Keystones — Capstone
Five GCSE retrieval questions · 23 February 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √405
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: 3x² + 18x + 8
Answer: 3(x + 3)² - 19 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 16cm, angle = 58°. Give your answer to 2 decimal places
Answer: 115.33cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 28:21:3 -
5. Statistics Averages and range
Find the mean, median and range of: 46, 17, 69, 44, 99, 92, 63. Give your answer to 2 decimal places
Answer: Mean = 61.43, Median = 63, Range = 82