Keystones — Capstone
Five GCSE retrieval questions · 23 August 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √432
Answer: 12√3 -
2. Algebra Completing the square
Complete the square: x² + x - 5
Answer: (x + 1⁄2)² - 21⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 20cm, angle = 48°. Give your answer to 2 decimal places
Answer: 104.04cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 15:10:16 -
5. Statistics Averages and range
Find the mean, median and range of: 20, 86, 24, 65, 18, 35, 51. Give your answer to 2 decimal places
Answer: Mean = 42.71, Median = 35, Range = 68