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You have a 4 gallon jug, a 9 gallon jug, and a faucet with unlimited water.  How do you measure exactly 6 gallons and in how many steps?

9galljug4jug

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Stumped?  Here’s a hint:

Start by filling the 9 gallon jug then fill the 4 gallon jug from the 9 gallon jug.

The solution:

untitled0011

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The object of the puzzle is to connect the different points on the grid with paths.

Rules:

  1. Each point contains a number - this is how many paths can connect to this point
  2. Every point should be able to be reached from any other point
  3. No more than 2 paths can connect any two points
  4. Paths may go horizontally or vertically, not diagonally
  5. Paths may not cross each other

path-puzzle001Click on the puzzle for printer-friendly version.

Click here for solution.

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Can you move 3 lines to make 6 squares?

toothpick1001

Stumped? Here’s a hint:

toothpick2001

Here’s the solution:

toothpick3001

5 small squares and 1 large square.