Are these good recreational math problems for GED students?

I have 3 students preparing for the GED. We are up to fractions and decimals with just a little bit of algebra. Ideally, it would be nice if I can get the students to think just a little outside the box. For example, I gave them the problem of guessing the average of 1, 2, 3, 4 and 5 before calculating it. One student got it. I was thinking that some recreational math might be fun and give practice in problem solving.

This one I think should be fairly easy. There are socks in a dresser drawer of 5 different colors. One day you can’t decide what color to choose, so you devise a plan to randomly remove one at a time until you get two with the same color. What is the largest number of socks you could select before there were two of the same color.

This one may be more difficult, but it can be solved with a simple trick. Divide the numbers 1 to 12 into two groups so that each group adds up to the same number.