The five questions everyone played that day, in the order they were asked, with the correct answers and why they are right.
Which fraction is the largest: 3/4, 5/8, 2/3 or 7/10?
As decimals they are 0.75, 0.625, 0.667 and 0.7. Converting to decimals (or to a common denominator) turns fraction comparisons into simple ones.
50% of players got this right
Eve is older than Fin. Gia is younger than Fin but older than Hal. Order them from youngest to oldest.
Correct order
Hal < Gia < Fin from the second clue, and Eve is older than Fin, so Eve is the oldest.
17% of players got this right
A 3×3×3 cube painted on every face is cut into 27 small cubes. How many small cubes have no paint at all?
Only the single cube in the very centre touches no face. For an n-cube, the unpainted core is (n − 2)³ — here 1³ = 1.
22% of players got this right
Arrange these into a sequence where each step adds one more than the step before.
Correct order
2 → 4 (+2) → 7 (+3) → 11 (+4): the gap grows by one each step, so the smallest gap starts the sequence.
22% of players got this right
In a room of 23 people, about how likely is it that two share a birthday?
With 23 people there are 253 possible pairs, so a shared birthday is about 50.7% likely. It feels surprising because we think about our own birthday, not all the pairs.
6% of players got this right
