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Capstone · Grades 7–9 Keystones #31 31 January 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 31 January 2026 · mathsvault.uk/keystones

  1. 1. Number Index law — powers of powers

    Simplify: ((a2)2)2

    Answer: a8
  2. 2. Algebra Quadratic nth term

    Determine the nth term: 12, 24, 44, 72, ...

    Answer: 4n² + 8
  3. 3. Geometry Equation of a circle

    State the equation of a circle with centre (8, 5) and radius 7

    Answer: (x - 8)² + (y - 5)² = 49
  4. 4. Ratio Changing a ratio

    In ratio 3:2, if the second quantity is 31, what is the first?

    Answer: 46.5
  5. 5. Statistics Range

    Find the range of: -1, 17, 27, -17, -25

    Answer: 52

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