Keystones — Capstone
Five GCSE retrieval questions · 4 March 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 2√27
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 5x + 8
Answer: (x + 5⁄2)² + 7⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places
Answer: 220.15cm² -
4. Ratio Combining two ratios
a:b is 1:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 9:45:5 -
5. Statistics Averages and range
Find the mean, median and range of: 29, 83, 64, 10, 100, 32, 45, 38. Give your answer to 2 decimal places
Answer: Mean = 50.13, Median = 41.5, Range = 90