Keystones — Capstone
Five GCSE retrieval questions · 10 September 2014 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
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 = 15cm, b = 25cm, angle = 54°. Give your answer to 2 decimal places
Answer: 151.69cm² -
4. Ratio Combining two ratios
a:b is 2:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 16:56:7 -
5. Statistics Averages and range
Find the mean, median and range of: 86, 84, 38, 31, 60, 10, 29, 56
Answer: Mean = 49.25, Median = 47, Range = 76