Keystones — Capstone
Five GCSE retrieval questions · 29 December 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 9x - 4
Answer: (x + 9⁄2)² - 97⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places
Answer: 78.73cm² -
4. Ratio Combining two ratios
a:b is 7:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 35:15:18 -
5. Statistics Averages and range
Find the mean, median and range of: 81, 100, 36, 18, 49, 81, 39. Give your answer to 2 decimal places
Answer: Mean = 57.71, Median = 49, Range = 82