Keystones — Capstone
Five GCSE retrieval questions · 30 July 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 3/√3
Answer: 3√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 4x² + 2x - 12
Answer: (2x - 3)(2x + 4) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 13cm, angle = 30°. Find opposite
Answer: 7.5cm -
4. Ratio Reverse percentages
A price of £460.20 includes a 18% increase. What was the price before the increase?
Answer: £390.00 -
5. Statistics Mean
The mean of 6 numbers is 26. If 5 of them are 33, 16, 43, 27, 36, what is the missing number?
Answer: 1