Keystones — Capstone
Five GCSE retrieval questions · 14 June 2026 · mathsvault.uk/keystones
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1. Number Rationalising the denominator
Rationalise: 3/√2
Answer: 3√2⁄2 -
2. Algebra Factorising non-monic quadratics
Factorise: 8x² -2x - 6
Answer: (2x - 2)(4x + 3) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 30cm, angle = 33°. Find opposite
Answer: 19.5cm -
4. Ratio Reverse percentages
A price of £780.30 includes a 35% increase. What was the price before the increase?
Answer: £578.00 -
5. Statistics Mean
The mean of 6 numbers is 31. If 5 of them are 37, 45, 46, 17, 32, what is the missing number?
Answer: 9