GCSE & IGCSE maths practice

Percentages questions and answers

A percentage is a number out of 100. The quickest method is a multiplier: to find 15% use 0.15; to increase by 20% multiply by 1.2; to decrease by 15% multiply by 0.85. To write one amount as a percentage of another, divide and multiply by 100.

8 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated 27 Oct 2026.

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Where percentages comes up

GCSE (AQA, Edexcel, OCR)	Foundation and Higher: percentages of amounts, one quantity as a percentage of another, percentage increase and decrease, and percentages over 100%.
Cambridge IGCSE (0580)	Core and Extended: calculate a percentage of a quantity, express one quantity as a percentage of another, and calculate percentage increase or decrease.

The method

x% of an amount: amount × (x ÷ 100).
Increase by x%: × (1 + x/100). Decrease by x%: × (1 − x/100).
A as a percentage of B: A ÷ B × 100.
Repeated changes: multiply the multipliers.

Percentages questions

Try each one before looking at the hint. If you're stuck, the AI tutor can talk you through it step by step.

Warm-up

Question 1Warm-upFoundation

Work out 15% of 80.

Question 2Warm-upFoundation

Increase 60 by 20%.

Exam-style

Question 3Exam-styleFoundation

A coat costs £250. Its price falls by 15%. What is the new price?

Question 4Exam-styleFoundation

A student scores 18 out of 40. What percentage is this?

Question 5Exam-styleFoundation

What decimal multiplier increases an amount by 7%?

Question 6Exam-styleFoundation

A meal costs £45 before VAT at 20%. What is the price including VAT?

Challenge

Question 7ChallengeFoundation

A £80 jacket is reduced by 25%, then the sale price is reduced by a further 10%. What is the final price?

Question 8ChallengeFoundation

Work out 120% of 65.

Common mistakes

Adding percentages for successive changes (25% off then 10% off isn't 35% off).
Using 0.15 instead of 1.15 to increase by 15%.
Dividing the wrong way round.

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Sources

The questions are our own. The “where it comes up” notes are from each board's published specification, checked on 26 October 2026:

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