Keystones — Capstone
Five GCSE retrieval questions · 24 March 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 2√48
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² - 7x - 2
Answer: (x - 7⁄2)² - 57⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 30cm, angle = 72°. Give your answer to 2 decimal places
Answer: 271.05cm² -
4. Ratio Combining two ratios
a:b is 6:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 54:45:20 -
5. Statistics Averages and range
Find the mean, median and range of: 48, 40, 46, 92, 80, 76, 71, 67, 70. Give your answer to 2 decimal places
Answer: Mean = 65.56, Median = 70, Range = 52