Keystones — Capstone
Five GCSE retrieval questions · 9 September 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √486
Answer: 9√6 -
2. Algebra Completing the square
Complete the square: x² + 3x + 12
Answer: (x + 3⁄2)² + 39⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 85.cm² -
4. Ratio Combining two ratios
a:b is 1:3 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 2:6:3 -
5. Statistics Averages and range
Find the mean, median and range of: 50, 48, 65, 43, 95, 91, 28, 86, 89. Give your answer to 2 decimal places
Answer: Mean = 66.11, Median = 65, Range = 67