Keystones — Capstone
Five GCSE retrieval questions · 7 October 2026 · mathsvault.uk/keystones
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1. Number Adding and subtracting surds
Simplify: 9√2 - 5√2
Answer: 4√2 -
2. Algebra Quadratic from a turning point
Find equation with turning point (3, 8) and coefficient 4
Answer: y = 4(x - 3)² + 8 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 21cm, angle = 48°
Answer: 75.7cm -
4. Ratio One amount as a percentage of another
48 out of 81 students passed. What percentage passed?
Answer: 59.3% -
5. Statistics Simple probability
A spinner has 6 red, 3 blue and 3 green sections. Probability of landing on red?
Answer: 1⁄2