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Capstone · Grades 7–9 Keystones #148 28 May 2026 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 28 May 2026 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra Completing the square

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 22cm, b = 27cm, angle = 68°

    Answer: 275.4cm²
  4. 4. Ratio Combining two ratios

    a:b is 3:4 and b:c is 1:2. Find a:b:c.

    Answer: 9:12:24
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 47, 48, 96, 46, 58, 38, 51, 62

    Answer: Mean = 55.8, Median = 51, Range = 58