Keystones — Capstone
Five GCSE retrieval questions · 21 November 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + x + 6
Answer: (x + 1⁄2)² + 23⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 12cm, angle = 42°. Give your answer to 2 decimal places
Answer: 64.24cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 10:15:12 -
5. Statistics Averages and range
Find the mean, median and range of: 18, 22, 41, 42, 85, 92, 54, 89, 61
Answer: Mean = 56, Median = 54, Range = 74