### Shapes in the Alphabet

In this problem, we're going to find sets of letter shapes that go together.

### Logic Block Collections

What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?

### Our Numbers

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

# I Like ...

##### Stage: 1 Challenge Level:

Milo thought that

We would have to test all 25 numbers to be sure what his rule was.  Do you agree?

Helen of Lea Valley Primary school had a good idea:

For the "I like these numbers" I put $\{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24\}$ because they are even and for "I don't like" I put $\{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25\}$ because they are odd.

Kate of Bilton Junior School exclaimed:

It is the five times table, well it has to be! What do you think?

Rischabh of  the European School of Varese was unsure and wants more information:

It is either odd numbers, or the five times table. I would like to try number $7$. If it goes on the left, it means it's the odd numbers, and if it goes on the right, it's the five times table. I will also try $10$ to be sure.

What if the number $7$ and the number $10$ went into the "I don't like" section. Are there any other possibilities?

Simran said:  The rule might be to select the numbers with units of $5$.

On the other hand what might the rule be if we tried $7$ and $10$ and both numbers went into the "I like" section?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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