Keystones — Capstone
Five GCSE retrieval questions · 18 April 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √637
Answer: 7√13 -
2. Algebra Completing the square
Complete the square: x² - 3x + 7
Answer: (x - 3⁄2)² + 19⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 25cm, angle = 74°. Give your answer to 2 decimal places
Answer: 144.19cm² -
4. Ratio Combining two ratios
a:b is 1:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 3:21:14 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 69, 74, 73, 30, 77, 71, 75
Answer: Mean = 69, Median = 73.5, Range = 53