Keystones — Capstone
Five GCSE retrieval questions · 5 September 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√28
Answer: 10√7 -
2. Algebra Completing the square
Complete the square: x² + 5x - 1
Answer: (x + 5⁄2)² - 29⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 15cm, angle = 59°. Give your answer to 2 decimal places
Answer: 122.15cm² -
4. Ratio Combining two ratios
a:b is 3:8 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 27:72:16 -
5. Statistics Averages and range
Find the mean, median and range of: 43, 66, 17, 31, 60, 84, 64, 91, 99. Give your answer to 2 decimal places
Answer: Mean = 61.67, Median = 64, Range = 82