Math Puzzles and Games by Michael Holt

By Michael Holt

A suite of outdated and new difficulties, puzzles, video games, and diversions in accordance with likelihood, geometry, quantity styles, magic squares, and the legislation of physics.

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In this trick you say what the "thought" number is without asking a single question. You can perform the trick with several friends all at once. ). You are the magician, and you write a number from 1 through 50 and put it in an envelope. In your mind subtract your "envelope" number from 99. Say the result aloud; then tell the friends that each must add it to his number, cross out the first digit of the sum, and add that same digit to the result. He must then take away the answer from his thought number to get his final answer.

Instead we see what fits in with our experience. I should also mention that you may not see all the illusions; not every illusion may work for you. " Most of the pictures should puzzle you. Don't look at the answers until you have checked the illusions with a ruler. Illusive Lengths Which is bigger, the length AB or Be? " , A n d " • h k b w o n d 'n d ~. d;'m ker Candle Flic igger? ", The Three Streetlamps Cities used to have attractive streetlamps to light the sidewalks at night. Which of the lamps shown here is the tallest?

The sum of all the numbers in a square built around that section is a square number. For example, take the section. 9, 16,25. The numbers in the square with that as diagonal are: 9+13+17 + II + 16 + 21 +13+19+25 = 144 = 12 X 12 = 122 Try this for the section 4, 9, 16. 27 Multiplying Equals Adding?! Take two numbers and multiply them together. Now add the numbers. The two answers are the same. What are the two numbers? Well, they could both be 2, for 2 X 2 = 2 + 2. The puzzle is: How many other pairs of numbers work in this way?

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