Keystones — Capstone
Five GCSE retrieval questions · 22 December 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√125
Answer: 15√5 -
2. Algebra Completing the square
Complete the square: x² + 7x - 9
Answer: (x + 7⁄2)² - 85⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 385.18cm² -
4. Ratio Combining two ratios
a:b is 9:8 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 63:56:64 -
5. Statistics Averages and range
Find the mean, median and range of: 56, 24, 79, 42, 54, 90, 76, 59
Answer: Mean = 60, Median = 57.5, Range = 66