Keystones — Capstone
Five GCSE retrieval questions · 10 January 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √637
Answer: 7√13 -
2. Algebra Completing the square
Complete the square: x² + x + 8
Answer: (x + 1⁄2)² + 31⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 25cm, angle = 79°. Give your answer to 2 decimal places
Answer: 196.33cm² -
4. Ratio Combining two ratios
a:b is 6:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 54:45:20 -
5. Statistics Averages and range
Find the mean, median and range of: 49, 74, 17, 20, 68, 71, 79, 99. Give your answer to 2 decimal places
Answer: Mean = 59.63, Median = 69.5, Range = 82