Keystones — Capstone
Five GCSE retrieval questions · 23 October 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 = 29cm, angle = 73°
Answer: 402.cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 3:5. Find a:b:c.
Answer: 9:6:10 -
5. Statistics Averages and range
Find the mean, median and range of: 78, 73, 55, 82, 71, 76, 98, 87, 74
Answer: Mean = 77.1, Median = 76, Range = 43