Keystones — Lintel
Five GCSE retrieval questions · 22 January 2026 · mathsvault.uk/keystones
-
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 + 2y = 32 and x + 4y = 40
Answer: x = 8, y = 8 -
3. Geometry Pythagoras — short side
Calculate the missing side: a = 11cm, c = 22cm
Answer: 19.cm -
4. Ratio Combining two ratios
a:b is 2:5 and b:c is 5:4. Find a:b:c.
Answer: 2:5:4 -
5. Statistics Expected frequency
A bag has 2 red out of 10 balls. If you pick 54 times (with replacement), how many times would you expect red?
Answer: 10.8