Keystones — Capstone
Five GCSE retrieval questions · 22 April 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 2/√3
Answer: 2√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 6x² -6x - 12
Answer: (2x - 4)(3x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 28cm, angle = 60°. Find opposite
Answer: 48.5cm -
4. Ratio Reverse percentages
A price of £696.25 includes a 25% increase. What was the price before the increase?
Answer: £557.00 -
5. Statistics Mean
The mean of 6 numbers is 36. If 5 of them are 49, 47, 47, 40, 47, what is the missing number?
Answer: -14