Keystones — Capstone
Five GCSE retrieval questions · 18 January 2016 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √931
Answer: 7√19 -
2. Algebra Completing the square
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 24cm, angle = 75°. Give your answer to 2 decimal places
Answer: 243.41cm² -
4. Ratio Combining two ratios
a:b is 5:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 20:28:49 -
5. Statistics Averages and range
Find the mean, median and range of: 42, 62, 56, 40, 36, 39, 16, 15, 63
Answer: Mean = 41, Median = 40, Range = 48