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Capstone · Grades 7–9 Keystones #1 24 May 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 24 May 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra Completing the square

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 29cm, b = 29cm, angle = 63°

    Answer: 374.7cm²
  4. 4. Ratio Combining two ratios

    a:b is 2:3 and b:c is 2:5. Find a:b:c.

    Answer: 4:6:15
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 79, 16, 69, 65, 15, 74, 54, 56, 38

    Answer: Mean = 51.8, Median = 56, Range = 64