Keystones — Capstone
Five GCSE retrieval questions · 25 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 29cm, angle = 49°
Answer: 262.6cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 4:5. Find a:b:c.
Answer: 3:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 52, 54, 95, 64, 49, 69, 72, 38
Answer: Mean = 61.6, Median = 64, Range = 57