Keystones — Capstone
Five GCSE retrieval questions · 3 June 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √288
Answer: 12√2 -
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 = 21cm, b = 12cm, angle = 54°
Answer: 101.9cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 1:3. Find a:b:c.
Answer: 4:6:18 -
5. Statistics Averages and range
Find the mean, median and range of: 100, 74, 97, 67, 20, 23, 35, 63
Answer: Mean = 59.9, Median = 67, Range = 80