Keystones — Capstone
Five GCSE retrieval questions · 19 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √200
Answer: 10√2 -
2. Algebra Completing the square
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 28cm, b = 25cm, angle = 54°
Answer: 283.2cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 4:5. Find a:b:c.
Answer: 16:12:15 -
5. Statistics Averages and range
Find the mean, median and range of: 85, 94, 64, 78, 42, 25, 73
Answer: Mean = 65.9, Median = 73, Range = 69