## Archive for March, 2016

### Mathegories

In case you missed it, the following mathy challenge was presented by Will Shortz as the NPR Sunday Puzzle on February 28:

Find two eight-letter terms from math that are anagrams of one another. One is a term from geometry; the other is from calculus. What are the two words?

The irony of this puzzle (for me) appearing on that particular Sunday is that five days later, I delivered the keynote presentation for the Virginia Council of Teachers of Mathematics annual conference, and I had included the answer to this puzzle as one of my slides. I wasn’t trying to present an answer to the NPR Puzzle; I was merely showing the two words as an example of an anagram. The following week, Will Shortz presented the answer as part of the NPR Sunday Puzzle on March 6.

SPOILER:

**Slide from My Presentation**

(aka, the answer)

What I particularly enjoyed about the March 6 segment was the on-air puzzle presented by Shortz. He’d give a category, and you’d then have to name something in the category starting with each of the letters W, I, N, D, and S.

I’ve always heard that **good teachers borrow, great teachers steal**. So I am going to blatantly pilfer Shortz’s idea, then give it a mathy twist.

I’ll give you a series of categories. For each one, name something in that category starting with each of the letters of M, A, T, and H. For instance, if the category were *State Capitals*, then you might answer Madison, Atlanta, Topeka, and Harrisburg. Any answer that works is fine. But for many of the categories, you’ll earn bonus points for mathy variations. For instance, if the bonus rule were “+1 for each state capital that has the same number of letters as its state,” then you’d get two points for Atlanta (Georgia) and Topeka (Kansas), but only one point for Madison (Wisconsin) and Harrisburg (Pennsylvania).

There are nine categories listed below, and the maximum possible score if all bonuses were earned would be 79 points. I’ve listed my best answers at the bottom of this post, which yielded a score of 62 points. **Can you beat it?** Post your score in the comments.

Want to play this game with friends or students?Download the PDF version. |

**Movie Titles**

(+1 for a math movie)

M _____

A _____

T _____

H _____

**Historical Figures**

(+1 if the person is a mathematician or scientist)

M _____

A _____

T _____

H _____

**Games**

(+1 if the game is mathematical)

M _____

A _____

T _____

H _____

**School Subjects**

(+1 for mathematical subjects)**
**M _____

A _____

T _____

H _____

**Words with One-Word Anagrams
**(+1 if it’s a math term)

**M _____**

A _____

T _____

H _____

**Words Containing the Letter “Q”
**(+1 if it’s a math term)

**M _____**

A _____

T _____

H _____

**Math Terms
** (+3 if all four terms are related, loosely defined as “could be found in the same chapter of a math book”)

**M _____**

A _____

T _____

H _____

**Words Containing the Letters M, A, T, and H**(+1 if the letters appear in order, though not necessarily consecutively; +2 if consecutive)

**M _____**

A _____

T _____

H _____

**Words with a Single-Digit Number Word Inside Them
**(such as

*asi*, but -1 if the number word is actually used numerically, such as

**nine***; +2 if the single-digit number is split across two or more syllables)*

**four**thsM _____

A _____

T _____

H _____

*The following are my answers for each category.*

**Movie Titles
**

*Moebius*,

*Antonia’s Line*,

*Travelling Salesman*,

*(A) Hill on the Dark Side of the Moon*

(8 points)

**Historical Figures
**Mandelbrot, Archimedes, Turing, Hypatia

(4 points)

**Games**

Mancala, Angels and Devils, Tic-Tac-Toe, Hex

(8 points)

**School Subjects**

Mathematics, Algebra, Trigonometry, History

(7 points)

**Words with One-Word Anagrams
**mode (dome), angle (glean), triangle (integral), heptagon (pathogen)

(8 points)

**Words Containing the Letter “Q”
**manque, aliquot, triquetrous, harlequin

(6 points)

**Math Terms**

median, altitude, triangle, hypotenuse

(7 points)

**Words Containing the Letters M, A, T, and H**

ma

**t**c

**h**, aro

**math**erapy,

**th**e

**ma**tic, ho

**m**eop

**ath**ic

**(8 points)**

**Words with a Single-Digit Number Word Inside Them
**mezza

**nine**, ar

**two**rk, t

**one**, h

**eight**

(6 points)

### How Dumb Are You?

I recently purchased the book *How Smart Are You? Test Your IQ *for the same reason that I always purchase books like this — often, there are one or two gems buried amid a pile of mundane, mind-numbing questions.

