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What's on the Back?
Age
11 to 14
Short
Challenge Level
Secondary curriculum
Problem
Solutions
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 $7$
Odd
Prime
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.
This problem is taken from the
UKMT Mathematical Challenges
.
You can find more short problems, arranged by curriculum topic, in our
short problems collection
.