Keystones — Capstone
Five GCSE retrieval questions · 4 September 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √72
Answer: 6√2 -
2. Algebra Completing the square
Complete the square: 3x² + 18x + 15
Answer: 3(x + 3)² - 12 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 23cm, angle = 77°. Give your answer to 2 decimal places
Answer: 212.9cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 9:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 75, 70, 37, 78, 85, 93, 49, 88. Give your answer to 2 decimal places
Answer: Mean = 71.88, Median = 76.5, Range = 56