Keystones — Capstone
Five GCSE retrieval questions · 27 April 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 = 24cm, b = 22cm, angle = 64°
Answer: 237.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 16, 24, 77, 49, 96, 16, 87, 78, 22
Answer: Mean = 51.7, Median = 49, Range = 80