Keystones — Capstone
Five GCSE retrieval questions · 9 March 2013 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √931
Answer: 7√19 -
2. Algebra Completing the square
Complete the square: x² - 7x + 1
Answer: (x - 7⁄2)² - 45⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 29cm, angle = 72°. Give your answer to 2 decimal places
Answer: 248.23cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 10:15:24 -
5. Statistics Averages and range
Find the mean, median and range of: 45, 23, 27, 27, 10, 31, 77. Give your answer to 2 decimal places
Answer: Mean = 34.29, Median = 27, Range = 67