This booklet designed for students in grades 4-8 provides 52 activities, including puzzles and problems. Activities range from simple to complex, giving learners practice in finding patterns, numeration, permutation, and problem solving. Calculators should be available, and students should be encouraged to discuss solutions with classmates, parents, and other adults. Working in a group with a given time limit is also suggested. A bonus activity, usually very difficult, is included on each page for extra credit; award certificates are provided. The answer key lists possible answers, since there are sometimes several acceptable answers for an activity. The booklet is profusely illustrated with black and white line drawings and other graphics. (MNS)