Keystones — Capstone
Five GCSE retrieval questions · 31 January 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 + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 16cm, angle = 70°
Answer: 97.7cm² -
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: 66, 42, 64, 12, 96, 30, 79, 76
Answer: Mean = 58.1, Median = 66, Range = 84