Keystones — Capstone
Five GCSE retrieval questions · 17 December 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
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 = 27cm, b = 19cm, angle = 48°
Answer: 190.6cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 46, 31, 39, 71, 50, 49, 23, 39
Answer: Mean = 43.5, Median = 46, Range = 48