Keystones — Capstone
Five GCSE retrieval questions · 22 December 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √375
Answer: 5√15 -
2. Algebra Completing the square
Complete the square: x² + x + 7
Answer: (x + 1⁄2)² + 27⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 21cm, angle = 75°. Give your answer to 2 decimal places
Answer: 283.98cm² -
4. Ratio Combining two ratios
a:b is 9:2 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 27:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 25, 84, 44, 84, 13, 34, 46, 24
Answer: Mean = 44.25, Median = 39, Range = 71