Keystones — Capstone
Five GCSE retrieval questions · 7 October 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √304
Answer: 4√19 -
2. Algebra Completing the square
Complete the square: x² - 11x + 4
Answer: (x - 11⁄2)² - 105⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places
Answer: 137.89cm² -
4. Ratio Combining two ratios
a:b is 5:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:63:45 -
5. Statistics Averages and range
Find the mean, median and range of: 66, 85, 51, 39, 22, 57, 71, 24. Give your answer to 2 decimal places
Answer: Mean = 51.88, Median = 54, Range = 63