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Capstone · Grades 7–9 Keystones #87 28 March 2026
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Keystones — Capstone

Five GCSE retrieval questions · 28 March 2026 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 117. What are the numbers?

    Answer: 38, 39, and 40
  2. 2. Algebra

    Factorise fully: 12x² + 21x

    Answer: 3x(4x + 7)
  3. 3. Geometry

    Adjacent = 29cm, hypotenuse = 42cm. Find the angle

    Answer: 46.3°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 37. If 4 of them are 30, 36, 17, 48, what is the missing number?

    Answer: 54