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Capstone · Grades 7–9 Keystones #1 16 June 2026
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Keystones — Capstone

Five GCSE retrieval questions · 16 June 2026 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 102. What are the numbers?

    Answer: 33, 34, and 35
  2. 2. Algebra

    Factorise fully: 10x² + 15x

    Answer: 5x(2x + 3)
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 47cm. Find the angle

    Answer: 50.3°
  4. 4. Ratio

    Simplify the ratio 7m:700cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 6 numbers is 31. If 5 of them are 33, 40, 50, 24, 17, what is the missing number?

    Answer: 22