Keystones — Capstone
Five GCSE retrieval questions · 6 September 2026 · 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 + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 25cm, angle = 40°
Answer: 136.6cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:3. Find a:b:c.
Answer: 3:4:12 -
5. Statistics Averages and range
Find the mean, median and range of: 34, 68, 56, 88, 30, 22, 100, 72
Answer: Mean = 58.8, Median = 68, Range = 78