Keystones — Capstone
Five GCSE retrieval questions · 4 October 2017 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √405
Answer: 9√5 -
2. Algebra Completing the square
Complete the square: 3x² + 6x + 12
Answer: 3(x + 1)² + 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 14cm, angle = 41°. Give your answer to 2 decimal places
Answer: 124cm² -
4. Ratio Combining two ratios
a:b is 3:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 24:40:35 -
5. Statistics Averages and range
Find the mean, median and range of: 30, 69, 13, 97, 81, 67, 90, 79, 82. Give your answer to 2 decimal places
Answer: Mean = 67.56, Median = 79, Range = 84