Keystones — Lintel
Five GCSE retrieval questions · 26 September 2026 · mathsvault.uk/keystones
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1. Number Product of primes
Write 60 as a product of its prime factors
Answer: 2² × 3 × 5 -
2. Algebra Linear simultaneous equations
Solve: 2x + 3y = 20 and 3x - y = 19
Answer: x = 7, y = 2 -
3. Geometry Pythagoras — short side
Find b if a = 8cm and c = 16cm
Answer: 13.86cm -
4. Ratio Combining two ratios
a:b is 2:1 and b:c is 1:3. Find a:b:c.
Answer: 4:2:6 -
5. Statistics Expected frequency
A bag has 3 red out of 14 balls. If you pick 80 times (with replacement), how many times would you expect red?
Answer: 17.1