Keystones — Capstone
Five GCSE retrieval questions · 6 March 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√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 = 30cm, b = 28cm, angle = 41°
Answer: 275.5cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:3. Find a:b:c.
Answer: 8:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 14, 80, 19, 20, 58, 80, 83, 20
Answer: Mean = 46.8, Median = 58, Range = 69