Keystones — Capstone
Five GCSE retrieval questions · 30 September 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 19cm, angle = 53°
Answer: 144.2cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15 -
5. Statistics Averages and range
Find the mean, median and range of: 30, 74, 72, 53, 17, 33, 77, 74
Answer: Mean = 53.8, Median = 72, Range = 60