Keystones — Capstone
Five GCSE retrieval questions · 30 October 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √504
Answer: 6√14 -
2. Algebra Completing the square
Complete the square: x² + 9x + 1
Answer: (x + 9⁄2)² - 77⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places
Answer: 211.72cm² -
4. Ratio Combining two ratios
a:b is 3:8 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 9:24:28 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 53, 66, 54, 45, 42, 71, 89. Give your answer to 2 decimal places
Answer: Mean = 62.88, Median = 60, Range = 47