Keystones — Capstone
Five GCSE retrieval questions · 18 February 2014 · 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 + 9
Answer: (x - 5⁄2)² + 11⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 269.62cm² -
4. Ratio Combining two ratios
a:b is 3:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 15:40:56 -
5. Statistics Averages and range
Find the mean, median and range of: 83, 84, 23, 17, 76, 97, 54, 62, 30. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 62, Range = 80