Keystones — Capstone
Five GCSE retrieval questions · 8 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 4.2x
Answer: (x + 2.1)² - 4.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 26cm, angle = 77°
Answer: 367.3cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 26, 63, 89, 57, 18, 24, 42
Answer: Mean = 45.6, Median = 42, Range = 71