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Capstone · Grades 7–9 Keystones #1 30 June 2025
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Keystones — Capstone

Five GCSE retrieval questions · 30 June 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: 28x² + 20x

    Answer: 4x(7x + 5)
  3. 3. Geometry

    Adjacent = 16cm, hypotenuse = 22cm. Find the angle

    Answer: 43.3°
  4. 4. Ratio

    Simplify the ratio 4m:400cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 21. If 3 of them are 36, 21, 17, what is the missing number?

    Answer: 10