Keystones — Capstone
Five GCSE retrieval questions · 22 February 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√3 -
2. Algebra Completing the square
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 13cm, angle = 66°
Answer: 83.cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:5. Find a:b:c.
Answer: 8:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 41, 96, 75, 89, 86, 65, 54, 44
Answer: Mean = 68.8, Median = 75, Range = 55