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Capstone · Grades 7–9 Keystones #174 23 June 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 23 June 2026 · mathsvault.uk/keystones

  1. 1. Number Index law — powers of powers

    Simplify: ((a3)2)3

    Answer: a18
  2. 2. Algebra Quadratic nth term

    Determine the nth term: 7, 19, 39, 67, ...

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

    State the equation of a circle with centre (2, 6) and radius 9

    Answer: (x - 2)² + (y - 6)² = 81
  4. 4. Ratio Changing a ratio

    In ratio 4:3, if the second quantity is 41, what is the first?

    Answer: 54.7
  5. 5. Statistics Range

    Find the range of: 43, 17, 7, 42, -23

    Answer: 66

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