math wizzes... help?

Question

1. In the game of tic-tac-toe, what is the greatest number of squares that may be left unmarked when a game is won?

2. The number of rings in the olympic flag is a prime number that is a factor of 105, 20, and 30. How many rings are there?

3. The span of the Golden Gate Bridge in San Francisco is 1080 feet less than a mile. How long is the bridge?

4. The number of days that Mercury takes to evolve around the sun is a palindromic number, each digit is a cube greater than 1, how many days is one revolution around the sun?

Answer 1

1) 4 if the first person that moves wins, it takes him 3 moves and the other guy 2.

2) 5... I know what the flag looks like ... and the only prime factors of 20 are 5 and 2... 105 is 5, 7, 3 and 30 is 2,3,5

3) 5280 - 1080 = 4200

4) 88 ... 2^3 is the only since digit cube greater than one... and to make it a palindromic number you need 2 8's

Answer 2

1. A game can be won in three full turns, XOXOX. So, 4 spaces can be left unmarked when a game is won.

2. 5 as it is the only prime number that can be divided into 105, 20, and 30. And check the flag by googling it.

3. a mile = 5280ft.
5280 - 1080 = 4200ft.

4. There are many combinations. The whole number cubes with one digit that I know are 1 and 8. I would say that the number of days it would take is 88. Palindrome, and made of cube'd digits greater than 1.

Answer 3

1. there are 9 squares, the winner occupies 3 and looser 2 and there are 4 squares left empty when the game is won.

2. there are 5 rings.

3. 5280-1080 = 4200 feet.

4. 87.97 = 88 earth days

Answer 4

1. 4
2. 5
3. 4200
4. 88