Keystones — Capstone
Five GCSE retrieval questions · 1 February 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √147
Answer: 7√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 = 12cm, b = 13cm, angle = 72°
Answer: 74.2cm² -
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: 56, 57, 21, 65, 34, 96, 90, 69
Answer: Mean = 61, Median = 65, Range = 75