Keystones — Capstone
Five GCSE retrieval questions · 24 September 2011 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √486
Answer: 9√6 -
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 = 28cm, b = 15cm, angle = 75°. Give your answer to 2 decimal places
Answer: 202.84cm² -
4. Ratio Combining two ratios
a:b is 2:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 10:45:54 -
5. Statistics Averages and range
Find the mean, median and range of: 82, 92, 51, 49, 99, 64, 46, 45, 81. Give your answer to 2 decimal places
Answer: Mean = 67.67, Median = 64, Range = 54