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75% is exactly the same as ³⁄₄

Percentages 2 (Difficult)

Percentages are everywhere, even in pizza! This 11 Plus Maths quiz tests how to find and compare percentages in practical, funny, and real-world examples.

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(quiz starts below)

Fascinating Fact:

If a pizza is cut into one hundred slices and you eat twenty, you have eaten twenty percent of it, and probably most of the toppings too.

In 11 Plus Maths, percentages are a vital way to compare values and understand proportions. Pupils explore how to calculate percentages in shopping, cooking, and finance, learning that percentages describe parts of a whole.

Key Terms

Percentage: A number showing how much of one hundred something represents, written with the % symbol.
Fraction: A way of expressing a part of a whole, which can be converted into a percentage or decimal.
Decimal: A value that uses a point to separate whole numbers from parts, such as 0.2 being equal to 20%.

Parents can read our guide to 11 Plus sample questions for examples and tips on exam-style maths problems.

Frequently Asked Questions (Click to see answers)

How do you convert a fraction to a percentage?

Multiply the fraction by 100. For example, 1/5 × 100 = 20%, meaning one fifth equals twenty percent.

What is an easy way to estimate percentages?

Use simple fractions. For example, half is 50%, a quarter is 25%, and three quarters is 75%.

Why are percentages useful in everyday life?

They make comparisons simple, helping you understand sales, discounts, interest rates, and statistics quickly and clearly.

Try These Related Quizzes

1 .

What percentage of 300 is 15?

(15 ÷ 300) × 100% = (15 × 100) ÷ 300 = 5%

2 .

If 7 pupils in a class of 28 fail their maths test, what percentage of the class does this represent?

15%

20%

25%

33.33%

(7 ÷ 28) x 100% = (7 × 100) ÷ 28 = 25%

3 .

What percentage of 56 is 12?
(Give your answer to two decimal places)

30%

27.33%

25%

21.43%

(12 ÷ 56) x 100% = (12 × 100) ÷ 56 = 21.43%

4 .

If 2 out of 12 people have green eyes, what percentage does this represent?
(Give your answer to two decimal places)

16.66%

21.33%

26.66%

33.33%

(2 ÷ 12) x 100% = (2 × 100) ÷ 12 = 16.66%

5 .

What percentage of 16 is 72?

22.22%

450%

44.44%

400%

(72 ÷ 16) x 100% = (72 × 100) ÷ 16 = 450%.
In ‘top-heavy’ fractions (e.g. ⁷²?₁₆), the percentage will be more than 100%

6 .

What percentage of 250 is 187.5?

85%

80%

75%

70%

(187.5 ÷ 250) x 100% = (187.5 × 100) ÷ 250 = 75%.
Decimal numbers are surprisingly easy to work with – multiplying them by 100 just means moving the digits two places to the left

7 .

What percentage of 270 is 54?

27.5%

25%

22.5%

20%

(54 ÷ 270) x 100% = (54 × 100) ÷ 270 = 20%

8 .

Of the 12,500 spectators at a football match, 1,000 came to support the away team and the rest came to support the home team. What percentage of the crowd followed the home team?

92%

64%

36%

(1,000 ÷ 12,500) x 100% = (1,000 × 100) ÷ 12,500 = 8%.
This tells you the proportion of away fans. To find the proportion of home fans, simply subtract 8 from 100:
100 – 8 = 92%

9 .

If, in a survey on holiday destinations, 24 out of 1,000 people said they went to Canada for their holiday this year, what percentage does this represent?

24%

2.4%

0.24%

0.024%

To convert parts of 1,000 to percentages, simply divide by 10

10 .

A company has a workforce of 748. Of these, 68 work in the offices and the rest work on the shop floor. What percentage of the workforce work in the offices?
(Give your answer to two decimal places)

15.15%

12.12%

9.09%

6.06%

(68 ÷ 748) x 100% = (68 × 100) ÷ 748 = 9.09%

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