Keystones — Capstone
Five GCSE retrieval questions · 5 November 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 6/√2
Answer: 6√2⁄2 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² + 2x - 4
Answer: (4x - 2)(3x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 14cm, angle = 45°. Find opposite
Answer: 14cm -
4. Ratio Reverse percentages
A price of £273.98 includes a 33% increase. What was the price before the increase?
Answer: £206.00 -
5. Statistics Mean
The mean of 5 numbers is 28. If 4 of them are 46, 39, 31, 40, what is the missing number?
Answer: -16