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Capstone · Grades 7–9 Keystones #1 21 February 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 21 February 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √125

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

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 18cm, b = 12cm, angle = 79°

    Answer: 106cm²
  4. 4. Ratio Combining two ratios

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

    Answer: 16:12:18
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 25, 54, 15, 32, 31, 65, 88

    Answer: Mean = 44.3, Median = 32, Range = 73