This is a good activity for enrichment after an assessment or before a vacation. It is a good way to reinforce concepts, especially order of operations. You can let students work individually, in groups, or as a class.
When I was in grade school, I had a math teacher who would give us a challenge each year to use the four digits in the year to generate as many numbers from 1 to 100 as we could. I'm old, and the numbers were more interesting then. Now with a 2 and a 0 in the mix, that's not as interesting.
I reworked this challenge to use all ten digits, once and only once, to find a chosen number as many ways as possible.
In trying this with my students, I found it necessary to exclude multiplying by zero. It makes it far to easy to make any unwanted digits go away.
You can include as many operations and functions as you have covered. If you have covered fractions, let them make fractions; if you have covered factorial, let them use factorial.
There are both Word files and PDF files. If you'd like to make modifications for your class, you can easily change the Word files to suit your needs.