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Capstone · Grades 7–9 Keystones #5 5 January 2026 Skills week 2 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 5 January 2026 · mathsvault.uk/keystones

  1. 1. Number Error intervals

    63 is rounded to the nearest integer. What is the error interval?

    Answer: 62.5 ≤ x < 63.5
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 30 and 3x - y = 23

    Answer: x = 9, y = 4
  3. 3. Geometry Distance between two points

    Find the distance between (-6, -2) and (5, 3)

    Answer: 12.08
  4. 4. Ratio Repeated percentage change

    A car worth £14,736.00 depreciates by 19% each year for 4 years. What is it worth after 4 years?

    Answer: £6,343.36
  5. 5. Statistics Expected frequency

    A bag has 5 red out of 11 balls. If you pick 108 times (with replacement), how many times would you expect red?

    Answer: 49.1