Keystones — Capstone
Five GCSE retrieval questions · 6 November 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 4/√3
Answer: 4√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 4x² + 6x - 10
Answer: (2x - 2)(2x + 5) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 23cm, angle = 30°. Find opposite
Answer: 13.3cm -
4. Ratio Reverse percentages
A price of £333.20 includes a 19% increase. What was the price before the increase?
Answer: £280.00 -
5. Statistics Mean
The mean of 4 numbers is 40. If 3 of them are 22, 50, 35, what is the missing number?
Answer: 53