Below are some challenge problems for CS 70. Be forewarned that some of them are indeed, quite challenging. Because I am not involved in actually writing the exams, I can make no guarantees as to how similar the difficulty of these problems will be. However, in my past experience, these problems should be near exam-level or higher. The particularly difficult ones are marked as *Challenge*.
Proof Techniques and Solutions
Stable Marriage and Solutions
Graphs, Trees, and Hypercubes and Solutions
Modular Arithmetic and Polynomials and Solutions
Countability and Counting and Solutions
Basic Probability and Solutions
Conditional Probability and Solutions
Expectation, Variance, and Bounds and Solutions
Distributions and Solutions