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Capstone · Grades 7–9 Keystones #1 4 March 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 4 March 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra Completing the square

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 12cm, b = 27cm, angle = 63°

    Answer: 144.3cm²
  4. 4. Ratio Combining two ratios

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

    Answer: 3:2:4
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 48, 50, 51, 66, 62, 42, 28, 95

    Answer: Mean = 55.3, Median = 51, Range = 67