Keystones — Capstone
Five GCSE retrieval questions · 5 February 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√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 = 29cm, b = 26cm, angle = 66°
Answer: 344.4cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:3. Find a:b:c.
Answer: 3:2:6 -
5. Statistics Averages and range
Find the mean, median and range of: 31, 45, 63, 40, 65, 78, 65, 28, 54
Answer: Mean = 52.1, Median = 54, Range = 50