By Michael Holt
A suite of previous and new difficulties, puzzles, video games, and diversions in accordance with chance, geometry, quantity styles, magic squares, and the legislation of physics.
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Additional resources for Math Puzzles and Games
To present the trick, make a board of nine "Secret Signs" like the one shown here. You'll also need a blackboard for your chosen spectator to write on. A sheet of paper clipped to a board will do as well. Invite the spectator to step up to the board. Now you turn your back and give the following instructions: 31 You say: "Write the last three digits of your telephone number on the board. Make sure the digits are all different, that's all. " Stress to your audience that you cannot possibly know what the digits are.
The Three Streetlamps Cities used to have attractive streetlamps to light the sidewalks at night. Which of the lamps shown here is the tallest? Railroad Track This is a very famous illusion. Which of the two horizontal lines-that is, the ties between the tracks-is the longer? 51 Target Square The target circles look true enough. But what about the square? 52 Squaring the Circles Which of the two circles is bigger? The Flap Tabletop You know those tables with flaps on two sides. The picture shows three flap tables.
What is this pattern? You should find the same pattern whatever four numbers you start with. Do you? Take Any Three-Digit Number Take any three-digit number with each digit different-say, 123. Now write the same three digits again to make a six-digit number; 123 becomes 23 123,123. Now divide by 7, then by 11, finally by 13, and I predict you will have the first three digits you began with. It works for any three digits. Can you say why it works? Five 25 Can you write the numbers 0 through lOusing five figure 2s, no more and no less, and the usual signs: +, -, X, +, and parentheses?