Keystones — Capstone
Five GCSE retrieval questions · 31 March 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 18cm, angle = 74°
Answer: 207.6cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 9:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 70, 97, 75, 60, 38, 97, 77, 62
Answer: Mean = 72, Median = 75, Range = 59