Keystones — Capstone
Five GCSE retrieval questions · 3 March 2026 · mathsvault.uk/keystones
-
1. Number Rationalising the denominator
Rationalise: 5/√2
Answer: 5√2⁄2 -
2. Algebra Factorising non-monic quadratics
Factorise: 12x² + 11x - 15
Answer: (4x - 3)(3x + 5) -
3. Geometry SOHCAHTOA — missing length
Adjacent = 25cm, angle = 37°. Find opposite
Answer: 18.8cm -
4. Ratio Reverse percentages
A price of £360.25 includes a 31% increase. What was the price before the increase?
Answer: £275.00 -
5. Statistics Mean
The mean of 4 numbers is 35. If 3 of them are 33, 32, 45, what is the missing number?
Answer: 30