Keystones — Capstone
Five GCSE retrieval questions · 21 May 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 + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 25cm, angle = 70°
Answer: 187.9cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 4:3. Find a:b:c.
Answer: 16:12:9 -
5. Statistics Averages and range
Find the mean, median and range of: 51, 41, 29, 52, 47, 23, 27, 58, 23
Answer: Mean = 39, Median = 41, Range = 35