Keystones — Capstone
Five GCSE retrieval questions · 1 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √128
Answer: 8√2 -
2. Algebra Completing the square
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 19cm, angle = 57°
Answer: 183.2cm² -
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: 48, 35, 23, 27, 94, 51, 85, 81, 25
Answer: Mean = 52.1, Median = 48, Range = 71