Keystones — Capstone
Five GCSE retrieval questions · 4 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √242
Answer: 11√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 = 26cm, b = 26cm, angle = 73°
Answer: 323.2cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:5. Find a:b:c.
Answer: 4:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 59, 17, 72, 14, 13, 86, 57, 64, 17
Answer: Mean = 44.3, Median = 57, Range = 73