Keystones — Capstone
Five GCSE retrieval questions · 17 December 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√275
Answer: 15√11 -
2. Algebra Completing the square
Complete the square: x² - 5x + 8
Answer: (x - 5⁄2)² + 7⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 30cm, angle = 45°. Give your answer to 2 decimal places
Answer: 222.74cm² -
4. Ratio Combining two ratios
a:b is 9:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 81:18:8 -
5. Statistics Averages and range
Find the mean, median and range of: 46, 80, 63, 47, 20, 32, 17. Give your answer to 2 decimal places
Answer: Mean = 43.57, Median = 46, Range = 63