Keystones — Capstone
Five GCSE retrieval questions · 9 August 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√45
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: x² - 11x + 2
Answer: (x - 11⁄2)² - 113⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 22cm, angle = 67°. Give your answer to 2 decimal places
Answer: 212.64cm² -
4. Ratio Combining two ratios
a:b is 1:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 8:24:21 -
5. Statistics Averages and range
Find the mean, median and range of: 24, 98, 93, 31, 98, 90, 80, 58
Answer: Mean = 71.5, Median = 85, Range = 74