Having just finished the last quiz, here’s all you need to know about this book:

- I found it on the discount table at Barnes and Noble.
- There is a picture of a wise, all-knowing owl on the front cover. (Ooh, an owl! I feel smart already!)
- The tag line on the cover reads, “Calculate Your IQ in Minutes,” yet the Introduction states, “Your scores will not reflect your actual intelligence.”

When it comes to measuring your IQ using this book, the following scale will be more effective than anything you’ll find between the covers:

Did You Buy this Book? |
IQ Score |

Bought | < 75 |

Didn’t | > 125 |

The book contains 50 quizzes with 10 questions each. Each question is worth 16.5 points, so your IQ is found by multiplying the number correct on a given quiz by 16.5.

**I hate to deliver the bad news. **

**The results of your IQ test have come back negative.**

Sadly, there were no gems among the 500 questions in the book. (Honestly, I found it more difficult to calculate my score than to answer most of the questions.) Yet there were quite a few duds. And that’s where we’ll start today’s story.

One question asked the reader to identify the next number in the series:

5, 13, 21, 29, 37, 44, …

You may notice that 5 **+ 8** = 13, 13 **+ 8** = 21, and 21 **+ 8** = 29, so you might think that the rule is “add 8.” But 37 **+ 8** ≠ 44, so the pattern fails. You don’t even need to check the addition, though; since the first term is odd and the common difference is even, all terms must be odd. The number 44 should have stuck out like a sore thumb to any editor worth his salt. Yet that did not stop the author from listing 44 + 8 = 52 as the correct answer.

Similarly, another problem asked:

A high school has 40 students in its senior class. Forty percent of the seniors are taking physics, 30 percent are taking chemistry, and

10 percent are taking neither. How many seniors are takingneitherphysics or chemistry? (Ed. note: emphasis added.)

You might first think that 4 students are taking neither physics nor chemistry (nevermind that the problem used *or* instead of *nor*), since the problem says that 10% are taking neither, and 10% of 40 is 4. Upon seeing the correct answer listed as 16 students, you might then think, “What the f**k?” And that would be a justifiable reaction. I suspect that this was meant to be one of those questions where the numbers in the three groups adds to more than 100%, so the overlap becomes important, but this problem is an epic fail as presented.

**Some people should have to pass an IQ test
to drive or reproduce. Fail the test,
you get birth control and a bus pass. **

A little later, on a quiz titled “Unscramble the Letters I,” readers were directed to unscramble the letters

delif

to create an English word or name.

The Internet Anagram Server says that there are three: *field*, *filed*, *flied*. Finding one of them without the Internet seems like a reasonable challenge. But within the book, the problem is presented as a **multiple-choice question**:Oh, my. Anyone smart enough to read a book would see immediately that *fled* doesn’t have enough letters, *flies* has an *s* instead of the requisite *d*, and *delight* has too many letters. How many people have been misled by this quiz, scoring a 165 and then thinking that they were Harvard material?

My favorite in this section, though, was the scrambled-letter collection

lydarceptt

which I immediately recognized to be *pterodactyl*, but then thought, “No, wait, there’s no *o*.” Yet *pterodactyl* was the only reasonable option among the four answer choices (*Pericles*, *lethargic*, *pterodactyl*, and *pictogram*), so I ignored the omission and collected another perfect score of 165. (Yay, me!)

As I said above, there were no gems, but I’ll end with the only problem in the entire book that I even mildly enjoyed:

A car traveled 281 miles in 4 hours and 41 minutes. What was the car’s average speed in miles per hour?

This one was also presented as a multiple-choice question, but it’s more fun to solve without the options. Have at it.