Keystones — Capstone
Five GCSE retrieval questions · 8 September 2013 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√175
Answer: 25√7 -
2. Algebra Completing the square
Complete the square: x² - 7x + 9
Answer: (x - 7⁄2)² - 13⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 17cm, angle = 41°. Give your answer to 2 decimal places
Answer: 111.53cm² -
4. Ratio Combining two ratios
a:b is 1:7 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:35:56 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 41, 55, 75, 24, 89, 100. Give your answer to 2 decimal places
Answer: Mean = 63.57, Median = 61, Range = 76