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Capstone · Grades 7–9 Keystones #11 11 January 2026 Skills week 2 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 11 January 2026 · mathsvault.uk/keystones

  1. 1. Number Error intervals

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

    Answer: 52.5 ≤ x < 53.5
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 30 and 3x - y = 12

    Answer: x = 6, y = 6
  3. 3. Geometry Distance between two points

    Find the distance between (-7, -1) and (4, 8)

    Answer: 14.21
  4. 4. Ratio Repeated percentage change

    A car worth £11,362.00 depreciates by 20% each year for 5 years. What is it worth after 5 years?

    Answer: £3,723.10
  5. 5. Statistics Expected frequency

    A bag has 4 red out of 14 balls. If you pick 67 times (with replacement), how many times would you expect red?

    Answer: 19.1