Keystones — Capstone
Five GCSE retrieval questions · 23 April 2013 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√75
Answer: 25√3 -
2. Algebra Completing the square
Complete the square: x² + 9x + 2
Answer: (x + 9⁄2)² - 73⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 12cm, angle = 69°. Give your answer to 2 decimal places
Answer: 84.02cm² -
4. Ratio Combining two ratios
a:b is 8:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 72:45:25 -
5. Statistics Averages and range
Find the mean, median and range of: 80, 72, 49, 33, 47, 13, 61, 11, 19. Give your answer to 2 decimal places
Answer: Mean = 42.78, Median = 47, Range = 69