Keystones — Capstone
Five GCSE retrieval questions · 5 November 2013 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² - 7x - 4
Answer: (x - 7⁄2)² - 65⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places
Answer: 94.72cm² -
4. Ratio Combining two ratios
a:b is 7:8 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 49:56:64 -
5. Statistics Averages and range
Find the mean, median and range of: 72, 49, 23, 59, 10, 94, 83, 32, 57. Give your answer to 2 decimal places
Answer: Mean = 53.22, Median = 57, Range = 84