Keystones — Capstone
Five GCSE retrieval questions · 30 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 18cm, angle = 60°
Answer: 179.3cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 3:4. Find a:b:c.
Answer: 4:3:4 -
5. Statistics Averages and range
Find the mean, median and range of: 26, 52, 39, 52, 71, 14, 87, 78, 91
Answer: Mean = 56.7, Median = 52, Range = 77