Keystones — Capstone
Five GCSE retrieval questions · 4 October 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 + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 25cm, angle = 79°
Answer: 171.8cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 60, 83, 21, 69, 35, 79, 28, 90, 93
Answer: Mean = 62, Median = 69, Range = 72