Keystones — Capstone
Five GCSE retrieval questions · 3 November 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √180
Answer: 6√5 -
2. Algebra Completing the square
Complete the square: x² - 7x + 11
Answer: (x - 7⁄2)² - 5⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 12cm, angle = 70°. Give your answer to 2 decimal places
Answer: 90.21cm² -
4. Ratio Combining two ratios
a:b is 3:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 27:45:25 -
5. Statistics Averages and range
Find the mean, median and range of: 67, 64, 14, 100, 99, 59, 26, 40, 36. Give your answer to 2 decimal places
Answer: Mean = 56.11, Median = 59, Range = 86