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Capstone · Grades 7–9 Keystones #1 10 July 2011 Skills week 1 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 10 July 2011 · mathsvault.uk/keystones

  1. 1. Number Simplifying surds

    Simplify: 5√12

    Answer: 10√3
  2. 2. Algebra Completing the square

    Complete the square: x² + 11x + 8

    Answer: (x + 11⁄2)² - 89⁄4
  3. 3. Geometry Area using ½ab sin C

    Find area of triangle: a = 18cm, b = 25cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 196.79cm²
  4. 4. Ratio Combining two ratios

    a:b is 5:4 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 35:28:32
  5. 5. Statistics Averages and range

    Find the mean, median and range of: 30, 98, 51, 20, 85, 31, 41. Give your answer to 2 decimal places

    Answer: Mean = 50.86, Median = 41, Range = 78