Keystones — Capstone
Five GCSE retrieval questions · 3 March 2016 · 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 + 7x - 7
Answer: (x + 7⁄2)² - 77⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 15cm, angle = 47°. Give your answer to 2 decimal places
Answer: 109.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 14:21:27 -
5. Statistics Averages and range
Find the mean, median and range of: 48, 18, 43, 97, 91, 83, 80, 84
Answer: Mean = 68, Median = 81.5, Range = 79