Keystones — Capstone
Five GCSE retrieval questions · 22 January 2014 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √175
Answer: 5√7 -
2. Algebra Completing the square
Complete the square: x² + 3x + 4
Answer: (x + 3⁄2)² + 7⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 15cm, angle = 78°. Give your answer to 2 decimal places
Answer: 212.75cm² -
4. Ratio Combining two ratios
a:b is 6:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 42:35:30 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 16, 41, 93, 15, 62, 11, 10, 51. Give your answer to 2 decimal places
Answer: Mean = 35.11, Median = 17, Range = 83