GCSE · Percentages & growth

Percentage change and multipliersExam-style questions

Why every percentage increase or decrease is a single multiplication, how to build the multiplier, and why "percentage change" is always measured against the original amount.

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19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Two shops sell the same bicycle.
- Shop A: priced at £320, with 15% off.
- Shop B: priced at £298, with 10% off.
Work out which shop sells the bicycle more cheaply, and by how much.

You must show your working.
Level 4 · 4 marksTry it
2
A laptop has a list price of £1850. A retailer applies the following changes in order: a 20% increase for the new model year, then a 5% loyalty discount on that increased price, then 20% VAT is added.

Work out the final price. Give your answer to the nearest penny.
Level 4 · 4 marksTry it
3
In a maths exam, Aisha scored 63 out of 90 on Paper 1 and 52 out of 80 on Paper 2.

Work out her overall percentage across both papers combined. Give your answer to 1 decimal place.
Level 4 · 3 marksTry it
4
Leo bought some shares for £ $1250$ .

He later sold them for £ $1075$ .

Work out his percentage loss.
Level 4 · 2 marksTry it
5
Last year, Zara's monthly rent rose from £ $650$ to £ $702$ , and her monthly salary rose from £ $1800$ to £ $1926$ .

Did her rent or her salary rise by the greater percentage? You must show your working.
Level 4 · 3 marksTry it