Keystones — Capstone
Five GCSE retrieval questions · 10 June 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √72
Answer: 6√2 -
2. Algebra Completing the square
Complete the square: x² + 7x + 3
Answer: (x + 7⁄2)² - 37⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 19cm, angle = 77°. Give your answer to 2 decimal places
Answer: 249.93cm² -
4. Ratio Combining two ratios
a:b is 8:3 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 64:24:3 -
5. Statistics Averages and range
Find the mean, median and range of: 75, 34, 47, 74, 96, 67, 21, 31. Give your answer to 2 decimal places
Answer: Mean = 55.63, Median = 57, Range = 75