Keystones — Capstone
Five GCSE retrieval questions · 31 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√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 = 12cm, angle = 76°
Answer: 174.7cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 85, 68, 50, 15, 74, 96, 23, 61
Answer: Mean = 59, Median = 68, Range = 81