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Capstone · Grades 7–9 Keystones #1 11 January 2023 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 11 January 2023 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √108

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

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 12cm, b = 20cm, angle = 69°

    Answer: 112cm²
  4. 4. Ratio Combining two ratios

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

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

    Find the mean, median and range of: 33, 96, 43, 63, 15, 25, 41, 83

    Answer: Mean = 49.9, Median = 43, Range = 81