Keystones — Capstone
Five GCSE retrieval questions · 29 January 2026 · mathsvault.uk/keystones
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1. Number Index law — powers of powers
Simplify: ((a2)3)3
Answer: a18 -
2. Algebra Quadratic nth term
Determine the nth term: 6, 12, 22, 36, ...
Answer: 2n² + 4 -
3. Geometry Equation of a circle
State the equation of a circle with centre (7, 7) and radius 9
Answer: (x - 7)² + (y - 7)² = 81 -
4. Ratio Changing a ratio
In ratio 4:5, if the second quantity is 50, what is the first?
Answer: 40 -
5. Statistics Range
Find the range of: -11, 20, 9, 14, -24
Answer: 44