Directions: Answers must be left in one of the following forms: 1. Integer (example: 7) 2. Reduced fraction (example: 3/4) 3. Mixed number, fraction part simplified (example: 2 1/3) 4. Money: rounded to the nearest cent (example: $10.15) 5. As otherwise specified in the problem 6. NG means not given
Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the event of a tie, questions 31-35 will be used as the tiebreaker. 1. What is the exact value, expressed as a fraction in lowest terms, of? 2. Order the numbers from least to greatest: 3,, 2, 2.95 a., 3, 2.95, 2 b. 2, 2.95,, 3 c. 2.95, 2, 3, d. 2,, 2.95, 3 e. 2, 2.95, 3, 3. Find the product. Express your solution as a mixed number. 4 2 a. 8 b. 8 c. 13 d. 13 e. 6 4. Two of the angles of a certain triangle measure 48 degrees and 65 degrees, respectively. What is the degree measure of the third angle? a. 77 b. 67 c. 57 d. 90 e. 45 5. What is the exact value, expressed as a fraction in lowest terms of 2 5? a. b. 10 c. 7 d. 2 e. 2 7 th Grade Power Bowl Page 1
6. What is the area, to the nearest square inch, of a circle whose radius is 6 inches? a. 18 in 2 b. 452 in 2 c. 39 in 2 d. 113 in 2 e. 37 in 2 7. Which of the following ordered pairs (x,y) is a solution to the equation? a. (6,3) b. (3,0) c. (3,2) d. (2,3) e. (-2, -3) 8. What is the circumference, to the nearest inch, of a circle whose radius is 6 inches? a. 19 in. b. 113 in. c. 38 in. d. 9 in. e. 452 in. 9. How many pairs of distinct prime numbers have a sum of 22? a. 1 pair b. 2 pairs c. 3 pairs d. 4 pairs e. 0 pairs 10. What is the area, in square inches, of a triangle whose altitude measures 6 inches and whose base measures 8 inches? a. 48 in 2 b. 24 in 2 c. 14 in 2 d. 96 in 2 e. 16 in 2 11. According to the recipe, 2 cups of flour will make 9 biscuits. How many biscuits can I expect to make using 5 cups of flour? a. 45 b. 22 c. 20 d. 12 e. 14 12. At the Fourth of July parade, the local scout troop found that they could arrange themselves in rows of exactly 3, exactly 4, or exactly 5, with no one left over. What is the least number of scouts in the troop? a. 30 b. 20 c. 12 d. 15 e. 60 7 th Grade Power Bowl Page 2
13. If Chris drives at 45 miles per hour, how many minutes will it take him to travel 27 miles? a. 36 min. b. 0.6 min. c. 3.6 min. d. 6 min. e. 72 min. 14. Of the 280 students at my school, 35% ride the school bus. How many students do not ride the school bus? a. 98 b. 245 c. 8 d. 9.8 e. 182 15. What is the exact value of? a. 5 b. c. 4 d. e. 16. The squares on a quilt are arranged in the following order color pattern; blue, green, red, yellow, brown, purple. If the quilt has 64 squares, what is the greatest number of blue squares the quilt will have? a. 10 b. 11 c. 12 d. 13 e. 14 17. What is the least common multiple of the three numbers 144, 180, and 300? a. 1,800 b. 3,600 c. 7,200 d. 1,440 e. 624 7 th Grade Power Bowl Page 3
18. Find the number to replace the letter n and make the statements true. a. n = 3.5 b. n = 1 c. n = 7 d. n = 5 e. n = 3 19. I paid $286 for a new gaming system that I got at a 12% discount. What was the original price of this system before the discount? a. $298 b. $274 c. $320.32 d. $325 e. $251.68 20. Simplify. Express the answer as an improper fraction reduced to lowest terms. 21. What is the probability of getting a sum of sixteen in tossing three standard cubical dice? Give your answer as a common fraction. 7 th Grade Power Bowl Page 4
22. What is the equation of the line shown in the graph? 23. Simplify: a. 225 b. 99 c. 75 d. 126 e. 62 24. The measure of one angle of a parallelogram is 115. How many degrees are in the measure of an adjacent angle of the parallelogram? a. 65 b. 85 c. 115 d. 180 e. 55 25. If a = 3, b = -2, and c = 5, find the value of: a. -8 b. 8 c. 2 d. -2 e. 4 7 th Grade Power Bowl Page 5
26. The corresponding angles in these two triangles are equal. If the length of AB is 6 inches, the length of BC is 8 inches, and the length of DE is 9 inches, what is the length, in inches, of EF? a. 11 in. b. 12 in. c. 13 in. d. 15 in. e. 16 in. 27. What is the degree measure of each interior angle of a regular hexagon? a. 90 b. 100 c. 120 d. 150 e. 180 28. Shelly s times for running the mile, in minutes were 8.4, 7.6, 6.9, 7.3, 7.5. What was Shelly s average time in seconds? Express the answer in decimal form. a. 37.7 b. 452.4 c. 7.54 d. 6.283 e. 7.58 29. A rectangular box has dimensions 30 cm, 15 cm, and 40 cm. What is the number of square cm in its total surface area? a. 85 cm 2 b. 2,250 cm 2 c. 5,500 cm 2 d. 18,000 cm 2 e. 4,500 cm 2 7 th Grade Power Bowl Page 6
30. My e-book reader holds 200 average-sized books. If an average book is 240 pages long, and if I can read 60 pages per hour, how many days will it take me, reading 8 hours per day, to read the entire contents of my e-book reader? a. 80 days b. 200 days c. 100 days d. 60 days e. 40 days 31. If, 1= 40 and = 60, what is the measure, in degrees, of angle 10? a. 40 b. 60 c. 100 d. 140 e. 80 32. Find the absolute value of the difference between 28 and the sum of all positive divisors of 28. a. -56 b. 56 c. -28 d. 28 e. 0 33. This rhombus has diagonals equal to 6 inches and 8 inches. What is the perimeter, in inches? a. 40 in. b. 48 in. c. 14 in. d. 25 in. e. 20 in. 7 th Grade Power Bowl Page 7
34. What is the 30 th digit in the decimal representation of? a. 1 b. 5 c. 7 d. 8 e. 4 35. In the trapezoid ABDC, an altitude is drawn from A that intersects CD at F. If CF= 3, AC= 5, AB= 4, BD= 8, find the area of the trapezoid ABDC. 7 th Grade Power Bowl Page 8