Keystones — Capstone
Five GCSE retrieval questions · 4 February 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 2√27
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 5x - 12
Answer: (x + 5⁄2)² - 73⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places
Answer: 234.76cm² -
4. Ratio Combining two ratios
a:b is 1:6 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 3:18:4 -
5. Statistics Averages and range
Find the mean, median and range of: 71, 85, 30, 33, 60, 74, 71. Give your answer to 2 decimal places
Answer: Mean = 60.57, Median = 71, Range = 55