You may also like

I'm Eight

Find a great variety of ways of asking questions which make 8.

Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Noah

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Break it Up!

Age 5 to 11 Challenge Level:

You have a stick of $7$ interlocking cubes. You cannot change the order of the cubes.

stick of seven differently coloured cubes

You break off a bit of it leaving it in two pieces.

Here are $3$ of the ways in which you can do it:

2 interlocking cubes and 5 interlocking cubes

3 interlocking cubes and 4 interlocking cubes

5 interlocking cubes and 2 interlocking cubes

In how many different ways can it be done?

Now try with a stick of $8$ cubes and a stick of $6$ cubes:

eight interlocking cubes of different colours six interlocking cubes of different colours

Make a table of your results like this:

Number of cubes

Number of ways

$6$ cubes

?

$7$ cubes

?

$8$ cubes

?

Now predict how many ways there will be with $5$ cubes.

Were you right?

How many ways with $20$ cubes? $50$ cubes? $100$ cubes?

ANY number of cubes?

* * * * * * * * * * * * * * * * * * * *

If all the cubes are the same colour, a split of $4$ and $2$ will look the same as a split of $2$ and $4$.

How many ways are there of splitting $6$ cubes now?

Can you predict how may ways there will be with any number of cubes?