Make 1, 2 and 3 using exactly four 4s — nothing else
Grab paper. The Four Fours game: build each number using exactly four 4s — and no other digits.
Allowed tools: + − × ÷ ( ). That's it. No 44, no other numbers hiding in the toolbox.
Everyone gets 5 minutes, all numbers in secret, phones down.
Start easy, they think: 1, then 2, then 3. Stuck on one? Fight it longer before anyone reveals.
Everyone holds up answers at the same time. One point per number, bonus point for two different ways to make the same number.
There's no single right operation — constraints bend, minds flex
Answers exist — and not just one. 1: 4 ÷ 4 plus 4 − 4 = 1. Or ×‑style: 4 ÷ 4 × 4 ÷ 4 = 1. Even (4+4)÷(4+4) = 1.
2: 4 ÷ 4 + 4 ÷ 4 = 2.
3: (4 + 4 + 4) ÷ 4 = 3. All four-4s, no cheating.
Here's what actually happened tonight: the constraint did the teaching. With all tools allowed, "just use 4s" sounds easy — your first plan dies, you rebuild with fractions of your own making, and suddenly ÷ becomes interesting for once. Mathematicians have a name for loving exactly this feeling: recreational math — puzzles that are hard on purpose, for fun.
One warning for the parents: this was 100+ years old when it was famously printed in 1858 — old enough that your great-great-great-grandparents could have played it. Still fresh every time.