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Capstone · Grades 7–9 Keystones #1 4 July 2025
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Keystones — Capstone

Five GCSE retrieval questions · 4 July 2025 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 108. What are the numbers?

    Answer: 35, 36, and 37
  2. 2. Algebra

    Factorise fully: 12x² + 6x

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

    Adjacent = 19cm, hypotenuse = 39cm. Find the angle

    Answer: 60.8°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    A spinner has 4 red, 3 blue and 3 green sections. Probability of landing on red?

    Answer: 25