Keystones — Capstone
Five GCSE retrieval questions · 31 March 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √684
Answer: 6√19 -
2. Algebra Completing the square
Complete the square: x² + x - 11
Answer: (x + 1⁄2)² - 45⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 13cm, angle = 67°. Give your answer to 2 decimal places
Answer: 83.77cm² -
4. Ratio Combining two ratios
a:b is 9:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 72:56:49 -
5. Statistics Averages and range
Find the mean, median and range of: 57, 81, 62, 38, 25, 67, 33. Give your answer to 2 decimal places
Answer: Mean = 51.86, Median = 57, Range = 56