Keystones — Capstone
Five GCSE retrieval questions · 6 September 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 + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 25cm, angle = 78°
Answer: 293.4cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15 -
5. Statistics Averages and range
Find the mean, median and range of: 19, 63, 86, 72, 37, 63, 57
Answer: Mean = 56.7, Median = 63, Range = 67