Keystones — Capstone
Five GCSE retrieval questions · 18 March 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 29cm, angle = 77°
Answer: 367.3cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 3:5. Find a:b:c.
Answer: 4:3:5 -
5. Statistics Averages and range
Find the mean, median and range of: 22, 11, 35, 96, 28, 84, 12
Answer: Mean = 41.1, Median = 28, Range = 85