Keystones — Capstone
Five GCSE retrieval questions · 3 February 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√99
Answer: 15√11 -
2. Algebra Completing the square
Complete the square: x² - x + 3
Answer: (x - 1⁄2)² + 11⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 170.19cm² -
4. Ratio Combining two ratios
a:b is 6:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 36:30:5 -
5. Statistics Averages and range
Find the mean, median and range of: 93, 24, 35, 76, 42, 49, 33, 15. Give your answer to 2 decimal places
Answer: Mean = 45.88, Median = 38.5, Range = 78