Keystones — Capstone
Five GCSE retrieval questions · 25 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 20cm, angle = 53°
Answer: 143.8cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 8:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 33, 33, 40, 20, 18, 81, 24
Answer: Mean = 35.6, Median = 33, Range = 63