Keystones — Capstone
Five GCSE retrieval questions · 30 August 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 + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 27cm, b = 22cm, angle = 59°
Answer: 254.6cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:5. Find a:b:c.
Answer: 2:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 40, 95, 28, 72, 74, 74, 91
Answer: Mean = 63.4, Median = 74, Range = 67