Keystones — Capstone
Five GCSE retrieval questions · 31 October 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: 5x² + 60x + 5
Answer: 5(x + 6)² - 175 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 14cm, angle = 75°. Give your answer to 2 decimal places
Answer: 101.42cm² -
4. Ratio Combining two ratios
a:b is 7:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 49:28:8 -
5. Statistics Averages and range
Find the mean, median and range of: 36, 36, 57, 39, 31, 42, 83, 87. Give your answer to 2 decimal places
Answer: Mean = 51.38, Median = 40.5, Range = 56