Keystones — Capstone
Five GCSE retrieval questions · 11 November 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 2√75
Answer: 10√3 -
2. Algebra Completing the square
Complete the square: x² + 9x + 6
Answer: (x + 9⁄2)² - 57⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 28cm, angle = 62°. Give your answer to 2 decimal places
Answer: 358.48cm² -
4. Ratio Combining two ratios
a:b is 5:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 35:28:36 -
5. Statistics Averages and range
Find the mean, median and range of: 29, 62, 54, 37, 30, 86, 18, 25. Give your answer to 2 decimal places
Answer: Mean = 42.63, Median = 33.5, Range = 68