Keystones — Capstone
Five GCSE retrieval questions · 21 April 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√63
Answer: 9√7 -
2. Algebra Completing the square
Complete the square: x² - 7x - 7
Answer: (x - 7⁄2)² - 77⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 14cm, angle = 46°. Give your answer to 2 decimal places
Answer: 105.74cm² -
4. Ratio Combining two ratios
a:b is 3:8 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 21:56:64 -
5. Statistics Averages and range
Find the mean, median and range of: 27, 28, 59, 63, 60, 22, 10. Give your answer to 2 decimal places
Answer: Mean = 38.43, Median = 28, Range = 53