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Capstone · Grades 7–9 Keystones #32 1 February 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 1 February 2026 · mathsvault.uk/keystones

  1. 1. Number Index law — powers of powers

    Simplify: ((a3)3)2

    Answer: a18
  2. 2. Algebra Quadratic nth term

    Determine the nth term: 11, 23, 43, 71, ...

    Answer: 4n² + 7
  3. 3. Geometry Equation of a circle

    State the equation of a circle with centre (5, 4) and radius 4

    Answer: (x - 5)² + (y - 4)² = 16
  4. 4. Ratio Changing a ratio

    In ratio 2:3, if the second quantity is 28, what is the first?

    Answer: 18.7
  5. 5. Statistics Range

    Find the range of: -11, 13, -12, 49, -18

    Answer: 67

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