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Capstone · Grades 7–9 Keystones #1 10 October 2025
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Keystones — Capstone

Five GCSE retrieval questions · 10 October 2025 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 138. What are the numbers?

    Answer: 45, 46, and 47
  2. 2. Algebra

    Factorise fully: 16x² + 16x

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

    Adjacent = 24cm, hypotenuse = 34cm. Find the angle

    Answer: 45.1°
  4. 4. Ratio

    Calculate 41.9% of 990

    Answer: 414.81
  5. 5. Statistics

    A spinner has 6 red, 6 blue and 3 green sections. Probability of landing on red?

    Answer: 25