Keystones — Capstone
Five GCSE retrieval questions · 17 July 2026 · 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 + 2.6x
Answer: (x + 1.3)² - 1.69 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 28cm, angle = 73°
Answer: 267.8cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 12:6:12 -
5. Statistics Averages and range
Find the mean, median and range of: 55, 87, 22, 45, 85, 46, 13
Answer: Mean = 50.4, Median = 46, Range = 74