Keystones — Capstone
Five GCSE retrieval questions · 23 July 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √245
Answer: 7√5 -
2. Algebra Completing the square
Complete the square: 3x² + 30x + 10
Answer: 3(x + 5)² - 65 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 23cm, angle = 47°. Give your answer to 2 decimal places
Answer: 109.34cm² -
4. Ratio Combining two ratios
a:b is 1:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:35:45 -
5. Statistics Averages and range
Find the mean, median and range of: 49, 54, 92, 34, 25, 32, 62. Give your answer to 2 decimal places
Answer: Mean = 49.71, Median = 49, Range = 67