Keystones — Capstone
Five GCSE retrieval questions · 29 May 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
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 = 20cm, b = 25cm, angle = 69°
Answer: 233.4cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 12:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 93, 17, 93, 79, 45, 57, 59
Answer: Mean = 63.3, Median = 59, Range = 76