[ ] 18
[ ] 50
25% of 64 = (25 ÷ 100) × 64 = (25 × 64) ÷ 100 = 16
Now we must subtract 16 from 64 to find the answer: 64 - 16 = 48
7. What is 7.5% of 90?
[ ] 5.75
[ ] 6
[x] 6.75
[ ] 7
7.5% of 90 = (7.5 ÷ 100) × 90 = (7.5 × 90) ÷ 100 = 6.75
8. Michael’s house was worth £205,000 when he bought it last year. Since then its value has increased by 3%. How much is Michael’s house worth now?
[ ] £208,000
[ ] £209,500
[ ] £210,250
[x] £211,150
3% of £205,000 = (3 ÷ 100) × 205,000 = (3 × 205,000) ÷ 100 = £6,150
This is the amount that Michael’s house value has increased by. So, Michael’s house is now worth £205,000 + £6,150
£205,000 + £6,150 = £211,150
9. In a general election, 31 million people voted. If 40% voted for the Blue Party, how many people did not vote for the Blue Party?
[ ] 12.4 million
[ ] 60%
[x] 18.6 million
[ ] 40%
40% of 31 million = (40 ÷ 100) × 31 million = (40 × 31 million) ÷ 100 = 12.4 million.
That’s how many people voted for the Blue Party. To work out how many did not vote for the Blue party, you need to subtract 12.4 million from 31 million:
31 - 12.4 = 18.6 so, 18.6 million people did not vote for the Blue Party - that's 60% of the voters, but you were asked for the number of people, not the percentage. Beware of questions like this!
10. What is 32.5% of 120?
[ ] 35
[ ] 37
[x] 39
[ ] 41
32.5% of 120 = (32.5 ÷ 100) × 120 = (32.5 × 120) ÷ 100 = 39
DON'T forget: when you divide by 100, move the digits two places to the right
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