Keystones — Capstone
Five GCSE retrieval questions · 19 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
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 = 21cm, b = 23cm, angle = 40°
Answer: 155.2cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:3. Find a:b:c.
Answer: 2:4:12 -
5. Statistics Averages and range
Find the mean, median and range of: 62, 14, 64, 23, 64, 62, 63, 35, 75
Answer: Mean = 51.3, Median = 62, Range = 61