Keystones — Capstone
Five GCSE retrieval questions · 10 October 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√12
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 7x - 7
Answer: (x + 7⁄2)² - 77⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 21cm, angle = 78°. Give your answer to 2 decimal places
Answer: 133.52cm² -
4. Ratio Combining two ratios
a:b is 3:5 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 18:30:35 -
5. Statistics Averages and range
Find the mean, median and range of: 10, 89, 49, 81, 48, 87, 28, 19, 53. Give your answer to 2 decimal places
Answer: Mean = 51.56, Median = 49, Range = 79