1. Using only four numerals and any mathematical symbols you choose, can you produce an equation that will yield
the number 300? (1 bonus point if you use the same numeral four times)
44 + 44
[Heian-794]


2. Determine the relationships and find the missing number:

          89  53  17  45  98
           \  /\  /\  /\  /
            \/  \/  \/  \/  
            25  16  17  26
             \  /\  /\  /
              \/  \/  \/
              14  15  16
[Grey]


3. What number should go in the box with the question mark and why?

      ___________________
     | 6 | 5 | 9 | 2 | 7 |
     | 1 | 4 | 3 | 5 | 4 |
     | 8 | 0 | 2 | 8 | 1 |
[Heian-794]


4. Change one letter each time to form a new word:

     MOVE
     MORE
     MARE
     BARE
     BARK
[LizardKing]


5. What is the missing number in the following series?

     13  7  18  10  5  ?  9  1  12  6


6. Each of the following three words can have another three-letter word added to its beginning to form new words.
Find this three-letter word.


     Endear
     Endless
     Endanger
[LizardKing]


7. Find the missing number.

     589 -->  521
     724 -->  386
    1346 --> 9764
     625 -->  485
[Heian-794]


8. Algebra time! Evaluate the following:

     x+y   *   x   /  (x+y)2  -  x
     x2+y2     x-y     x4-y4
0
[Jagori]


9. There is a teeter-totter with a 5-pound weight placed 10 feet from the fulcrum on the left side,
and a 6-pound weight placed 5 feet from the fulcrum on the left side. On the right side of the fulcrum,
there is a 16-pound weight that needs to be placed in order to balance the teeter-totter.
How many feet from the fulcrum should it be placed?
      _       _                      __
     |5|     |6|                    |16|
                         /\
5 feet.
[Heian-794]


10. The probability of drawing the Ace of Spades from a normal 52 card deck is 1 in 52. What is the probability
of drawing the Ace, King, and Queen of Spades on three consecutive draws?
1 in 132,600
[Heian-794]

3. What number should go in the box with the question mark and why?

      ___________________
     | 6 | 5 | 9 | 2 | 7 |
     | 1 | 4 | 3 | 5 | 4 |
     | 8 | 0 | 2 | 8 | 1 |
[Heian-794]


5. What is the missing number in the following series?

     13  7  18  10  5  ?  9  1  12  6


8. Algebra time! Evaluate the following:

     x+y   *   x   /  (x+y)2  -  x
     x2+y2     x-y     x4-y4
0
[Jagori]



11. A microscopic slide has 7,500 bacteria dying at a rate of 150 per hour. Another slide has 4,500 bacteria
increasing at a rate of 50 per hour. In how many hours will the bacterial count on both slides be the same?
15 hours.
[LizardKing]


12. If three pears and four oranges cost $.39 and four pears and three oranges cost $.38, how much does one pear cost?
$.05
[Heian-794]


13. If I quadrupled one-fifth of a fraction and multiplied it by that fraction, I would get one-fifth.
What is the original fraction? (There is more than one answer, you need all answers to get the point.)
1/2 and -1/2
[Heian-794]


14. With five flips of a quarter, what is the probability of its landing on heads five times in a row?
1 in 32
[Heian-794]


15. What characteristic do the following capital letters share?

     A H I M O T U V W X Y
Vertical symmetry.
[Heian-794]


16. A triangle has sides of X, Y, and Z. Which of the following statements is true?

     1. X-Y is always equal to 2.
     2. Y-X is always less than Z.
     3. Z-X is always greater than Y.
     4. X+Y is always greater than Z+Y.
     5. No correct answer is given.
[LizardKing]


17. Find the hidden phrase or title.

     HABIRDND = BU2SH
A bird in the hand is worth two in the bush.
[Heian-794]


18. Given four points in space and connecting three points at a time to determine a plane (extending to infinity),
what is the maximum number of lines that will result from all intersections?
Six.
[Jagori]


19. A cube measuring four inches on each side is painted blue all over and is then sliced into one-inch cubes.
How many of the smaller cubes are blue on three sides?
Eight.
[LizardKing]


20. Given the inital letters of the missing words, complete this sentence:

     There are 9 Innings in a Baseball Game.
[Heian-794]