Keystones — Capstone
Five GCSE retrieval questions · 4 April 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 - 1
Answer: (x - 1⁄2)² - 5⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 26cm, angle = 67°. Give your answer to 2 decimal places
Answer: 179.5cm² -
4. Ratio Combining two ratios
a:b is 7:5 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 42:30:35 -
5. Statistics Averages and range
Find the mean, median and range of: 38, 40, 11, 68, 15, 63, 81, 71, 73. Give your answer to 2 decimal places
Answer: Mean = 51.11, Median = 63, Range = 70