Keystones — Capstone
Five GCSE retrieval questions · 18 September 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 + 0x - 9
Answer: (2x - 3)(2x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 11cm, angle = 41°. Find opposite
Answer: 9.6cm -
4. Ratio Reverse percentages
A price of £522.45 includes a 35% increase. What was the price before the increase?
Answer: £387.00 -
5. Statistics Mean
The mean of 4 numbers is 34. If 3 of them are 50, 27, 48, what is the missing number?
Answer: 11