Keystones — Capstone
Five GCSE retrieval questions · 6 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 15cm, angle = 59°
Answer: 141.4cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 3:5. Find a:b:c.
Answer: 2:3:5 -
5. Statistics Averages and range
Find the mean, median and range of: 79, 17, 38, 44, 85, 35, 43, 73, 85
Answer: Mean = 55.4, Median = 44, Range = 68