Keystones — Capstone
Five GCSE retrieval questions · 8 February 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√175
Answer: 15√7 -
2. Algebra Completing the square
Complete the square: x² + 5x - 10
Answer: (x + 5⁄2)² - 65⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places
Answer: 267.81cm² -
4. Ratio Combining two ratios
a:b is 5:9 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 20:36:81 -
5. Statistics Averages and range
Find the mean, median and range of: 86, 55, 29, 75, 33, 33, 19, 55. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 44, Range = 67