Keystones — Capstone
Five GCSE retrieval questions · 18 April 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 + 2.4x
Answer: (x + 1.2)² - 1.44 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 21cm, b = 25cm, angle = 57°
Answer: 220.2cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 95, 64, 36, 70, 88, 92, 34, 35
Answer: Mean = 64.3, Median = 70, Range = 61