Keystones — Capstone
Five GCSE retrieval questions · 25 April 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: 8x² -10x - 25
Answer: (2x - 5)(4x + 5) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 26cm, angle = 51°. Find opposite
Answer: 32.cm -
4. Ratio Reverse percentages
A price of £543.98 includes a 18% increase. What was the price before the increase?
Answer: £461.00 -
5. Statistics Mean
The mean of 6 numbers is 40. If 5 of them are 22, 19, 49, 29, 48, what is the missing number?
Answer: 73