Keystones — Capstone
Five GCSE retrieval questions · 5 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 30cm, angle = 58°
Answer: 330.7cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 4:6:9 -
5. Statistics Averages and range
Find the mean, median and range of: 27, 20, 56, 30, 14, 66, 77
Answer: Mean = 41.4, Median = 30, Range = 63