Keystones — Capstone
Five GCSE retrieval questions · 2 September 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √375
Answer: 5√15 -
2. Algebra Completing the square
Complete the square: x² - x - 4
Answer: (x - 1⁄2)² - 17⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 12cm, angle = 54°. Give your answer to 2 decimal places
Answer: 87.37cm² -
4. Ratio Combining two ratios
a:b is 8:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:35:20 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 73, 93, 84, 95, 75, 95, 75, 79. Give your answer to 2 decimal places
Answer: Mean = 76.22, Median = 79, Range = 78