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Capstone · Grades 7–9 Keystones #1 19 February 2025 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 19 February 2025 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra Completing the square

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 18cm, b = 22cm, angle = 60°

    Answer: 171.5cm²
  4. 4. Ratio Combining two ratios

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 77, 79, 91, 77, 67, 75, 87, 67

    Answer: Mean = 77.5, Median = 77, Range = 24