Keystones — Capstone
Five GCSE retrieval questions · 12 June 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 6/√3
Answer: 6√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² -3x - 9
Answer: (3x - 3)(4x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 17cm, angle = 45°. Find opposite
Answer: 17cm -
4. Ratio Reverse percentages
A price of £462.50 includes a 25% increase. What was the price before the increase?
Answer: £370.00 -
5. Statistics Mean
The mean of 4 numbers is 28. If 3 of them are 25, 35, 26, what is the missing number?
Answer: 26