Keystones — Capstone
Five GCSE retrieval questions · 7 November 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: 12x² -5x - 25
Answer: (3x - 5)(4x + 5) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 27cm, angle = 42°. Find opposite
Answer: 24.3cm -
4. Ratio Reverse percentages
A price of £275.88 includes a 21% increase. What was the price before the increase?
Answer: £228.00 -
5. Statistics Mean
The mean of 5 numbers is 32. If 4 of them are 28, 41, 40, 45, what is the missing number?
Answer: 6