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Mathematical Quickies: 270 Stimulating Problems with Solutions (Dover Recreational Math) Paperback – October 1, 1985

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Product Details

  • Series: Dover Recreational Math
  • Paperback: 240 pages
  • Publisher: Dover Publications (October 1, 1985)
  • Language: English
  • ISBN-10: 0486249492
  • ISBN-13: 978-0486249490
  • Product Dimensions: 5.5 x 0.5 x 8.5 inches
  • Shipping Weight: 8.8 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,036,217 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

17 of 19 people found the following review helpful
Problems with easy, quick solutions if you approach it right
By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on July 10, 2000
Format: Paperback
The best problems conform to the following pattern:

1) Easy to state and understand.
2) Appear difficult to solve and in fact are hard to solve if the approach is wrong.
3) Easy to solve if the proper techniques are applied.

All 270 problems in this collection satisfy these criteria. Taken from the `Quickies' column in Mathematics Magazine, these are excellent problems that will tax you if you approach them from the wrong direction. However, once stated, the solution is obvious, and often can be understood by someone with only an advanced high school mathematics background. These problems or their logical variants, form a pool of problems from which you can find many to serve as either challenge problems or even slightly offbeat examination problems. My favorite is the following:

Ten letters are placed in ten pre-addressed envelopes at random. What is the probability that exactly nine letters were placed in the proper envelope?

The answer is zero, since if nine are placed in the correct envelope the tenth must have been as well.

I first read this book about ten years ago and was impressed with the brevity, elegance and at times obvious nature of the solutions. When reading it again in preparation for this review, those emotions were revisited.
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8 of 10 people found the following review helpful
Not all such quickies
By V. Natarajan on July 3, 2005
Format: Paperback
Many of these problems are indeed quite elegant, but way too many (generally the geometric ones) require the use of theorems that even many math majors may not know -- this is more for the "contest math" genius in high school more than necesasrily a math major, and even they may not know the theorems required.

And not all of these problems are necessarily "quickies". For instance, one asks multiplcation of a very large number by 125 -- the quickie solution is to multiply by 1000 and divide by 8, but this is not even so "quick".
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1 of 1 people found the following review helpful
Challenging, Fun and Efficient
By Earl Whitney on December 6, 2012
Format: Paperback
So, a complaint of another reviewer is that these problems may require knowledge of Theorems the reader will not know. Isn't that the point? If you knew everything, you could write the book. If you don't, you can learn from the book. My greatest pleasure in reading this was not from the problems I could do easily, but from the ones I could not. Reading the elegant solutions to the problems I had difficulty with resulted in many "Ah hah!" moments and I felt like I was honing my mathematical skills as I hopped around the book. If you want something easy, go elsewhere. If you want to be challenged and to learn shortcuts and elegant solutions to sometimes difficult problems, this book is for you.

Also, just to say it, I have not encountered a problem that could not be solved with high school mathematics. So, you don't have to be a college math major or a math genius to enjoy this book. You just have to enjoy mathematics in general and working with numbers. I have a number of mathematical puzzle books, but I like this one the best. It seems to get right to the heart of problem solving in the most efficient manner.
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