Keystones — Capstone
Five GCSE retrieval questions · 30 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
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 = 26cm, b = 25cm, angle = 75°
Answer: 313.9cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:5. Find a:b:c.
Answer: 4:2:5 -
5. Statistics Averages and range
Find the mean, median and range of: 14, 49, 46, 74, 85, 100, 49, 39
Answer: Mean = 57, Median = 49, Range = 86