Keystones — Capstone
Five GCSE retrieval questions · 17 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 13cm, angle = 73°
Answer: 174cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 18, 37, 59, 99, 85, 43, 93, 19, 65
Answer: Mean = 57.6, Median = 59, Range = 81