Keystones — Capstone
Five GCSE retrieval questions · 13 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
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 = 30cm, b = 30cm, angle = 56°
Answer: 373.cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 44, 75, 57, 27, 95, 35, 42, 54
Answer: Mean = 53.6, Median = 54, Range = 68