Keystones — Capstone
Five GCSE retrieval questions · 8 March 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 3/√3
Answer: 3√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 4x² + 2x - 6
Answer: (2x - 2)(2x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 28cm, angle = 42°. Find opposite
Answer: 25.2cm -
4. Ratio Reverse percentages
A price of £875.44 includes a 24% increase. What was the price before the increase?
Answer: £706.00 -
5. Statistics Mean
The mean of 5 numbers is 34. If 4 of them are 36, 35, 46, 36, what is the missing number?
Answer: 17