Keystones — Capstone
Five GCSE retrieval questions · 9 October 2026 · mathsvault.uk/keystones
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1. Number Adding and subtracting surds
Simplify: 10√2 - 5√2
Answer: 5√2 -
2. Algebra Quadratic from a turning point
Find equation with turning point (3, 9) and coefficient 2
Answer: y = 2(x - 3)² + 9 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 18cm, angle = 56°
Answer: 76.9cm -
4. Ratio One amount as a percentage of another
37 out of 81 students passed. What percentage passed?
Answer: 45.7% -
5. Statistics Simple probability
A spinner has 5 red, 3 blue and 4 green sections. Probability of landing on red?
Answer: 5⁄12