Keystones — Capstone
Five GCSE retrieval questions · 4 October 2026 · mathsvault.uk/keystones
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1. Number Index law — powers of powers
Simplify: ((a3)3)3
Answer: a27 -
2. Algebra Quadratic nth term
Determine the nth term: 10, 22, 42, 70, ...
Answer: 4n² + 6 -
3. Geometry Equation of a circle
State the equation of a circle with centre (2, 7) and radius 4
Answer: (x - 2)² + (y - 7)² = 16 -
4. Ratio Changing a ratio
In ratio 2:1, if the second quantity is 60, what is the first?
Answer: 120 -
5. Statistics Range
Find the range of: 47, 7, -20, 18, -23
Answer: 70