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Capstone · Grades 7–9 Keystones #26 26 January 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 26 January 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: 10, 19, 34, 55, ...

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

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

    Answer: (x - 4)² + (y - 5)² = 25
  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: -9, 9, 11, 31, -28

    Answer: 59