Keystones — Capstone
Five GCSE retrieval questions · 11 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
2. Algebra Completing the square
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 25cm, angle = 61°
Answer: 185.9cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 6:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 97, 18, 27, 12, 19, 79, 25, 50, 38
Answer: Mean = 40.6, Median = 27, Range = 85