Keystones — Capstone
Five GCSE retrieval questions · 20 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 + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 25cm, angle = 66°
Answer: 331.2cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 29, 30, 10, 55, 28, 24, 75, 33, 76
Answer: Mean = 40, Median = 30, Range = 66