Keystones — Capstone
Five GCSE retrieval questions · 1 August 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 6/√5
Answer: 6√5⁄5 -
2. Algebra Factorising non-monic quadratics
Factorise: 4x² -2x - 6
Answer: (2x - 3)(2x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 30cm, angle = 31°. Find opposite
Answer: 18cm -
4. Ratio Reverse percentages
A price of £414.80 includes a 22% increase. What was the price before the increase?
Answer: £340.00 -
5. Statistics Mean
The mean of 4 numbers is 40. If 3 of them are 26, 16, 36, what is the missing number?
Answer: 82