Keystones — Capstone
Five GCSE retrieval questions · 4 February 2014 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 11x - 12
Answer: (x + 11⁄2)² - 169⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places
Answer: 178.19cm² -
4. Ratio Combining two ratios
a:b is 4:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 32:72:45 -
5. Statistics Averages and range
Find the mean, median and range of: 41, 51, 65, 37, 85, 53, 30. Give your answer to 2 decimal places
Answer: Mean = 51.71, Median = 51, Range = 55