#### A Math Forum Project

 ESCOT Problem of the Week: Archive of Problems, Submissions, & Commentary

### October 1999 - December 1999

1. Pirates and Diamonds: Part I - posted October 1, 1999
The pirate ship has just landed, loaded with diamonds. You've been sent to buy some diamonds. How can you do it?

2. Pirates and Diamonds: Part II - posted October 8, 1999
How many different pounds of diamonds can you measure using only one 10-lb. and one 6-lb. measuring container?

3. Pirates and Diamonds: Part III - posted October 15, 1999
You now have a choice of five pairs of containers to use for measuring your diamonds.

4. Pirates and Diamonds: Part IV - posted October 22, 1999
This week you are to minimize the number of steps it takes you to measure your diamonds.

5. Scale n' Bowl I - posted November 1, 1999
Interactively scale a bowling ball to fit down the alley and hit the pins.

6. Scale n' Bowl II - posted November 8, 1999
Interactively scale a bowling ball to fit down the alley and hit the pins. This week: percentages.

7. Scale 'n Bowl III - posted November 15, 1999
Interactively scale a bowling ball to fit down the alley and hit the pins. This week it's using fractions.

8. Scale n' Bowl IV - posted November 22, 1999
Interactively scale a bowling ball to fit down the alley and hit the pins. This final week is about finding equivalence between decimals, percents, and fractions.

9. Llama I - posted December 1, 1999
Given a certain amount of fencing, interactively maximize the area of a rectangle.

10. Llama II - posted December 8, 1999
Interactively maximize the area of a rectangle given a certain amount of fencing. Plot width by area.

11. Llama III - posted December 15, 1999
Interactively maximize the area of a rectangle given different lengths of fencing. Find what ratio works for any length of fence.

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