Keystones — Capstone
Five GCSE retrieval questions · 26 January 2026 · mathsvault.uk/keystones
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1. Number Index law — powers of powers
Simplify: ((a3)2)3
Answer: a18 -
2. Algebra Quadratic nth term
Determine the nth term: 10, 19, 34, 55, ...
Answer: 3n² + 7 -
3. Geometry Equation of a circle
State the equation of a circle with centre (4, 5) and radius 5
Answer: (x - 4)² + (y - 5)² = 25 -
4. Ratio Changing a ratio
In ratio 3:4, if the second quantity is 56, what is the first?
Answer: 42 -
5. Statistics Range
Find the range of: -9, 9, 11, 31, -28
Answer: 59