Keystones — Capstone
Five GCSE retrieval questions · 6 October 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 + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 12cm, angle = 59°
Answer: 108cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 4:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 73, 10, 53, 88, 19, 93, 38, 52, 10
Answer: Mean = 48.4, Median = 52, Range = 83