Keystones — Capstone
Five GCSE retrieval questions · 12 February 2016 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √176
Answer: 4√11 -
2. Algebra Completing the square
Complete the square: x² + 11x + 1
Answer: (x + 11⁄2)² - 117⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 21cm, angle = 45°. Give your answer to 2 decimal places
Answer: 170.77cm² -
4. Ratio Combining two ratios
a:b is 6:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 18:15:20 -
5. Statistics Averages and range
Find the mean, median and range of: 73, 66, 62, 55, 89, 88, 56. Give your answer to 2 decimal places
Answer: Mean = 69.86, Median = 66, Range = 34