Keystones — Capstone
Five GCSE retrieval questions · 28 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 25cm, angle = 62°
Answer: 275.9cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 9:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 49, 13, 44, 14, 95, 57, 25
Answer: Mean = 42.4, Median = 44, Range = 82