Keystones — Capstone
Five GCSE retrieval questions · 22 September 2016 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √720
Answer: 12√5 -
2. Algebra Completing the square
Complete the square: x² + 9x + 12
Answer: (x + 9⁄2)² - 33⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places
Answer: 151.66cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 8:6:27 -
5. Statistics Averages and range
Find the mean, median and range of: 24, 92, 20, 43, 25, 56, 54, 83. Give your answer to 2 decimal places
Answer: Mean = 49.63, Median = 48.5, Range = 72