Cat, Rat, Hat, and Mat

 

hamster

 

Mary has a cat, and a rat, and a hat, and a mat.

If the cat is on the mat, and rat is in the hat, but the hat is on the mat, where is the rat?

This is a simple puzzle asked by Leslie Green, who collects dozens challenging puzzles.  The collection of Leslie Logic and Math Puzzles is presented at the website Aplusclick. It’s worth to try the challenging questions.

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Everyday Geek Questions

What happens once in a minute, twice in a week and once in a year?

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I will be X years old in year X2. How old am I?

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How many planes of symmetry does a cube have?

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“1” costs $10. “20” costs $20. How much does “100” cost?

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Mathematically Correct Way to Cut a Cake

What is wrong with cutting a cake? We always do it in a wrong way. What is better way? Alex Bellos gives the answer.

Mathematical Problems of Love

Are there math problems of Love. Certainly, there are many of them. The theme is very important for teenagers.Professional dancers

  • What are chances of being chosen?
  • How long do gentlemen wait ladies?
  • How many roses are needed?
  • How much do I spend for a present?
  • How Gerry must to play so that Jane always wins?
  • How to share the family income?
  • How to manage family projects?

There are many examples of such simple questions and answers at the page www.aplusclick.com/love.htm

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Gerry Geek’s love story in for of math problems is passionately described in his book at Amazon.

Hannah Fry’s TED Talk on the subject:

Pancake Math

panecake2“Archaeological evidence suggests that pancakes are probably the earliest and most widespread cereal food eaten in prehistoric societies.” – Wikipedia

 

What is the maximum number of sections into which a pancake may be divided into by four straight cuts through it?

Here more difficult questions go:

1) Is it possible to divided it so that all sections have equal area?

2) How many pancakes are needed to reach your height if they are squeezed by the weight of the upper pancakes?

3) If I spent 30 grams of batter for a pancake (French-style crêpe) of 30 cm in diameter how much batter do I need for the square pancake of the same thickness and the side length of 30 cm?  

 

These and many other practical “pancake” questions are presented in the Applied Math section of A+Click series, which already includes more than 4500 questions.

 

Math, As It Is

Knights

Multiply the number of legs by the number of tails and subtract the number of heads.

Attention: Each knight still has a head and no tails.

Solution.

It is a joke, however there are so many meaningless tasks that math books and teachers give students.

19th Century Math Genius Taught Us the Best Way to Hold a Pizza Slice

(Re-blogged from http://www.wired.com/2014/09/curvature-and-strength-empzeal/ )1030

Just fold the pizza slice into a U shape that keeps the slice from flopping over.

Very complex math theory explains extremely simple thing that we get from our experience ourselves. Do we really need math theory for that? I think – YES.

Math genius Carl Friedrich Gauss did not mean pizza when he created the theory. Probably, the pizza did not exist in 1800 in the same way we eat it now.

The are many phenomena that we used to see and can be or cannot be explained later by the theorists.

Please hold your pizza as Mr. Gauss advised.