Keystones — Capstone
Five GCSE retrieval questions · 2 September 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √704
Answer: 8√11 -
2. Algebra Completing the square
Complete the square: x² - 3x - 1
Answer: (x - 3⁄2)² - 13⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places
Answer: 241.48cm² -
4. Ratio Combining two ratios
a:b is 8:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:35:45 -
5. Statistics Averages and range
Find the mean, median and range of: 86, 38, 50, 33, 54, 65, 43. Give your answer to 2 decimal places
Answer: Mean = 52.71, Median = 50, Range = 53