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

Five GCSE retrieval questions · 7 January 2026 · mathsvault.uk/keystones

  1. 1. Number Error intervals

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

    Answer: 53.5 ≤ x < 54.5
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 33 and 3x - y = 22

    Answer: x = 9, y = 5
  3. 3. Geometry Distance between two points

    Find the distance between (-1, 1) and (6, 5)

    Answer: 8.06
  4. 4. Ratio Repeated percentage change

    A car worth £9,986.00 depreciates by 19% each year for 3 years. What is it worth after 3 years?

    Answer: £5,306.97
  5. 5. Statistics Expected frequency

    A bag has 5 red out of 9 balls. If you pick 128 times (with replacement), how many times would you expect red?

    Answer: 71.1