Keystones — Capstone
Five GCSE retrieval questions · 21 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 = 25cm, b = 23cm, angle = 75°
Answer: 277.7cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4 -
5. Statistics Averages and range
Find the mean, median and range of: 97, 35, 59, 79, 98, 99, 57
Answer: Mean = 74.9, Median = 79, Range = 64