Keystones — Capstone
Five GCSE retrieval questions · 12 July 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√175
Answer: 25√7 -
2. Algebra Completing the square
Complete the square: x² - 9x + 11
Answer: (x - 9⁄2)² - 37⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 12cm, angle = 52°. Give your answer to 2 decimal places
Answer: 113.47cm² -
4. Ratio Combining two ratios
a:b is 8:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:35:20 -
5. Statistics Averages and range
Find the mean, median and range of: 82, 23, 30, 93, 61, 81, 83. Give your answer to 2 decimal places
Answer: Mean = 64.71, Median = 81, Range = 70