Keystones — Capstone
Five GCSE retrieval questions · 17 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 19cm, angle = 69°
Answer: 195.cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:3. Find a:b:c.
Answer: 4:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 16, 44, 95, 61, 97, 53, 67, 87
Answer: Mean = 65, Median = 67, Range = 81