Keystones — Capstone
Five GCSE retrieval questions · 1 October 2025 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: √108
Answer: 6√3 -
2. Algebra Completing the square
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 25cm, b = 28cm, angle = 51°
Answer: 272cm² -
4. Ratio Combining two ratios
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 4:6:9 -
5. Statistics Averages and range
Find the mean, median and range of: 75, 16, 59, 69, 55, 94, 98, 88
Answer: Mean = 69.3, Median = 75, Range = 82