Keystones — Capstone
Five GCSE retrieval questions · 29 July 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 4/√3
Answer: 4√3⁄3 -
2. Algebra Factorising non-monic quadratics
Factorise: 6x² + 0x - 6
Answer: (2x - 2)(3x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 23cm, angle = 52°. Find opposite
Answer: 29.4cm -
4. Ratio Reverse percentages
A price of £866.25 includes a 25% increase. What was the price before the increase?
Answer: £693.00 -
5. Statistics Mean
The mean of 5 numbers is 21. If 4 of them are 29, 32, 35, 34, what is the missing number?
Answer: -25