Keystones — Capstone
Five GCSE retrieval questions · 25 April 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√175
Answer: 15√7 -
2. Algebra Completing the square
Complete the square: x² + 3x - 1
Answer: (x + 3⁄2)² - 13⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 23cm, angle = 67°. Give your answer to 2 decimal places
Answer: 222.3cm² -
4. Ratio Combining two ratios
a:b is 4:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 36:63:14 -
5. Statistics Averages and range
Find the mean, median and range of: 12, 48, 20, 18, 41, 47, 46, 23, 73. Give your answer to 2 decimal places
Answer: Mean = 36.44, Median = 41, Range = 61