Keystones — Capstone
Five GCSE retrieval questions · 15 November 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 11x - 3
Answer: (x + 11⁄2)² - 133⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 23cm, angle = 68°. Give your answer to 2 decimal places
Answer: 159.94cm² -
4. Ratio Combining two ratios
a:b is 5:4 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 45:36:8 -
5. Statistics Averages and range
Find the mean, median and range of: 63, 72, 59, 60, 85, 84, 91. Give your answer to 2 decimal places
Answer: Mean = 73.43, Median = 72, Range = 32