**Nothing is worse than working a problem, and not knowing if your answer**

**is right or not. This page is to reveal the answers to the various**

**problems that appear**

**in different postings on this blog.**

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__May 1, 2014__- Magic Squares

**This is one possible solution.**

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__January 30, 2014__- Learn By Heart

**1) Heart Burn**

2) Hearty

3) Heartless

4) Cross My Heart

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__January 24, 2013__
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__December 26, 2012__

**1) Jeans Problem**-

*A Story or Word Problem*

**$40.00 - 22.95 = $17.05**. No, I do not enough money to buy a shirt.

**2) Checkerboard**-

*A Process Problem*

Although this investigation seems quite simple, it requires a methodical approach if the correct answer is to be attained. The investigation involves finding out how many different squares there are on a checkerboard. You might think that there are only 64, but you would be wrong.

The diagram below shows that there are indeed 64 squares, but there are also some more.

Don't forget the one large square (shown in red here).

And, also the 16 two-by-two squares shown below (although these aren't the only 2 x 2 squares!)

There are many more different-sized squares on the checkerboard.

The complete list of answers is shown below:

The complete list of answers is shown below:

1, 8x8 square |

4, 7x7 squares |

9, 6x6 squares |

16, 5x5 squares |

25, 4x4 squares |

36, 3x3 squares |

49, 2x2 squares |

64, 1x1 squares |

Therefore, there are actually

**64 + 49 + 36 + 25 + 16 + 9 + 4 + 1**squares on a checkerboard!
(

**204 in all**). If the students manage to find all of them, ask them if they can see
a pattern in the results (i.e. the square numbers in the table).

**3) Marcus and His Free Throws**-

*A Word or Story Problem*

If you divide 30 by 5, you get an answer of 6 sets of five shots. That is the total number of

shotsMarcus attempts. If he makes 4 out of every 5 then 6 x 4 =

shotsMarcus attempts. If he makes 4 out of every 5 then 6 x 4 =

**24 free throws**.**4) Soup for Lunch**-

*A Word or Story Problem*

42 students - the 28 who had sandwiches =

**14 students who ate soup**

**5) T-Shirts**- A Process Problem

The answers are

answer by multiplying the numbers of digits (3) by the number of places (2) which equals 6,

but then you must add three because the digits can be repeated. So

**11, 13, 18, 31, 33, 38, 81, 83 and 88**. Mathematically you can find theanswer by multiplying the numbers of digits (3) by the number of places (2) which equals 6,

but then you must add three because the digits can be repeated. So

**3 x 2 + 3 = 9**different numbers.**6) Ostriches and Horses**-

*A Process Problem*

Draw 50 sticks to represent the animals' legs. By guessing and checking, the students cirlce four legs for the horses and two legs for the ostriches. The trick is to have 17 animals when all of the the legs are circled.

The answer is:

**8 horses (32 legs) and 9 ostriches (18 legs)**

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__November 29, 2012__*Drew and Addie are playing a game. At the end of each game, the loser gives the winner a chip. When they are done playing several games, Drew has won three games, but Addie has three more chips than she had when the game began. How many games did Drew and Addie play?*

The answer is:

**Drew and Addie played**

**9 games.**The best way to solve this is to get out chips or some other manipulative and work backwards through the process using the strategy of guess and check.

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**August 8, 2013**1. I have 8 grandchildren, five of whom are adopted.

2. My husband asked me to marry me on our first date.

3. I am a big KU fan. (We live in Kansas. KU stands for Kansas University, home of the Jayhawks.)

4. I have been teaching for over 30 years.

Surprise.... it's #3 that is false. I was born and raised in Ohio and did graduate work at THE Ohio State University. Go Bucks!!! And,

**yes, my husband did ask me to marry him on our fist date**. As you can tell, I eventually said, "Yes."

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