Keystones — Capstone
Five GCSE retrieval questions · 4 November 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 4/√5
Answer: 4√5⁄5 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² + x - 20
Answer: (4x - 5)(3x + 4) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 11cm, angle = 47°. Find opposite
Answer: 11.8cm -
4. Ratio Reverse percentages
A price of £462.28 includes a 27% increase. What was the price before the increase?
Answer: £364.00 -
5. Statistics Mean
The mean of 6 numbers is 37. If 5 of them are 42, 30, 37, 29, 38, what is the missing number?
Answer: 46