Keystones — Capstone
Five GCSE retrieval questions · 20 May 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √405
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: x² + 9x + 5
Answer: (x + 9⁄2)² - 61⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places
Answer: 128.62cm² -
4. Ratio Combining two ratios
a:b is 7:4 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 63:36:32 -
5. Statistics Averages and range
Find the mean, median and range of: 63, 72, 37, 87, 64, 65, 11, 92, 33. Give your answer to 2 decimal places
Answer: Mean = 58.22, Median = 64, Range = 81