Keystones — Capstone
Five GCSE retrieval questions · 16 November 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√54
Answer: 9√6 -
2. Algebra Completing the square
Complete the square: x² + x - 12
Answer: (x + 1⁄2)² - 49⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 12cm, angle = 70°. Give your answer to 2 decimal places
Answer: 135.32cm² -
4. Ratio Combining two ratios
a:b is 6:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 42:35:20 -
5. Statistics Averages and range
Find the mean, median and range of: 96, 31, 39, 59, 19, 89, 14, 85, 47. Give your answer to 2 decimal places
Answer: Mean = 53.22, Median = 47, Range = 82