Monday, August 31, 2015

Brain-O Quiz Answers


Answers to Last Fridays Brain-O Quiz:
1.  You might fine “begins” or “chimps” fairly easily.  If you are really sharp you might find “aegilops” or even a longer word.
2.  529 = 23 x 23.  Since 23 is prime, it must be 23 classes of 23 students each.
3.  “A new use for a telephone”
4.  Same as today.
5.  LL: each term uses the number of straight lines in each letter. An L has two straight lines, therefore, two L's are shown.

Saturday, August 29, 2015

The Monk and the Bridges Problem


8,292,015 is a composite, deficient, odd, odious and wasteful number.  When written in base 36 it is 4XQ5R.  And, it can be expressed as the sum of all of the integers from 3741 to 5529.

Another puzzle from “Amusements in Mathematics” by Henry Dudeney.

“In this case I give a rough plan of a river with an island and five bridges.  On one side of the river is a monastery, and on the other side of the river is seen a monk in the foreground.  Now, the monk has decided that he will cross every bridge once, and only once on his return to the monastery.  This is, of course, quite easy to do, but on the way he thought to himself, “I wonder how many different routes there are fom which I might have selected.”  Could you have told him?  That is the puzzle.  Take your pencil and trace out a route that will take you once  over all five bridges.  Then trace out a second route, then a third, and see if you can count all of the variations.  You will find that the difficulty is two fold: you have to avoid dropping routes on the one hand and counting the same route more than once on the other.”


Friday, August 28, 2015

Mr. B's Brain-O Quiz # 22


Mr. B’s “BRAIN-O” Quiz
Guaranteed to unclog clogged up brains!
NAME:__________________ DATE:____________ PERIOD:_______
Directions: Carefully read and answer the following questions.  Print your answer clearly in the box next to each question.  Questions are worth one zillion nano bonus points each.  However, if you get all five correct, we will double the points for a total of ten zillion nano bonus points.


What is the longest word you can find in which the letters are arranged in alphabetical order?  (It doesn’t count if there are double letters or the letters are almost in alphabetical order.)


This year 529 students signed up to take Algebra I.  If all the classes have the same number of students in them, how many classes are there. (Hint: The answer is not 1 class with 529 students.)


When you decipher this message, you will have a new use for the telephone:
2   639   873   367   843   835374663
What does this secret message say?


On what day of the week will today’s date fall 400 years from now?


What comes next in this sequence:
AAA, B, D, EEEE, FFF, G, HHH, I, J, KKK, …

Our problems are man-made, therefore they may be solved by man.
 No problem of human destiny is beyond human beings.

- John F. Kennedy

WARNING: For Educational Purposes Only.
Please do not attempt to answer any of these questions
unless you are willing to learn something.
Answers will be posted on Monday.