Keystones — Capstone
Five GCSE retrieval questions · 14 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 + 4.6x
Answer: (x + 2.3)² - 5.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 29cm, angle = 41°
Answer: 209.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 38, 49, 58, 46, 82, 32, 54, 27, 32
Answer: Mean = 46.4, Median = 46, Range = 55