Keystones — Capstone
Five GCSE retrieval questions · 9 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 21cm, angle = 78°
Answer: 123.2cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:3. Find a:b:c.
Answer: 2:4:12 -
5. Statistics Averages and range
Find the mean, median and range of: 10, 55, 85, 74, 46, 30, 22, 76
Answer: Mean = 49.8, Median = 55, Range = 75