##### Year 3 to Year 6: Button Up Some More

Write down the number 4, four times.

Put operation symbols between them so that you have a calculation.

So you might think of writing 4×4×4−4=60

**BUT use operations so that the answer is 12**

Now, can you redo this so that you get 15, 16 and 17 for your answers?

Need more of a challenge? Try getting answers all the way from 0 through to 10.

12=(44+4)÷4 – Here’s one solution!

16=4+4+4+4

17=(4×4)+(4÷4)

1=(4÷4)×(4÷4)

2=(4/4) + (4/4)

3=(4+4+4)÷4

6=((4+4)÷4)+4

7=(44÷4)−4

8=(4×4)−4−4

9=(4÷4)+4+4

15=(4×4)−(4÷4)

Then I came to a problem. I couldn’t do 4, 5 and 10. Then I realised that I had only used the simple operations, addition, subtraction, multiplication and division. Then I remembered about square root, factorial and powers. An example of factorial is:

4!=4×3×2×1

The first square root I tried was 4, then I realised I needed a few more. Taking these into account, I was able to do the last few problems.

4=(√4+4+4+4)

5=(√4!+(4÷4)4)

10=(√4!+(4÷4)×4)