Keystones — Capstone
Five GCSE retrieval questions · 13 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 30cm, b = 28cm, angle = 53°
Answer: 335.4cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:5. Find a:b:c.
Answer: 8:12:15 -
5. Statistics Averages and range
Find the mean, median and range of: 72, 90, 35, 62, 72, 100, 30, 59, 69
Answer: Mean = 65.4, Median = 69, Range = 70