Keystones — Capstone
Five GCSE retrieval questions · 22 November 2025 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: √75
Answer: 5√3 -
2. Algebra Completing the square
Complete the square: x² + 4x
Answer: (x + 2)² - 4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 16cm, b = 19cm, angle = 43°
Answer: 103.7cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18 -
5. Statistics Averages and range
Find the mean, median and range of: 79, 94, 40, 90, 72, 37, 37, 59
Answer: Mean = 63.5, Median = 72, Range = 57