Keystones — Capstone
Five GCSE retrieval questions · 27 July 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 + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 16cm, angle = 73°
Answer: 130.cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 4:3:6 -
5. Statistics Averages and range
Find the mean, median and range of: 48, 19, 65, 93, 33, 67, 95
Answer: Mean = 60, Median = 65, Range = 76