Puzzles from the Math Midway
Number Trivia

1.  How many different positions are there for a Rubik's cube?

2.
About how many different possible poker hands are there?
A.  About two and a half million
B.  About three and a third billion
C.  About four and a quarter trillion

3. What is 11,111,111 squared?
A.  1,111,111,111,111,111
B.  22,222,222
C.  123,456,787,654,321

4.  Which of the following unusual properties does the number 2520 have?
A.  It is both a perfect square and a perfect cube.
B.  Every counting number from 1 to 10 divides into it with no remainder.
C.  It is the number of sides of a four-dimensional hypercube.

5.  If you had \$10 billion in 1-dollar bills and you spent one every second, about how long would it take you to go broke?
A.  317 months
B.  317 years

6.  How many different ways can you assemble six standard 2x4 lego bricks?

7.  Which property is true of any prime number p bigger than 3?
A.  Either p+1 or p-1 is divisible by 6 with no remainder.
B.  If you divide p into 2 raised to the power p, the remainder is 2.
C.  It is one less than the sum of two primes.

8.  About how many ways are there to play the first four moves in a game of chess?
A.  64

9.  Manhattan Island from end to end is about how many inches long?
B.  Slightly less than a million
C.  Well more than a million

10.  How many nonnegative integers are there which are twice the sum of their digits?
A.  Zero - it can't happen!
B.  Two
C.  Infinitely many - it happens all the time.