Keystones — Capstone
Five GCSE retrieval questions · 9 September 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 + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 28cm, angle = 69°
Answer: 339.8cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 3:4:8 -
5. Statistics Averages and range
Find the mean, median and range of: 13, 56, 78, 75, 90, 42, 26, 76, 50
Answer: Mean = 56.2, Median = 56, Range = 77