Keystones — Capstone
Five GCSE retrieval questions · 17 April 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 + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 17cm, b = 29cm, angle = 66°
Answer: 225.2cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 26, 60, 24, 69, 42, 33, 43, 99
Answer: Mean = 49.5, Median = 43, Range = 75