Keystones — Capstone
Five GCSE retrieval questions · 10 September 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √245
Answer: 7√5 -
2. Algebra Completing the square
Complete the square: x² + 7x + 6
Answer: (x + 7⁄2)² - 25⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places
Answer: 145.88cm² -
4. Ratio Combining two ratios
a:b is 2:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 14:63:36 -
5. Statistics Averages and range
Find the mean, median and range of: 43, 50, 16, 27, 27, 82, 67, 88
Answer: Mean = 50, Median = 46.5, Range = 72