Keystones — Capstone
Five GCSE retrieval questions · 4 March 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: 8x² -4x - 12
Answer: (2x - 3)(4x + 4) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 28cm, angle = 35°. Find opposite
Answer: 19.6cm -
4. Ratio Reverse percentages
A price of £823.20 includes a 20% increase. What was the price before the increase?
Answer: £686.00 -
5. Statistics Mean
The mean of 5 numbers is 27. If 4 of them are 37, 16, 23, 49, what is the missing number?
Answer: 10