Keystones — Capstone
Five GCSE retrieval questions · 3 February 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √405
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: x² + 11x + 12
Answer: (x + 11⁄2)² - 73⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 12cm, angle = 76°. Give your answer to 2 decimal places
Answer: 139.72cm² -
4. Ratio Combining two ratios
a:b is 5:4 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 25:20:8 -
5. Statistics Averages and range
Find the mean, median and range of: 38, 22, 60, 77, 75, 44, 40, 50
Answer: Mean = 50.75, Median = 47, Range = 55