Keystones — Capstone
Five GCSE retrieval questions · 9 April 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √637
Answer: 7√13 -
2. Algebra Completing the square
Complete the square: x² + 3x + 1
Answer: (x + 3⁄2)² - 5⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 29cm, angle = 67°. Give your answer to 2 decimal places
Answer: 213.56cm² -
4. Ratio Combining two ratios
a:b is 5:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 45:63:49 -
5. Statistics Averages and range
Find the mean, median and range of: 13, 41, 89, 39, 52, 77, 84. Give your answer to 2 decimal places
Answer: Mean = 56.43, Median = 52, Range = 76