Keystones — Capstone
Five GCSE retrieval questions · 24 November 2014 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √405
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: x² - 5x + 12
Answer: (x - 5⁄2)² + 23⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places
Answer: 166.62cm² -
4. Ratio Combining two ratios
a:b is 7:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:40:64 -
5. Statistics Averages and range
Find the mean, median and range of: 43, 99, 50, 88, 27, 41, 83, 73, 51. Give your answer to 2 decimal places
Answer: Mean = 61.67, Median = 51, Range = 72