Keystones — Capstone
Five GCSE retrieval questions · 8 September 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √325
Answer: 5√13 -
2. Algebra Completing the square
Complete the square: x² - 5x + 10
Answer: (x - 5⁄2)² + 15⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 20cm, angle = 75°. Give your answer to 2 decimal places
Answer: 135.23cm² -
4. Ratio Combining two ratios
a:b is 2:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 16:56:35 -
5. Statistics Averages and range
Find the mean, median and range of: 57, 22, 97, 55, 59, 75, 64. Give your answer to 2 decimal places
Answer: Mean = 61.29, Median = 59, Range = 75