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Capstone · Grades 7–9 Keystones #275 2 October 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 2 October 2026 · mathsvault.uk/keystones

  1. 1. Number Index law — powers of powers

    Simplify: ((a3)2)2

    Answer: a12
  2. 2. Algebra Quadratic nth term

    Determine the nth term: 5, 17, 37, 65, ...

    Answer: 4n² + 1
  3. 3. Geometry Equation of a circle

    State the equation of a circle with centre (3, 2) and radius 8

    Answer: (x - 3)² + (y - 2)² = 64
  4. 4. Ratio Changing a ratio

    In ratio 3:4, if the second quantity is 56, what is the first?

    Answer: 42
  5. 5. Statistics Range

    Find the range of: 26, -21, 24, 47, 41

    Answer: 68