Keystones — Capstone
Five GCSE retrieval questions · 11 June 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise the denominator: 1/√2
Answer: √2⁄2 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² -10x - 8
Answer: (3x - 4)(4x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 20cm, angle = 43°. Find opposite
Answer: 18.7cm -
4. Ratio Reverse percentages
A price of £811.35 includes a 35% increase. What was the price before the increase?
Answer: £601.00 -
5. Statistics Mean
The mean of 5 numbers is 22. If 4 of them are 15, 16, 20, 22, what is the missing number?
Answer: 37