Keystones — Capstone
Five GCSE retrieval questions · 15 September 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: 16x² -4x - 6
Answer: (4x - 3)(4x + 2) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 27cm, angle = 56°. Find opposite
Answer: 40cm -
4. Ratio Reverse percentages
A price of £377.60 includes a 28% increase. What was the price before the increase?
Answer: £295.00 -
5. Statistics Mean
The mean of 5 numbers is 25. If 4 of them are 41, 17, 50, 38, what is the missing number?
Answer: -21