Keystones — Capstone
Five GCSE retrieval questions · 29 April 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √125
Answer: 5√5 -
2. Algebra Completing the square
Complete the square: x² + 3.4x
Answer: (x + 1.7)² - 2.89 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 25cm, angle = 58°
Answer: 307.4cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 4:2:3 -
5. Statistics Averages and range
Find the mean, median and range of: 89, 47, 34, 87, 41, 29, 22
Answer: Mean = 49.9, Median = 41, Range = 67