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Capstone · Grades 7–9 Keystones #1 12 December 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 12 December 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √98

    Answer: 7√2
  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 = 12cm, b = 23cm, angle = 80°

    Answer: 135.9cm²
  4. 4. Ratio Combining two ratios

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

    Answer: 9:6:12
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 74, 83, 87, 42, 33, 61, 47, 100

    Answer: Mean = 65.9, Median = 74, Range = 67