Keystones — Capstone
Five GCSE retrieval questions · 20 August 2026 · mathsvault.uk/keystones
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1. Number Adding and subtracting surds
Simplify: 7√5 - 5√5
Answer: 2√5 -
2. Algebra Quadratic from a turning point
Find equation with turning point (3, 5) and coefficient 6
Answer: y = 6(x - 3)² + 5 -
3. Geometry Trigonometry — perimeter
Find perimeter: adjacent = 21cm, angle = 54°
Answer: 85.6cm -
4. Ratio One amount as a percentage of another
50 out of 98 students passed. What percentage passed?
Answer: 51% -
5. Statistics Simple probability
A spinner has 2 red, 5 blue and 6 green sections. Probability of landing on red?
Answer: 2⁄13