You may also like

problem icon

Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

problem icon

Number Squares

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

problem icon

I'm Eight

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

2,4,6,8

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Jane and Sanjev sent us the following answer:

First we tried to make a statement using the plus on one side of the equals sign and the minus on the other, but we couldn't find one.

Then we tried to use the plus and the minus on the same side, and we got 2 + 8 - 6 = 4.

Then we tried to see what statements we could make starting with the number 2 :

2 + 4 = 6
2 + 6 = 8
2 + 8 - 4 = 6
2 + 8 - 6 = 4

We could not find any more.

Then we tried to start with the number 4 :

4 + 2 = 6
4 + 6 - 8 = 2
4 + 6 - 2 = 8

and with the number 6 :

6 + 2 = 8
6 + 4 - 2 = 8
6 + 4 - 8 = 2

and with the number 8 :

8 + 2 - 4 = 6
8 + 2 - 6 = 4
8 - 2 = 6
8 - 6 = 2

And then we can write them all the other way round, so from 2 + 4 = 6 we get 6 = 2 + 4.

That way we made 28 statements.