Keystones — Capstone
Five GCSE retrieval questions · 28 August 2025 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 24cm, b = 23cm, angle = 77°
Answer: 268.9cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10 -
5. Statistics Averages and range
Find the mean, median and range of: 69, 63, 54, 81, 53, 99, 20
Answer: Mean = 62.7, Median = 63, Range = 79