Keystones — Capstone
Five GCSE retrieval questions · 28 August 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √686
Answer: 7√14 -
2. Algebra Completing the square
Complete the square: x² + 7x
Answer: (x + 7⁄2)² - 49⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 28cm, angle = 78°. Give your answer to 2 decimal places
Answer: 178.02cm² -
4. Ratio Combining two ratios
a:b is 5:8 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 15:24:8 -
5. Statistics Averages and range
Find the mean, median and range of: 45, 47, 49, 32, 46, 96, 40, 47
Answer: Mean = 50.25, Median = 46.5, Range = 64