Keystones — Capstone
Five GCSE retrieval questions · 27 October 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 9x + 1
Answer: (x + 9⁄2)² - 77⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 20cm, angle = 71°. Give your answer to 2 decimal places
Answer: 160.74cm² -
4. Ratio Combining two ratios
a:b is 9:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 36:20:15 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 89, 67, 14, 59, 18, 90, 41, 33. Give your answer to 2 decimal places
Answer: Mean = 52.56, Median = 59, Range = 76