Keystones — Capstone
Five GCSE retrieval questions · 22 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 12cm, b = 23cm, angle = 75°
Answer: 133.3cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 3:4:8 -
5. Statistics Averages and range
Find the mean, median and range of: 69, 53, 48, 50, 62, 81, 75
Answer: Mean = 62.6, Median = 62, Range = 33