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Capstone · Grades 7–9 Keystones #1 19 September 2025
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Keystones — Capstone

Five GCSE retrieval questions · 19 September 2025 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 129. What are the numbers?

    Answer: 42, 43, and 44
  2. 2. Algebra

    Factorise fully: 14x² + 14x

    Answer: 2x(7x + 7)
  3. 3. Geometry

    Adjacent = 30cm, hypotenuse = 49cm. Find the angle

    Answer: 52.2°
  4. 4. Ratio

    Simplify the ratio 6m:600cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 2 red, 3 blue and 2 green sections. Probability of landing on red?

    Answer: 27