Keystones — Capstone
Five GCSE retrieval questions · 7 February 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √363
Answer: 11√3 -
2. Algebra Completing the square
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 22cm, b = 22cm, angle = 40°
Answer: 155.6cm² -
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: 84, 35, 69, 55, 90, 66, 96
Answer: Mean = 70.7, Median = 69, Range = 61