K12 Math Puzzles
Rosebush Puzzle 1*
A gardener laying out a bed of roses finds that she can plant 7 rosebushes so
that they form 6 straight lines with 3 rosebushes in each line.
How is this possible?
6 sticks of uncooked spaghetti and 7 pennies
or 6 toothpicks and 7 Cheerios or other flat breakfast cereal or whatever other
manipulative is handy to simulate the lines and rosebushes
- Place 7 "rosebushes" on your desk or table.
- Using the 7 sticks experiment with arranging the "bushes" into 6 lines
of 3 each.
Questions to ask yourself as you work:
- Will there be 3 rose bushes in each row if you have only 7 bushes and you place
the six rows parallel to each other?
- If your rows are not parallel, how else could they be arranged?
- If your rows intersect, where should you place one of your rose bushes?
Check for understanding
- After placing the first rosebush, how many do you have left?
- How many more rosebushes need to be placed in order to have 3 in that row?
(Don't look 'til you're ready to give up!)
* Thanks to Christine Heffernan, who sent this question to Ask
Dr. Math at the Math Forum.
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