2012 AEA 267 6th Grade Math Bee Team Problem Solving

2012 AEA 2676 th Grade Math BeeTeam Problem SolvingSchool ________________________TeamNumbers______________________Score1. Todd is an insurance agent who receives a sales commission of 7.25% for eachpolicy he sells. His goal is to earn $45,000 this year. What is the total value ofthe insurance policies he needs to sell this year to make his goal? (Round youranswer to the nearest dollar.)1. $___________2. Maren bought a new HDTV for Christmas. The ratio of the length and width ofthe television is 16:9. If the total area of the screen is 576 in 2 , what is the lengthof the television?2. ____________inches3. In the last Presidential election, boys voted for Lincoln over Washington by a 5to 3 ratio. Girls voted for Washington over Lincoln by a 4:3 ratio. If there were320 boys and 420 girls, who won the election? How many votes did the winnerreceive?3. ____________4. Lizzie found a DVD that was marked 25% off the regular price of $40 and and abook that was marked 40% off the regular price of $15. She paid for the 2 itemswith a $50 bill. How much changed did she receive?4. ____________

5. What is the distance from the waterfall to the dock if you needed to stop at theisland to pick up a stranded tourist? Use 3.14 for π. (Round to the nearestyard.)5. ____________yards6. The length of a side of an equilateral triangle equals the length of a side of asquare. Find the ratio of the perimeters. (Write your answer in lowest termsusing the form provided in the answer space.)6. _____ : _____7. You can place a hexagonal ring of pennies around a center penny. Then you canplace a second hexagonal ring of pennies around the first. How many penniesaltogether will it take to make ten hexagonal rings of pennies?7. ____________pennies

8. A sixth grade teacher did a survey of how much his class spent on snack foodduring a one-day class trip. Find the mean amount of spending per student. Whichstudent spent an amount closest to that mean? Each student spent the followingamounts:8. $ ______________________Charlie $7.82 Robin $4.98 Cindy $8.31 Scott $11.01Marla $ 6.95 Sue $6.33 Tim $6.21 Jake $7.92Tammy $5.00 Larry $4.29 Tina $9.25 Mario $9.20Bob $ 9.20 Brad $5.44 Brenda $7.03 Rhonda $6.95Jane $8.35 Donita $4.92 Crystal $6.93 Windy $5.839. A bag contains eight red and eight blue marbles. What is the probability ofremoving a red marble from the bag, followed by removing a second red marblefrom the bag, without returning the first marble to the bag? (Write your answeras a percent rounded to the nearest whole percent.)9. __________%10. The first number in a sequence is 57. Square each of the digits and then add thesquares together (5 2 + 7 2 ) to find the second number (74) in the sequence.Continue this process to determine the fifth number in the sequence.10. ____________11. The solution to the equation, y = x – 2, has been graphed as a line on thecoordinate grid below. Which of the answer choices lists two (x, y) pairs thatcan both be found on the line? (Write the letter of the correct choice on theanswer space provided.)11. ____________A) (0,2) and (2, 4)B) (2, 0) and (4, 2)C) (0, 2) and (4, 2)D) (2, 0) and (2, 4)12. A pond’s bacteria doubles each day. On the 15 th day the entire pond wascovered. On what day was the pond 12.5% covered?12. Day ______