Keystones — Capstone
Five GCSE retrieval questions · 22 December 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + x + 4
Answer: (x + 1⁄2)² + 15⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 25cm, angle = 58°. Give your answer to 2 decimal places
Answer: 127.21cm² -
4. Ratio Combining two ratios
a:b is 4:9 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 20:45:81 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 90, 65, 10, 81, 15, 16. Give your answer to 2 decimal places
Answer: Mean = 48.29, Median = 61, Range = 80