Keystones — Capstone
Five GCSE retrieval questions · 13 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
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 = 23cm, b = 23cm, angle = 72°
Answer: 251.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:3. Find a:b:c.
Answer: 3:2:6 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 78, 66, 33, 24, 25, 78, 65
Answer: Mean = 47.5, Median = 65, Range = 67