Keystones — Capstone
Five GCSE retrieval questions · 13 October 2016 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 5x + 11
Answer: (x + 5⁄2)² + 19⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places
Answer: 367.89cm² -
4. Ratio Combining two ratios
a:b is 5:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 40:72:27 -
5. Statistics Averages and range
Find the mean, median and range of: 78, 74, 52, 80, 33, 17, 32, 63. Give your answer to 2 decimal places
Answer: Mean = 53.63, Median = 57.5, Range = 63