Keystones — Capstone
Five GCSE retrieval questions · 21 April 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 3/√2
Answer: 3√2⁄2 -
2. Algebra Factorising non-monic quadratics
Factorise: 6x² -5x - 6
Answer: (2x - 3)(3x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 30cm, angle = 36°. Find opposite
Answer: 21.8cm -
4. Ratio Reverse percentages
A price of £345.00 includes a 25% increase. What was the price before the increase?
Answer: £276.00 -
5. Statistics Mean
The mean of 4 numbers is 32. If 3 of them are 21, 25, 16, what is the missing number?
Answer: 66