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

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

  1. 1. Number Simplifying surds

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra Completing the square

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 14cm, b = 12cm, angle = 51°

    Answer: 65.3cm²
  4. 4. Ratio Combining two ratios

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

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

    Find the mean, median and range of: 57, 58, 35, 38, 78, 65, 23

    Answer: Mean = 50.6, Median = 57, Range = 55