Disclaimer 1: I haven't seen the book, and I have no idea what exercises it offers.
Disclaimer 2: I haven't seen your brother's code.
The goal of an easy exercise is to learn how to write the perfect code. OTOH, the beginner's code tends to be sloppy. For starters, point your brother to the Code Review exchange.
When the community is comfortable, let him go on to implement classic algorithms. Algorithms library of STL is a good starting point. When he is comfortable with it, proceed with Cormen's Introduction to Algorithms.
The next step is highly subjective. In my opinion, every programmer shall eventually work the way through Charles Wetherell's Etudes for Programmers; arguably the best collection of exercises of various toughness. I wish I had this book when I was still a student. It is not for novices though.
PS: Don't let him do Project Euler (unless he is mathematically inclined). Don't let him folow the competitive sites either.