Keystones — Capstone
Five GCSE retrieval questions · 14 November 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√99
Answer: 9√11 -
2. Algebra Completing the square
Complete the square: x² + 7x + 2
Answer: (x + 7⁄2)² - 41⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 20cm, angle = 80°. Give your answer to 2 decimal places
Answer: 206.81cm² -
4. Ratio Combining two ratios
a:b is 7:3 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 14:6:27 -
5. Statistics Averages and range
Find the mean, median and range of: 84, 69, 45, 56, 34, 96, 34, 42
Answer: Mean = 57.5, Median = 50.5, Range = 62