Keystones — Capstone
Five GCSE retrieval questions · 5 November 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √686
Answer: 7√14 -
2. Algebra Completing the square
Complete the square: x² - 9x - 12
Answer: (x - 9⁄2)² - 129⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 12cm, angle = 76°. Give your answer to 2 decimal places
Answer: 168.83cm² -
4. Ratio Combining two ratios
a:b is 9:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:35:42 -
5. Statistics Averages and range
Find the mean, median and range of: 36, 100, 23, 76, 82, 48, 68. Give your answer to 2 decimal places
Answer: Mean = 61.86, Median = 68, Range = 77