Keystones — Capstone
Five GCSE retrieval questions · 15 November 2014 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √175
Answer: 5√7 -
2. Algebra Completing the square
Complete the square: x² + 3x + 9
Answer: (x + 3⁄2)² + 27⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 16cm, angle = 43°. Give your answer to 2 decimal places
Answer: 65.47cm² -
4. Ratio Combining two ratios
a:b is 1:5 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 4:20:5 -
5. Statistics Averages and range
Find the mean, median and range of: 71, 32, 38, 84, 75, 77, 29, 64, 20. Give your answer to 2 decimal places
Answer: Mean = 54.44, Median = 64, Range = 64