Keystones — Capstone
Five GCSE retrieval questions · 21 November 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 + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 18cm, angle = 44°
Answer: 175.cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 4:5. Find a:b:c.
Answer: 8:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 31, 37, 16, 39, 44, 24, 75
Answer: Mean = 35.4, Median = 37, Range = 59