Keystones — Capstone
Five GCSE retrieval questions · 3 February 2013 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√99
Answer: 9√11 -
2. Algebra Completing the square
Complete the square: x² + 7x - 2
Answer: (x + 7⁄2)² - 57⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 30cm, angle = 65°. Give your answer to 2 decimal places
Answer: 176.73cm² -
4. Ratio Combining two ratios
a:b is 9:5 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 27:15:5 -
5. Statistics Averages and range
Find the mean, median and range of: 16, 41, 99, 29, 75, 74, 59, 48. Give your answer to 2 decimal places
Answer: Mean = 55.13, Median = 53.5, Range = 83