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Capstone · Grades 7–9 Keystones #1 4 December 2011 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 4 December 2011 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: 5√45

    Answer: 15√5
  2. 2. Algebra Completing the square

    Complete the square: 4x² + 16x - 1

    Answer: 4(x + 2)² - 17
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 29cm, b = 27cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 271.96cm²
  4. 4. Ratio Combining two ratios

    a:b is 4:7 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 36:63:7
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 23, 41, 80, 61, 10, 35, 70, 81, 59. Give your answer to 2 decimal places

    Answer: Mean = 51.11, Median = 59, Range = 71