Keystones — Capstone
Five GCSE retrieval questions · 16 February 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 15cm, angle = 77°
Answer: 138.8cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 4:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 68, 55, 30, 54, 26, 23, 37
Answer: Mean = 41.9, Median = 37, Range = 45