Keystones — Capstone
Five GCSE retrieval questions · 9 November 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √180
Answer: 6√5 -
2. Algebra Completing the square
Complete the square: x² + x + 2
Answer: (x + 1⁄2)² + 7⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 28cm, angle = 51°. Give your answer to 2 decimal places
Answer: 130.56cm² -
4. Ratio Combining two ratios
a:b is 6:7 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 36:42:49 -
5. Statistics Averages and range
Find the mean, median and range of: 70, 75, 24, 30, 28, 15, 90. Give your answer to 2 decimal places
Answer: Mean = 47.43, Median = 30, Range = 75