Keystones — Capstone
Five GCSE retrieval questions · 18 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 18cm, angle = 45°
Answer: 140cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24 -
5. Statistics Averages and range
Find the mean, median and range of: 63, 96, 30, 45, 79, 37, 63
Answer: Mean = 59, Median = 63, Range = 66