Keystones — Capstone
Five GCSE retrieval questions · 7 August 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 5x - 4
Answer: (x + 5⁄2)² - 41⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places
Answer: 305.18cm² -
4. Ratio Combining two ratios
a:b is 2:5 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 18:45:40 -
5. Statistics Averages and range
Find the mean, median and range of: 36, 78, 53, 44, 85, 64, 46, 30, 24. Give your answer to 2 decimal places
Answer: Mean = 51.11, Median = 46, Range = 61