Four cards each have a number written on one side and a phrase written on the other. The four numbers are $2$, $5$, $7$ and $12$.
The four phrases are
Divisible by $7$
Greater than $100$
On each card, the number written does not
have the property written on the other side of the card. What are the four number-property pairs?
If you liked this problem, here is an NRICH task
that challenges you to use similar mathematical ideas.