Keystones — Capstone
Five GCSE retrieval questions · 10 June 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: 8x² + 4x - 4
Answer: (4x - 2)(2x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 19cm, angle = 52°. Find opposite
Answer: 24.3cm -
4. Ratio Reverse percentages
A price of £748.03 includes a 27% increase. What was the price before the increase?
Answer: £589.00 -
5. Statistics Mean
The mean of 6 numbers is 23. If 5 of them are 34, 27, 29, 26, 31, what is the missing number?
Answer: -9