Keystones — Capstone
Five GCSE retrieval questions · 14 July 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 17cm, angle = 61°
Answer: 185.9cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 4:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 61, 68, 41, 44, 24, 53, 31, 83, 47
Answer: Mean = 50.2, Median = 47, Range = 59