Keystones — Capstone
Five GCSE retrieval questions · 10 March 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + 11x + 11
Answer: (x + 11⁄2)² - 77⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 24cm, angle = 59°. Give your answer to 2 decimal places
Answer: 277.72cm² -
4. Ratio Combining two ratios
a:b is 6:7 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 30:35:49 -
5. Statistics Averages and range
Find the mean, median and range of: 97, 39, 15, 78, 60, 37, 92. Give your answer to 2 decimal places
Answer: Mean = 59.71, Median = 60, Range = 82