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Solutions for these will be posted next month.
The L tetromino is shown to the left. Tile an 8x8 square using the L tetromino.
Tile a 7x8 square using the L tetromino.
Arrange the 8 cards in a row so that between the two aces there is one card, between the two twos is two cards, between the two threes is three cards, and between the two fours is four cards.
Here is one solution
Arrange the 16 cards into a square of four rows of four cards each, so that in each row and column each rank appears exactly once and each suit appears exactly once.
Here is one solution
Other Fun Math Web Sites
The Math Forum is a great web resource for students and teachers alike. Ask Dr. Math a question, discuss teaching math with other teachers, follow links to other math web sites, ...
National Association of Math Circles is an organization devoted to promoting math circles (don't know what a math circle is? -- then definitely visit this site).
MathWorld is a complete encyclopedia of mathematics. If you've ever wanted to know the mathematical definition of a word or phrase, this is the place to go.
The Millennium Mathematics Project is a UK-based program for math education (or as the British would write "programme for maths education"). Among the web sites they produce are
NRICH -- mathematics enrichment resources (puzzles, problems, investigations, games) for elementary through high-school students.
SNAP Math Fair has guidelines and resources for organizing and holding a "Student-centered, Non-competitive, All-inclusive, and Problem-based" Math Fair.
PLUS! -- a mathematics magazine with articles describing the beauty of pure mathematics a well as relating mathematics to the real world.
Mudd Math Facts is a collection of interesting and informative topics for math students in high school and beyond.
Math Puzzle is a great site that provides an ever growing collection of math puzzles of all sorts.
Interactive Mathematics Miscellany and Puzzles has a variety of math topics ranging from elementary to advanced.