Keystones — Capstone
Five GCSE retrieval questions · 10 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√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 = 25cm, b = 13cm, angle = 79°
Answer: 159.5cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 15, 37, 14, 87, 18, 47, 79, 83
Answer: Mean = 47.5, Median = 47, Range = 73