Keystones — Capstone
Five GCSE retrieval questions · 30 March 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√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 = 23cm, b = 15cm, angle = 61°
Answer: 150.9cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 4:3:6 -
5. Statistics Averages and range
Find the mean, median and range of: 17, 56, 88, 25, 80, 96, 94
Answer: Mean = 65.1, Median = 80, Range = 79