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Capstone · Grades 7–9 Keystones #1 20 March 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 20 March 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √320

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

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 30cm, b = 30cm, angle = 70°

    Answer: 422.9cm²
  4. 4. Ratio Combining two ratios

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

    Answer: 12:6:8
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 70, 67, 13, 88, 10, 100, 60, 69, 55

    Answer: Mean = 59.1, Median = 67, Range = 90