Keystones — Capstone
Five GCSE retrieval questions · 8 November 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √567
Answer: 9√7 -
2. Algebra Completing the square
Complete the square: x² + 7x - 8
Answer: (x + 7⁄2)² - 81⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 13cm, angle = 78°. Give your answer to 2 decimal places
Answer: 178.02cm² -
4. Ratio Combining two ratios
a:b is 7:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 28:20:15 -
5. Statistics Averages and range
Find the mean, median and range of: 73, 22, 46, 15, 28, 97, 82, 91, 39. Give your answer to 2 decimal places
Answer: Mean = 54.78, Median = 46, Range = 82