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Percentages (Medium)

Percentages appear everywhere, from discounts in shops to ingredients in chocolate. This 11 Plus Maths quiz helps you compare values and think proportionally.

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Fascinating Fact:

Milk chocolate usually contains around thirty percent cocoa, while dark chocolate can have seventy, maths can help you choose your flavour strength.

In 11 Plus Maths, pupils learn how to calculate percentages to compare amounts, work out discounts, and understand proportions. Recognising how percentages relate to fractions and decimals is an important step in developing number fluency.

Key Terms

Percentage: A way of expressing a number as a part of one hundred, shown with the % symbol.
Proportion: A relationship showing how one amount compares to another.
Equivalent: Values that mean the same thing, such as 50%, ½, and 0.5.

Parents can learn more in our guide on what subjects are tested in the 11 Plus.

Frequently Asked Questions (Click to see answers)

How do I calculate a percentage of a number?

Multiply the number by the percentage, then divide by 100. For example, 25% of 60 is 15.

What is the difference between fractions and percentages?

A percentage is a fraction with a denominator of 100. For instance, 25% means 25 out of 100, which is the same as one quarter.

Where are percentages used in everyday life?

They are used in sales, cooking, surveys, and finance, such as discounts, recipes, and interest rates.

Try These Related Quizzes

1 .

What is 25% of 75?

0.1875

1.875

187.5

18.75

25% of 75 = ²⁵?₁₀₀ × 75 = (25 × 75) ÷ 100 = 18.75. DON'T forget: when you divide by 100, move the digits two places to the right

2 .

What is 60% of 250?

0.15

1.5

150

60% of 250 = ⁶⁰?₁₀₀ × 250 = (60 × 250) ÷ 100 = 150. DON'T forget: when you divide by 100, move the digits two places to the right

3 .

What is 40% of 18?

0.0072

0.72

7.2

40% of 18 = ⁴⁰?₁₀₀ × 18 = (40 × 18) ÷ 100 = 7.2

4 .

What is 5.5% of 100?

5.5

0.55

0.055

5.5% of 100 = ^5.5?₁₀₀ × 100 = (5.5 × 100) ÷ 100 = 5.5. You shouldn't have had to calculate anything in this question because X% of 100 = X for all values of X

5 .

What is 62.5% of 12?

7.5

0.75

0.075

62.5% of 12 = ^62.5?₁₀₀ × 12 = (62.5 × 12) ÷ 100 = 7.5

6 .

If John loses 25% of £900, how much does he lose?

£0.225

£2.25

£22.50

£225.00

25% of £90 = ²⁵?₁₀₀ × 900 = (25 × 900) ÷ 100 = £225

7 .

Peter will earn 3.2% interest on £12,500. How much money will he earn in interest?

£40.00

£4.00

£400

£4,000

3.2% of £12,500 = ^3.2?₁₀₀ × 12,500 = (3.2 × 12,500) ÷ 100 = £400

8 .

Henry is paid £42,400 per annum (per year). If he gets a 3.4% pay increase, how much will he earn now per annum?

£43,841.60

£42,841.60

£40,958.40

£1,441.60

3.4% of £42,400 = ^3.4?₁₀₀ × 42,400 = (3.4 × 42,400) ÷ 100 = £1,441.60 BUT this is only the interest. He will now earn £42,400 + £1,441.60 = £43,841.60

9 .

If 70% of the population of a country of 60,000,000 have mobile phones, what percentage don't have mobile phones?

42%

30%

18%

60%

100% - 70% = 30%. The sum of the various percentages MUST add to 100%

10 .

What is 20% of 20% of 500?

100

200

20% of 500 = ²⁰?₁₀₀ × 500 = (20 × 500) ÷ 100 = 100 AND 20% of 100 = ²⁰?₁₀₀ × 100 = (20 × 100) ÷ 100 = 20. NOTE: 20% of 20% is NOT equal to 40%. The word 'OF' means multiply!

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