Keystones — Capstone
Five GCSE retrieval questions · 14 February 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 4√54
Answer: 12√6 -
2. Algebra Completing the square
Complete the square: x² + 11x + 8
Answer: (x + 11⁄2)² - 89⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places
Answer: 226.48cm² -
4. Ratio Combining two ratios
a:b is 7:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:10:4 -
5. Statistics Averages and range
Find the mean, median and range of: 14, 39, 53, 36, 76, 31, 27, 87. Give your answer to 2 decimal places
Answer: Mean = 45.38, Median = 37.5, Range = 73