Keystones — Capstone
Five GCSE retrieval questions · 19 December 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 + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 17cm, angle = 72°
Answer: 97cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16 -
5. Statistics Averages and range
Find the mean, median and range of: 59, 93, 62, 36, 22, 22, 45, 57
Answer: Mean = 49.5, Median = 57, Range = 71