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September Problems Number Theory | Measurement | Geometry | Start out simple...
Now try to work this out...
This will really challenge you...
Start out simple... Rabbit's Run (taken from MATH FORUM)
6. Regina has received a pet rabbit from her neighbor Rodney
who is about to move to an apartment that does not allow
pets. Her father is going to help her build a run for the
rabbit in their back yard, but he wants Regina to design it.
Now try to work this out... Area And Perimeter
7. If you fold a square paper vertically, the new rectangle
has a perimeter of 39 inches. What is the area of the
original square?
This will really challenge you... Better Buy
8. Mr. and Mrs. Simpleton are shopping for carpet for their living room and dining room. Their living room is 21 feet by 15 feet and their dining room is 12 feet by 9 feet. They have looked at two different priced carpets. One for $14.95 a square yard installed and another for $19.99 a square yard installed. How much would they save by choosing the cheaper carpet? What are some other things besides money that they should consider before making their choice? After you find out how much carpet they need, figure out the savings in one calculation. Explain.
Start out simple... Where Am I?
9. Tom Terrific has a garden in the shape of a rectangle. He wanted to plant a tree in a specific spot. He wanted it to be in the exact center of the garden. What would be a way that he could find the center without using any measurement? Now try to work this out... Reflections
10. Find 2 polygons other than a square and rectangle whose
reflections are identical to the original. Draw them.
This will really challenge you... Symmetry
11. What is the largest three digit number that has both vertical and horizontal symmetry? Think of a three letter word with horizontal symmetry.
Patterns, Algebra, And Functions Start out simple... Going Camping
12. Groups of campers were going to an island. On the first day 10 went over and 2 came back. On the second day, 12 went over and 3 came back. If this pattern continues, how many would be on the island at the end of a week? How many would be left? Now try to work this out... A Batty Diet
13. A bat ate 1050 dragon flies on four consecutive nights. Each night she ate 25 more than on the night before. How many did she eat each night? Solve this algebraically. This will really challenge you... Windemere Castle (From The Problem Solver)
14. Evelyn is reading about Windemere Castle in Scotland. Many years ago, when prisoners were held in various cells in the dungeon area, they began to dig passages connecting each cell to each of the other cells in the dungeon. If there were 20 cells in all, what is the fewest number of passages that had to be tunneled out over the years?
Data, Statistics, And Probability Start out simple... Bouncing Babies (Taken from MATH FORUM)
Now try to work this out... Trees
This will really challenge you... Cookies!
17. Four friends buy 36 cookies for $12. Each person contributes the following amount of money:
Tom--$2
Each person gets the number of cookies proportional to the
money paid. Draw a circle graph to represent the amount of
cookies each got.
Up You Go!
18. In the old days there were elevator operators to transport passengers. Don Downs always started his day in the basement. He went up 20 floors to take his boss some coffee. Then he went down 8 floors to take a Danish to his friend. He went up 7 floors to check things out. This was the halfway point in the building. How many floors are in this building? Draw a diagram to show how you would figure this out.
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