Keystones — Capstone
Five GCSE retrieval questions · 9 August 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √98
Answer: 7√2 -
2. Algebra Completing the square
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 15cm, b = 14cm, angle = 54°
Answer: 84.9cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:2. Find a:b:c.
Answer: 2:4:8 -
5. Statistics Averages and range
Find the mean, median and range of: 79, 95, 93, 38, 98, 13, 78, 32, 98
Answer: Mean = 69.3, Median = 79, Range = 85