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Capstone · Grades 7–9 Keystones #1 3 October 2025
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Keystones — Capstone

Five GCSE retrieval questions · 3 October 2025 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 93. What are the numbers?

    Answer: 30, 31, and 32
  2. 2. Algebra

    Factorise fully: 8x² + 24x

    Answer: 4x(2x + 6)
  3. 3. Geometry

    Adjacent = 23cm, hypotenuse = 38cm. Find the angle

    Answer: 52.8°
  4. 4. Ratio

    Simplify the ratio 8m:800cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 5 numbers is 40. If 4 of them are 44, 20, 18, 35, what is the missing number?

    Answer: 83