APRIL COUGAR "ULTIMATE" MATH CHALLENGES

Good Luck Cougars!!  


1. List 10 possible combinations you could get with 4 darts. The numbers on 
the targets are 7-5-3-1. Try to establish some logical method of doing this. 

2. Three watermelons and two cantaloupes weigh 32 pounds. Four watermelons 
and three cantaloupes weigh 44 pounds. All watermelons weigh the same and all 
cantaloupes weigh the same. What is the weight of two watermelons and one 
cantaloupe? 

3. Compare different pay scales. Decide if it is better to receive $300 a 
week or to be paid hourly at a rate of $7.50 per hour. What factors could 
affect your decision? 

4. Caleb measured his pulse and found that his heart beat at a rate of 80 
beats a minute at rest. At this rate, how many days will it take his heart to 
beat 1,000,000 times? Show your work and be sure you explain each step. 

5. Kennedy's Taxi Service charges $1.50 for the first mile and $.90 for each 
additional mile. How far could Mr. Kulp go for $20 if he gives the driver a 
$2 tip? 

6.  Laura has received a pet rabbit from her neighbor Valerie 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 Laura to 
design it. 
Laura sits down to think about the possibilities. Her father says that the 
run must be rectangular with whole number dimensions. If they want to enclose 
48 square feet, how many options do they have? 

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? 
What is the perimeter of the original square? 
What is the area of the resulting rectangle? 
Make a ratio of areas and perimeters. What do you notice? 

8. Mr. and Mrs. Sims 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. 

9. Excellent Emiliano 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? 

10. Find 2 polygons other than a square and rectangle whose reflections are 
identical to the original. Draw them. 
Show how the reflection of a triangle can be the same as the original. 

11. What is the largest three digit number that has both vertical and 
horizontal symmetry? Think of a three letter word with horizontal symmetry. 

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? 

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. 

14. Jocelyn 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? 

15. At a baby shower, we started discussing baby statistics. One of the women 
told us she had heard a report that for every 100 babies born, there were 6 
more boys than girls. If we were to randomly pick a child from a 
representative group, what is the probability of picking a girl? 

16. A team of scientists found that there were 4 oak trees for every 10 pine 
trees. How many oak trees were there if they counted 36 more pine than oak? 
 
17. Four friends buy 36 cookies for $12. Each person contributes the 
following amount of money: 

Tom--$2 
Jake--$3 
Ted--$4 
Sam--$3 

Each person gets the number of cookies proportional to the money paid. Draw a 
circle graph to represent the amount of cookies each got.
Draw another circle graph to show how many each would have if Ted gives half 
of his cookies to Tom. 

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. 


ASK MS. KENNEDY FOR THE SOLUTONS ONCE YOU HAVE FINISHED!!