Keystones — Capstone
Five GCSE retrieval questions · 4 July 2026 · mathsvault.uk/keystones
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1. Number Adding and subtracting surds
Simplify: 9√3 - 8√3
Answer: 1√3 -
2. Algebra Quadratic from a turning point
Find equation with turning point (5, 9) and coefficient 4
Answer: y = 4(x - 5)² + 9 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 14cm, angle = 46°
Answer: 48.7cm -
4. Ratio One amount as a percentage of another
39 out of 97 students passed. What percentage passed?
Answer: 40.2% -
5. Statistics Simple probability
A spinner has 2 red, 3 blue and 5 green sections. Probability of landing on red?
Answer: 1⁄5