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Capstone · Grades 7–9 Keystones #1 26 September 2025
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Keystones — Capstone

Five GCSE retrieval questions · 26 September 2025 · mathsvault.uk/keystones

  1. 1. Number

    The sum of three consecutive numbers is 150. What are the numbers?

    Answer: 49, 50, and 51
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Adjacent = 28cm, hypotenuse = 34cm. Find the angle

    Answer: 34.6°
  4. 4. Ratio

    Simplify the ratio 3m:300cm

    Answer: 1:100
  5. 5. Statistics

    The mean of 4 numbers is 35. If 3 of them are 38, 37, 42, what is the missing number?

    Answer: 23