Keystones — Capstone
Five GCSE retrieval questions · 10 September 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 + 4.8x
Answer: (x + 2.4)² - 5.76 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 20cm, b = 22cm, angle = 42°
Answer: 147.2cm² -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8 -
5. Statistics Averages and range
Find the mean, median and range of: 53, 68, 98, 64, 87, 43, 74, 69, 53
Answer: Mean = 67.7, Median = 68, Range = 55