Keystones — Capstone
Five GCSE retrieval questions · 8 February 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 + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 14cm, b = 19cm, angle = 44°
Answer: 92.4cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 82, 12, 64, 75, 77, 48, 13
Answer: Mean = 53, Median = 64, Range = 70