Keystones — Capstone
Five GCSE retrieval questions · 12 August 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: 8, 20, 40, 68, ...
Answer: 4n² + 4 -
3. Geometry Equation of a circle
State the equation of a circle with centre (4, 8) and radius 6
Answer: (x - 4)² + (y - 8)² = 36 -
4. Ratio Changing a ratio
In ratio 2:1, if the second quantity is 37, what is the first?
Answer: 74 -
5. Statistics Range
Find the range of: -9, 18, 27, 27, -30
Answer: 57