Level 3 – Math

Mathematical Fun

Rated: Somewhat difficult! (You might need a pencil)

  1. Can you continue the following sequence of letters: OTTFFSSE……….?
  2. A bottle of wine costs $10. If the wine is worth $9 more than the bottle, what is the value of the bottle?
  3. Three men ate in a restaurant and the check came to $25. Each man gave the waiter $10 and told him to keep $2 out of the change as a tip. The waiter returned with $3 and each man took $1. Each man had paid $9 making a total of $27, and the waiter got $2, what happened to the other $1?
  4. You have two hourglasses, a 4-minute glass and a 7-minute glass. You want to measure 9 minutes. How?
  5. A boy selling fruit has only 3 weights, but with them he can weigh any whole number of pounds between 1 and 13. What weights does he have?
  6. A man bought a painting for $70, sold it for $80, bought it back again for $90, and sold it again for $100. How much profit did he make?
  7. A man wears a clean shirt every day. If he drops off his laundry and picks up the previous week’s load every Tuesday night, how many shirts must he own to keep him going?
  8. If a rubber ball is dropped from the Leaning Tower of Pisa at a height of 90 meters from the ground, and on each bounce the ball rises exactly one-tenth of its previous height, what distance will it travel before it comes to rest?
  9. In a rectangular room, how do you place 10 chairs along the walls so that there are an equal number of chaira along each wall?
  10. In the game of Monopoly, a pair of dice is thrown and the combined score determines haw far a player can go. A player is so placed that throwing a 5 will take him to Bond St., an 8 will take him to Park Lane, and a 10 will take him to Mayfair. I own all of these properties, but I can afford a hotel on just one of them. Where should I place the hotel to maximize the chances that my opponent will land on it with his next throw?
  11. A nonstop train leaves London for Manchester at 60 miles per hour. Another nonstop train leaves Manchester for London at 40 miles per hour. How far apart are the trains one hour before they pass each other?
  12. Assuming you have an unlimited supply of counters and a chess board, and you places one counter on the first square, two on the second, four on the third, and so on, how many counters would it take to cover every square on the board?