Keystones — Capstone
Five GCSE retrieval questions · 2 August 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: 4x² + 2x - 6
Answer: (2x - 2)(2x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 18cm, angle = 60°. Find opposite
Answer: 31.2cm -
4. Ratio Reverse percentages
A price of £689.61 includes a 27% increase. What was the price before the increase?
Answer: £543.00 -
5. Statistics Mean
The mean of 6 numbers is 24. If 5 of them are 49, 48, 28, 30, 23, what is the missing number?
Answer: -34