Keystones — Capstone
Five GCSE retrieval questions · 16 November 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 16cm, angle = 65°
Answer: 181.3cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 4:5. Find a:b:c.
Answer: 8:12:15 -
5. Statistics Averages and range
Find the mean, median and range of: 73, 50, 78, 99, 43, 57, 100, 26, 59
Answer: Mean = 65, Median = 59, Range = 74