Keystones — Capstone
Five GCSE retrieval questions · 17 February 2018 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + x - 1
Answer: (x + 1⁄2)² - 5⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places
Answer: 73.81cm² -
4. Ratio Combining two ratios
a:b is 4:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 32:40:45 -
5. Statistics Averages and range
Find the mean, median and range of: 41, 62, 56, 10, 25, 68, 87, 83, 28. Give your answer to 2 decimal places
Answer: Mean = 51.11, Median = 56, Range = 77