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Capstone · Grades 7–9 Keystones #1 11 April 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 11 April 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra Completing the square

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 30cm, b = 14cm, angle = 67°

    Answer: 193.3cm²
  4. 4. Ratio Combining two ratios

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

    Answer: 4:6:9
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 77, 36, 62, 48, 81, 64, 34, 98

    Answer: Mean = 62.5, Median = 64, Range = 64