Keystones — Capstone
Five GCSE retrieval questions · 20 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 30cm, angle = 73°
Answer: 344.3cm² -
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: 49, 91, 81, 62, 21, 12, 99, 84, 57
Answer: Mean = 61.8, Median = 62, Range = 87