Keystones — Capstone
Five GCSE retrieval questions · 11 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √192
Answer: 8√3 -
2. Algebra Completing the square
Complete the square: x² + 4.6x
Answer: (x + 2.3)² - 5.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 22cm, angle = 67°
Answer: 253.cm² -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 1:3. Find a:b:c.
Answer: 2:4:12 -
5. Statistics Averages and range
Find the mean, median and range of: 97, 79, 44, 29, 100, 84, 59
Answer: Mean = 70.3, Median = 79, Range = 71