Keystones — Lintel
Five GCSE retrieval questions · 24 January 2026 · mathsvault.uk/keystones
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1. Number Product of primes
Express 180 as a product of prime factors
Answer: 2² × 3² × 5 -
2. Algebra Linear simultaneous equations
Solve: 2x + 3y = 37 and 3x - y = 17
Answer: x = 8, y = 7 -
3. Geometry Pythagoras — short side
Find b if a = 14cm and c = 20cm
Answer: 14.28cm -
4. Ratio Combining two ratios
a:b is 1:2 and b:c is 4:3. Find a:b:c.
Answer: 2:4:3 -
5. Statistics Expected frequency
A bag has 4 red out of 14 balls. If you pick 62 times (with replacement), how many times would you expect red?
Answer: 17.7