Directions: Answers must be left in one of the following forms:

Transcription

1 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

2 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 will be used as the tiebreaker. 1. In which quadrant is the point (-2,-3) located in the coordinate plane? a. I b. II c. III d. IV e. V 2. START? SUBTRACT 3 MULTIPLY BY 4 ADD 8 RESULT 40 What number in the start box will yield the result 40? a. 5 b. 18 c. 11 d. 13 e If two of the three angles in a triangle have measure 30 and 50, then the triangle is a. obtuse b. equilateral c. isosceles d. acute e. right 4. a. 8 b. 12 c. 14 d. 16 e If a penny, a nickel, a dime, a quarter, a half-dollar, and a silver dollar are all in a jar, and one of the coins is taken out at random, what is the probability that this coin is worth more than 35 cents? 8 th Grade Power Bowl Page 1

3 6. Which numbers have a sum of 123 and a difference of 45? a. 85, 38 b. 83, 40 c. 79, 44 d. 87, 36 e. 84, Solve for x:. a. x = -1 b. x = 7 c. x = 1 d. x = e. x = Identify the properties for #1, 2, and 3. 1) 2) 3) a. commutative, associative, distributive b. distributive, commutative, associative c. distributive, associative, commutative d. distributive, commutative, identity e. associative, commutative, identity 9. Simplify: 8 th Grade Power Bowl Page 2

4 10. A particular store sells shirts for $10, pants for $25, and shoes for $25. How many ways are there to sell exactly $50? a. 1 b. 2 c. 3 d. 4 e Solve for x:. a. -3 b. 1 c. 4 d. 22 e How many squares are needed to build the tenth shape in the pattern? a. 30 b. 45 c. 55 d. 66 e Evaluate when x = -8 and y = 7. a. b. 4 c. 6 d. e Marcia is three years older than Jan. Greg is four years older than Jan. Peter is two years younger than Greg. How many years older than Peter is Marcia? a. 0 b. 1 c. 2 d. 3 e. 4 8 th Grade Power Bowl Page 3

5 15. In a Fibonacci sequence, each number after the second number is the sum of the previous two numbers. For example, the sequence 1, 1, 2, 3, 5 is a Fibonacci sequence. Carlos makes a Fibonacci sequence starting with two numbers A and B. The sequence starts A, B, 11, 20, 31. What is the value of A? a. 9 b. 2 c. 1 d. 3 e What is the equation of the line shown in the graph? 17. You pay $20 for a pair of pants. The pants were marked down 30% from its original price. Tax is assessed at 9.5%. Which of the following equations when solved for x will find the original cost? a. b. c. d. e. 18. Find the number to replace the letter n and make the statement true. a. n = 5.6 b. n = 5 c. n = 7 d. n = 9 e. n = 8 8 th Grade Power Bowl Page 4

6 19. Find the equation of the line passing through the points (3,6) and (-2,7). a. b. c. d. e. 20. What is the value of a in the following equation:? a. 4 b. 8 c. 16 d. 32 e If the square root of the square root of the square root of a number is 2, what is the number? a. 16 b. 32 c. 64 d. 256 e How many integers satisfy both inequalities? and. a. 1 b. 3 c. 5 d. 7 e At the beginning of an experiment there are 100 bacteria in a colony. If the experiment begins at 1:00 a.m. and the number of bacteria doubles every three hours, at what time will the colony number 3,200? a. 6:00 p.m. b. 9:00 a.m. c. 12:00 noon d. 4:00 p.m. e. 2:00 p.m. 8 th Grade Power Bowl Page 5

7 24. If x = -2, y = 3, and z = 5, what is the value of:? a. 7 b. 15 c. 23 d. 28 e Which of the following relations below is NOT a function: a. Input Output b. Input Output c. Input Output d. Input Output e. Input Output The sum of two numbers is 14. The product of those numbers is 45. Find the sum of their reciprocals. a. b. c. d. e. 27. Simplify and write in correct scientific notations: 28. Suppose that it takes Alice four hours to rake the leaves in a yard. It takes Bob five hours to rake the leaves in the same yard. Approximately how long will it take them to rake the leaves if they work together? a. 45 minutes b. 2 hours, 12 minutes c. 3 hours d. 4 hours, 20 minutes e. 9 hours 8 th Grade Power Bowl Page 6

8 29. The sum of the lengths of three sides of a rectangle is 55 cm. Each side is a whole number of cm in length. The length is 8 cm more than the width. Find the perimeter of the rectangle, in cm. a. 70 cm b. 90 cm c. 68 cm d. 80 cm e. 64 cm 30. Factor: 31. A flower arrangement contains 60 flowers; some of these flowers have 5 petals, and the rest have 8 petals. Altogether there are 420 petals in the arrangement. How many 5-petaled flowers are there? a. 40 b. 15 c. 35 d. 10 e Find the value of q: a. 0 b. 1 c. -1 d. e. 2 8 th Grade Power Bowl Page 7

9 33. Choose the equation whose graph is shown: a. b. c. d. e. Not Given 34. Assuming that, simplify. 35. Serena drives 18 miles due south, 8 miles due west, 6 miles due north, and 3 miles due east. How far is she from her starting point when she finishes? a. 35 miles b. 11 miles c. 13 miles d. 20 miles e. 16 miles 8 th Grade Power Bowl Page 8