Keystones — Capstone
Five GCSE retrieval questions · 18 February 2012 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 2√112
Answer: 8√7 -
2. Algebra Completing the square
Complete the square: x² - 5x + 12
Answer: (x - 5⁄2)² + 23⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 21cm, angle = 51°. Give your answer to 2 decimal places
Answer: 244.8cm² -
4. Ratio Combining two ratios
a:b is 8:7 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:35:21 -
5. Statistics Averages and range
Find the mean, median and range of: 36, 71, 29, 24, 48, 29, 88. Give your answer to 2 decimal places
Answer: Mean = 46.43, Median = 36, Range = 64