Keystones — Capstone
Five GCSE retrieval questions · 2 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √243
Answer: 9√3 -
2. Algebra Completing the square
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 19cm, b = 22cm, angle = 40°
Answer: 134.3cm² -
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: 93, 13, 23, 35, 59, 87, 62, 89, 28
Answer: Mean = 54.3, Median = 59, Range = 80