Keystones — Capstone
Five GCSE retrieval questions · 16 July 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 3√45
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: x² + 7x + 7
Answer: (x + 7⁄2)² - 21⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places
Answer: 220.92cm² -
4. Ratio Combining two ratios
a:b is 8:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 40:15:18 -
5. Statistics Averages and range
Find the mean, median and range of: 19, 94, 47, 35, 31, 74, 96. Give your answer to 2 decimal places
Answer: Mean = 56.57, Median = 47, Range = 77