Keystones — Capstone
Five GCSE retrieval questions · 9 April 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 23cm, angle = 61°
Answer: 221.3cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 87, 60, 98, 85, 29, 17, 76, 78, 39
Answer: Mean = 63.2, Median = 76, Range = 81