Keystones — Capstone
Five GCSE retrieval questions · 7 April 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
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 = 23cm, b = 28cm, angle = 68°
Answer: 298.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 32, 97, 51, 80, 79, 22, 93, 24
Answer: Mean = 59.8, Median = 79, Range = 75