Keystones — Capstone
Five GCSE retrieval questions · 11 December 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 + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 26cm, b = 20cm, angle = 79°
Answer: 255.2cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 8:6:9 -
5. Statistics Averages and range
Find the mean, median and range of: 27, 83, 69, 98, 27, 78, 69
Answer: Mean = 64.4, Median = 69, Range = 71