Keystones — Capstone
Five GCSE retrieval questions · 2 November 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 5/√3
Answer: 5√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 8x² + 16x - 10
Answer: (4x - 2)(2x + 5) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 27cm, angle = 34°. Find opposite
Answer: 18.2cm -
4. Ratio Reverse percentages
A price of £748.12 includes a 18% increase. What was the price before the increase?
Answer: £634.00 -
5. Statistics Mean
The mean of 4 numbers is 37. If 3 of them are 24, 32, 25, what is the missing number?
Answer: 67