LogicPuzzle(Contest)

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Slide 1

The following are a few puzzles I’ve gathered from various sources. Although some “solutions” are given as you click through the slideshow, the glory is achieved by solving it on your own. The strong-of-heart might even consider going onto VoiceThread and sharing their thoughts and ideas with the rest of us (see link below). Either way, enjoy and have fun. Share your expertise on VoiceThread Robert Fant Mathematics Instructor Technology Enthusiast Teacher Guide

Slide 2

There are 6 pails, 3 of the pails are filled with water. Can you move only one pail and make a pattern of: full pail, empty pail, full pail, empty pail, full pail, empty pail?

Slide 3

There are 6 coins arranged into a cross, 3 in the row and 4 in the column. Can you move 1 coin to form a cross with 4 coins in the row and 4 coins in the column?

Slide 5

Using only the integers between 1 through 9 (inclusive), place them along the sides of the triangle to ensure the sum of each side is the same. NOTE: Use each integer only once. 5 7 2 4 1 8 3 6 9 Solution 1: All three sides sum to 21

Slide 6

Using only the integers between 1 through 9 (inclusive), place them along the sides of the triangle to ensure the sum of each side is the same. NOTE: Use each integer only once. 5 7 2 4 1 8 3 6 9 Solution 2: All three sides sum to 20

Slide 7

All of the pigs are inside a single, square pen. Draw 2 more squares to provide each pig with its own pen.

Slide 8

How many squares are represented in this diagram? 14 Squares! 9 squares, measuring (1 X 1). 1 square, measuring (3 X 3). 4 squares, measuring (2 X 2).

Slide 9

Use each integer, 1 through 9, only once. Place an integer in each circle, so that the sum of the outside triangle is twice the sum of the inside triangle. 9 8 7 3 2 1 6 5 4 Is there more than 1 answer?

Slide 10

Do they have a fourth of July in China? It’s only a holiday in the United States.

Slide 11

What’s the answer when you divide 30 by one-half and add 10? 70

Slide 12

If you take two tomatoes from five tomatoes, how many tomatoes do you have? I’ve got two tomatoes. How many did you get?

Slide 13

How many times can you take three oranges from twelve oranges? As I see it, there are only 9 oranges left. I can only take 3 from twelve one time.

Slide 14

A farmer has 17 sheep and all but 9 die. How many are left?

Slide 15

How many two-cent stamps are there in a dozen?

Slide 16

A clerk in the butcher shop is 5'10" tall. What does he weigh? Let me just weigh that “meat” for you!

Slide 17

In the Tour de France, what is the position of a rider, after he passes the second placed rider? 2nd Place 3rd Place

Slide 18

Here are three answers: A) Answer A B) Answer A or B C) Answer B or C The Question: There is only one correct answer to this question. Which answer is this? If answer A were correct, Then answer B (“Answer A or B”) would be correct also. If answer B were correct, Then answer C (“Answer B or C”) would also be correct. This leads to the conclusion that if either answer A or answer B would be the correct answer, there are at least two correct answers. This contradicts with the statement that "there is only one correct answer to this question".

Slide 19

How many two digit counting numbers exist such that the tens digit is larger than the ones digit? Hint: A “stem-and-leaf” plot might come in handy. 0 1 2 3 4

Slide 20

What is the greatest, odd factor of 4,664?

Slide 21

A rectangle is divided into four smaller rectangles whose areas in square centimeters are 35, 42, 10, and N, as shown. The length of each side of every rectangle is a whole number. What is the value of N, in square centimeters?

Slide 22

Carol chooses a number. She multiplies it by 4, then adds 8, then divides by 4 and finally subtracts 8. Her end result is 4. What number did she choose?

Slide 23

In lowest terms, what is the product of this multiplication?

Slide 24

The large square shown contains smaller squares A, B, and C. Their areas are 9, 16, and 9 square centimeters respectively. How many square centimeters are in the area of the shaded region? 10 4 10 6

Slide 25

In simplest terms, what is the value of the following?

Slide 26

Last week Emily beat Jessica at checkers in 20% of their matches. Jessica won 12 matches. How many matches did Emily win?

Slide 27

The sum of 7 consecutive integers is 105. What is the sum of the least and greatest of these integers?

Slide 28

During a trip, Megan passed mile marker 142 on the highway at 9:10 AM, and mile marker 152 at 9:25 AM. Her speed was constant for the whole trip. At what time did she pass mile marker 166?

Slide 29

When a certain tank of water is 80% empty, it contains 11 gallons. How many gallons can the tank hold when it is full?

Slide 30

As shown, the large circle contains three touching congruent circles whose centers all lie on the diameter of the large circle. The circumference of each small circle is . If represents the area of the large circle, what number does represent?

Slide 31

Find the value of the sum:

Slide 32

First, thank you for viewing and utilizing my work. I hope you find it useful and your students find it challenging and fun. If you intend to use this tool with your students, I would suggest that you become familiar with each problem before showing it. Some problems have sounds attached and you’ll want to know when they are supposed to play. Some have hints while others just jump directly to the / a solution. (You may not want to give it away so quickly). You can create similar learning modules, easily: These animations were created in PowerPoint and converted to Flash using a free program called “iSpring”. If you don’t have your own server, you can upload your PPT files onto “Slideboom.com”, and embed them into your web or wiki pages. Finally, if you notice a typo or something blatantly wrong, please notify me and I’ll get it fixed as soon as possible. Any other comments are welcome also. email: rfantster@gmail.com website: http://robertfant.com

Summary: Enjoy a few logic puzzles, some solved, some not. :)

Tags: contest puzzle mathematics logic

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