Keystones — Capstone
Five GCSE retrieval questions · 7 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 + 4.4x
Answer: (x + 2.2)² - 4.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 22cm, angle = 72°
Answer: 177.8cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:3. Find a:b:c.
Answer: 4:2:6 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 40, 33, 39, 68, 75, 84
Answer: Mean = 53.1, Median = 40, Range = 51