Puzzle #212: Magic Square

A 3-by-3 magic square contains the integers from 6 to 14.  (Each row, column, and diagonal adds up to the same number.)

Given the clues following, what integer is in each square?

The number in the top-right corner square is 10, 11, or 12.

The corner squares’ values are either all odd or all even.

The bottom-center number is 7, or 14, or maybe 13.

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, June 28, 2017 at noon Pacific Time. I will post the answer shortly after.

Puzzle #210 Solution: Class Groups

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Interesting Snack

I have lately started snacking on roasted seaweed. It is quite popular in Japan.

One of the things that struck me about it is the size of the package: only five grams. It comes in nine sheets that are about 6 by 9 cm each.

Eating it one sheet at a time, I have noticed that a lot of my eating of snack foods has been rather automatic: just stuffing it in. This is important to me since I need to lose some weight. I hope it is useful to you.

Odd Language #208: Right-Hand What?

A recent SoraNews24 article has an odd sentence: “The actual shrine itself, though, is hidden from view so you’ll need to walk through the torii, then make your way around the right-hand coast of the island.”

The issue: “right-hand coast”? It is correct, but it is definitely not the way I would express it. How about you?

Note that the link is correct. SoraNews24 recently changed their name from RocketNews24, but they have not fully updated their Website yet.

Puzzle #211: Marbles

You have some one-colour marbles, each one of red, orange, yellow, green, blue, and violet. No two marble counts of a colour add up to twelve. There is at least one and no more than nine of each colour. There is exactly one sequence of three consecutive marble counts of a colour (like 4, 5, and 6). The number of marbles of each colour is different. Only one marble count of a colour is a square.

What are each of the six marble counts? Note that, in this puzzle, you do not need to figure out which count goes with which colour.

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, June 21, 2017 at noon Pacific Time. I will post the answer shortly after.

Puzzle #209 Solution: Olde Money

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Point-of-View Blindness

You have a point-of-view. It lets you see some things. Unfortunately, if you use it wrong, it can prevent you from seeing things.

I was recently talking with someone (Dan) who is having trouble with math. He sees that. He tried to get help from another student who does understand the math Dan is having trouble with. The other student, though, does not understand how Dan does not understand. Because of that, his explanations confused Dan more than ever.

That other student would not make a good math tutor. Understanding math is not enough. One also has to understand how someone else could fail to understand. That requires stepping past one’s immediate point-of-view.

There is nothing special about your point of view other than it being yours. It might not be enough when you are dealing with others. Consider that the next time you try to teach or persuade someone else.

Odd Language #207: The Check?

One sequential art title that I follow is Misfile. A recent strip had one character describing her relationship with her parents: ‘”There’s very little I can’t do as long as it’s legal and they don’t have to be involved outside of a check.”’

The issue: Bad parenting aside, this sentence is ambiguous. The word “check” could mean a check by the parents (that things are OK) or a cheque (as in “Pay to the order of …”). I was puzzled briefly as to which.

Note that in my written style (which leans to British spellings), this would not be ambiguous since the second type is spelled “cheque”. (And I spelled it that way above. I was going to correct it, but since I think that “cheque” is the correct spelling, I did not.)

Puzzle #210: Class Groups

There are eight students in a class. There is a project assignment which is to be completed by teams of two students. How many ways can the students be grouped into four pairs?

(Warning: 1&2, 3&4, 5&6, 7&8 and 4&3, 7&8, 2&1, 6&5 are the same grouping.)

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, June 14, 2017 at noon Pacific Time. I will post the answer shortly after.

Puzzle #208 Solution: Seventy-Five Cents

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