Keystones — Capstone
Five GCSE retrieval questions · 13 December 2015 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √180
Answer: 6√5 -
2. Algebra Completing the square
Complete the square: x² - 3x - 1
Answer: (x - 3⁄2)² - 13⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 18cm, angle = 73°. Give your answer to 2 decimal places
Answer: 180.74cm² -
4. Ratio Combining two ratios
a:b is 2:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 14:35:5 -
5. Statistics Averages and range
Find the mean, median and range of: 28, 10, 53, 16, 35, 45, 90. Give your answer to 2 decimal places
Answer: Mean = 39.57, Median = 35, Range = 80