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Percentage change questions and answers

Percentage change =changeoriginal×100= \dfrac{\text{change}}{\text{original}} \times 100. It's an increase if the new value is bigger, and a decrease if it's smaller. Always divide by the original amount, not the new one. The same formula gives percentage profit and loss.

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

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Where percentage change comes up

GCSE (AQA, Edexcel, OCR)Foundation and Higher: solve problems involving percentage change, including percentage increase and decrease.
Cambridge IGCSE (0580)Core and Extended: calculate percentage increase or decrease, including profit and loss as a percentage.

The method

  1. Change = new − original.
  2. Percentage change = change ÷ original × 100.
  3. Profit (or loss) percentage uses the cost price as the original.
  4. Successive changes: multiply the multipliers, then compare with 1.

Percentage change 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

A price goes up from £50 to £60. What is the percentage increase?

Question 2Warm-upFoundation

A value falls from 80 to 68. What is the percentage decrease?

Exam-style

Question 3Exam-styleFoundation

A trader buys a lamp for £40 and sells it for £52. What is the percentage profit?

Question 4Exam-styleFoundation

A town's population grows from 2500 to 2800. What is the percentage increase?

Question 5Exam-styleFoundation

A phone bought for £250 is sold for £200. What is the percentage loss?

Question 6Exam-styleFoundation

A baby's mass increases from 1.2 kg to 1.5 kg. What is the percentage increase?

Challenge

Question 7ChallengeFoundation

A price rises by 10% and then falls by 10%. What is the overall percentage change?

Question 8ChallengeFoundation

A speed limit rises from 64 km/h to 80 km/h. What is the percentage increase?

Common mistakes

  • Dividing by the new value.
  • Thinking +10% then −10% gets you back to the start.
  • Giving the change itself instead of the percentage.

Stuck on one of these?

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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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