Keystones — Capstone
Five GCSE retrieval questions · 1 August 2025 · 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 + 4.2x
Answer: (x + 2.1)² - 4.41 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 13cm, angle = 68°
Answer: 126.6cm² -
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: 14, 30, 36, 50, 95, 55, 42, 24
Answer: Mean = 43.3, Median = 42, Range = 81