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Capstone · Grades 7–9 Keystones #27 27 January 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 27 January 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: 7, 13, 23, 37, ...

    Answer: 2n² + 5
  3. 3. Geometry Equation of a circle

    State the equation of a circle with centre (7, 8) and radius 6

    Answer: (x - 7)² + (y - 8)² = 36
  4. 4. Ratio Changing a ratio

    In ratio 3:1, if the second quantity is 50, what is the first?

    Answer: 150
  5. 5. Statistics Range

    Find the range of: 16, -8, 21, 20, -20

    Answer: 41

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