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Capstone · Grades 7–9 Keystones #14 29 June 2026
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Keystones — Capstone

Five GCSE retrieval questions · 29 June 2026 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 114. What are the numbers?

    Answer: 37, 38, and 39
  2. 2. Algebra

    Factorise fully: 15x² + 18x

    Answer: 3x(5x + 6)
  3. 3. Geometry

    Adjacent = 19cm, hypotenuse = 32cm. Find the angle

    Answer: 53.6°
  4. 4. Ratio

    Simplify the ratio 5m:500cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 6 red, 3 blue and 3 green sections. Probability of landing on red?

    Answer: 12