Keystones — Capstone
Five GCSE retrieval questions · 20 June 2010 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√45
Answer: 15√5 -
2. Algebra Completing the square
Complete the square: x² - 11x - 12
Answer: (x - 11⁄2)² - 169⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 30cm, angle = 75°. Give your answer to 2 decimal places
Answer: 260.8cm² -
4. Ratio Combining two ratios
a:b is 1:4 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 9:36:20 -
5. Statistics Averages and range
Find the mean, median and range of: 80, 59, 75, 90, 51, 73, 60, 78, 81. Give your answer to 2 decimal places
Answer: Mean = 71.89, Median = 75, Range = 39