Keystones — Capstone
Five GCSE retrieval questions · 24 April 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 5/√5
Answer: 5√5⁄5 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² -14x - 10
Answer: (3x - 5)(4x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 10cm, angle = 60°. Find opposite
Answer: 17.3cm -
4. Ratio Reverse percentages
A price of £563.64 includes a 32% increase. What was the price before the increase?
Answer: £427.00 -
5. Statistics Mean
The mean of 5 numbers is 40. If 4 of them are 18, 29, 37, 22, what is the missing number?
Answer: 94