Keystones — Capstone
Five GCSE retrieval questions · 31 July 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 2/√2
Answer: 2√2⁄2 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² + 3x - 9
Answer: (4x - 3)(3x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 18cm, angle = 45°. Find opposite
Answer: 18cm -
4. Ratio Reverse percentages
A price of £1,057.05 includes a 35% increase. What was the price before the increase?
Answer: £783.00 -
5. Statistics Mean
The mean of 6 numbers is 31. If 5 of them are 48, 39, 37, 38, 45, what is the missing number?
Answer: -21