Keystones — Capstone
Five GCSE retrieval questions · 21 March 2026 · mathsvault.uk/keystones
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1. Number Index law — powers of powers
Simplify: ((a4)3)3
Answer: a36 -
2. Algebra Quadratic nth term
Determine the nth term: 12, 21, 36, 57, ...
Answer: 3n² + 9 -
3. Geometry Equation of a circle
State the equation of a circle with centre (7, 6) and radius 3
Answer: (x - 7)² + (y - 6)² = 9 -
4. Ratio Changing a ratio
In ratio 3:5, if the second quantity is 22, what is the first?
Answer: 13.2 -
5. Statistics Range
Find the range of: -30, 46, 11, 16, 12
Answer: 76