Keystones — Capstone
Five GCSE retrieval questions · 8 July 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 5x + 1
Answer: (x + 5⁄2)² - 21⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 28cm, angle = 79°. Give your answer to 2 decimal places
Answer: 178.66cm² -
4. Ratio Combining two ratios
a:b is 4:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 20:35:7 -
5. Statistics Averages and range
Find the mean, median and range of: 14, 16, 52, 75, 82, 92, 14, 10, 15. Give your answer to 2 decimal places
Answer: Mean = 41.11, Median = 16, Range = 82