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Percentages Quiz Illustration | Dog and Cat

What percentage of people prefer cats to dogs?

Percentages 3 (Difficult)

Percentages test precision and logic. This 11 Plus Maths quiz will help you calculate success, failure, and improvement through challenging real-world questions.

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Fascinating Fact:

If you score ninety percent on a test with twenty questions, you got eighteen right, a satisfying mix of maths and pride.

In 11 Plus Maths, percentage problems often include interpreting data, comparing results, and calculating scores or discounts. This quiz builds reasoning skills and numerical fluency, which are essential for problem-solving in exams and daily life.

Key Terms

Percentage Score: The result of dividing what you achieved by the total and multiplying by 100.
Percentage Error: A measure of how accurate a result or estimation is, expressed as a percentage.
Percentage Increase: The rise in value shown as a percentage of the original amount.

Parents can explore our 11 Plus courses and materials guide to help pupils prepare for upcoming exams.

Frequently Asked Questions (Click to see answers)

How do I work out a test score as a percentage?

Divide the number of correct answers by the total number of questions, then multiply by 100. For example, 18 out of 20 equals 90%.

What is a good way to check my percentage answers?

Estimate first. If your result seems too high or low, use rounding to double-check that your calculation is sensible and realistic.

Why are percentages used instead of fractions in tests?

Percentages make results easy to compare since everything is based on 100, which helps when analysing marks or performance levels.

Try These Related Quizzes

1 .

1,500 people were asked whether they prefer dogs or cats. 720 said “dogs”, 660 said “cats” and 120 said “neither”. What percentage of those surveyed prefer cats?

44%

33%

55%

66%

We can ignore the people who prefer dogs, or who said “neither”. All we have to do is work out what percentage of 1,500 660 is:
(660 ÷ 1,500) x 100 = (660 x 100) ÷ 1,500 = 66,000 ÷ 1,500 = 44%

2 .

What percentage of 240 is 12?

2.5%

10%

15%

(12 ÷ 240) x 100 = (12 × 100) ÷ 240 = 1,200 ÷ 240 = 5%

3 .

What percentage of 400 is 60?

1.5%

12.5%

15%

17.5%

(60 ÷ 400) × 100 = (60 × 100) ÷ 400 = 15%
Of course, you may have spotted that 400 is 4 x 100, so you could work this out more quickly by just dividing 60 by 4: 60 ÷ 4 = 15

4 .

A charity raffle sold 800 tickets for £1 each, making £800. They gave away £72 in prizes. What percentage of the money they raised went on prizes?

15%

13%

11%

We are trying to find what percentage of 800 72 is:
(72 ÷ 800) × 100 = (72 × 100) ÷ 800 = 7,200 ÷ 800 = 9%

5 .

If 20% of us are vegetarian, how many vegetarians will there be in a randomly chosen group of 40 people (approximately)?

This question asks you to reverse the usual process:
To find 20% of 40, divide by 100 then times by 20:
40 ÷ 100 = 0.4
0.4 x 20 = 8
A quicker way to find 20% is to simply divide by 5 (because 20% is the same as one-fifth)
40 ÷ 5 = 8

6 .

What percentage of 8 is 30?

27%

375%

30%

350%

(30 ÷ 8) x 100% = (30 × 100) ÷ 8 = 3,000 ÷ 8 = 375%
In ‘top-heavy’ fractions (e.g. ³⁰?₈), the percentage will be more than 100%

7 .

What percentage of 72 is 48?
(Give your answer to two decimal places)

33.33%

60%

66.66%

70%

(48 ÷ 72) x 100 = (48 × 100) ÷ 72 = 4,800 ÷ 72 = 66.66%
If you know your times tables, you might have spotted that 72 is 6 x 12 and 48 is 4 x 12. 4 is two-thirds of 6 so the percentage will be equivalent to two-thirds, i.e. 66.66%

8 .

If there are 320 cars in a car park, and 96 of them are red, what percentage of cars in the car park are not red?

30%

55%

65%

70%

(96 ÷ 320) x 100 = (96 × 100) ÷ 320 = 9,600 ÷ 320 = 30%
That is the amount of red cars, but we want to know the percentage that are not red:
100 - 30 = 70, so 70% of the cars are not red

9 .

A survey asked 8,000 people in the UK which religion they followed. 1,840 said that they had no religion. What percentage does this represent?

19%

21%

23%

25%

(1,840 ÷ 8,000) x 100 = (1,840 × 100) ÷ 8,000 = 184,000 ÷ 8,000 = 23%
Don’t be put off by large numbers – they can often be rounded down by removing any zeros, e.g. 184,000 ÷ 8,000 is the same as 184 ÷ 8

10 .

What percentage of 900 is 81?

15%

13%

11%

(81 ÷ 900) x 100 = (81 × 100) ÷ 900 = 8,100 ÷ 900 = 9%
Of course, 900 is 100 x 9, so you could work the answer out by simply dividing 81 by 9:
81 ÷ 9 = 9

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