Keystones — Capstone
Five GCSE retrieval questions · 22 July 2014 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √726
Answer: 11√6 -
2. Algebra Completing the square
Complete the square: x² + 3x + 1
Answer: (x + 3⁄2)² - 5⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 19cm, angle = 59°. Give your answer to 2 decimal places
Answer: 187.29cm² -
4. Ratio Combining two ratios
a:b is 1:8 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:24:64 -
5. Statistics Averages and range
Find the mean, median and range of: 70, 17, 63, 69, 98, 17, 68, 45. Give your answer to 2 decimal places
Answer: Mean = 55.88, Median = 65.5, Range = 81