Keystones — Capstone
Five GCSE retrieval questions · 31 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√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 = 18cm, b = 28cm, angle = 73°
Answer: 241cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 67, 100, 80, 61, 15, 61, 57, 29
Answer: Mean = 58.8, Median = 61, Range = 85