Keystones — Capstone
Five GCSE retrieval questions · 11 October 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
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 = 13cm, b = 18cm, angle = 41°
Answer: 76.8cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 2:3:6 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 19, 91, 28, 34, 70, 51
Answer: Mean = 43.4, Median = 34, Range = 80