Keystones — Capstone
Five GCSE retrieval questions · 11 February 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√80
Answer: 20√5 -
2. Algebra Completing the square
Complete the square: x² - 5x + 5
Answer: (x - 5⁄2)² - 5⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 24cm, angle = 57°. Give your answer to 2 decimal places
Answer: 241.54cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 9:12:2 -
5. Statistics Averages and range
Find the mean, median and range of: 98, 28, 19, 66, 20, 99, 55, 38. Give your answer to 2 decimal places
Answer: Mean = 52.88, Median = 46.5, Range = 80