FINAL EXAM June 2010
ERLC Gr. 8 Math Final Exam June 2010 2
This examination has been prepared in a professional development activity organized by the Edmonton Regional Learning Consortium and facilitated by Enzo Timoteo. Prepared by: Enzo Timoteo Martin Mazurek Tyler Nyznyk Amy Bado Lynne Cholette Jo-Ann Beaudry Colin Schroeder Rob Volaril Michael Steele Patti Trovato Maris Huculak Laurier Plante Dan Briner ERLC ECSRD PHRD ECSRD ECSRD ECSRD ECSRD NGRD EPSB ECSRD ECSRD ECSRD ECSRD The facilitation and preparation of this examination has been subsidized by the Edmonton Regional Learning Consortium as the result of a grant from Alberta Education to support implementation. ERLC Gr. 8 Math Final Exam June 2010 3
Mathematics Grade 8 2010 Description Time allotted: 2 hours. However, you may take an additional 30 minutes to complete the examination. Instructions Fill in the information required on the answer sheet as directed by the teacher. Total possible marks: 65 This is a closed-book examination consisting of three parts. Part A has 45 multiple-choice questions each with a value of one mark. You are expected to provide your own calculator. Carefully read the instructions for each part before proceeding. Do not fold the answer sheet. Part B has 5 numerical-response questions each with a value of one mark. Part C has 3 written-response questions for a total value of 15 marks. All graphs on this examination are computer-generated and are not to scale. ERLC Gr. 8 Math Final Exam June 2010 4
Part A: Multiple Choice 45 questions Instructions Read each question carefully. Record your answer on the answer sheet provided by filling in the corresponding circles. Use HB pencils only. Example: If you wish to change an answer, erase ALL traces of your first answer. This examination is for the subject of A. biology B. physics C. chemistry D. mathematics Answer Sheet A B C DO NOT turn the page to start the examination until told to do so by the teacher. ERLC Gr. 8 Math Final Exam June 2010 5
1. The, rounded to the nearest tenth, is approximately equal to A. 3.8 B. 3.9 C. 7.4 D. 7.5 The area of the square is given. Use the following information to answer the next question. 20 cm 2 2. What is the approximate length of each side? A. 3.5 cm B. 4.0 cm C. 4.5 cm D. 5.0 cm Use the following information to answer the next question. Emma was arranging pebbles into the following pattern. 3. Which of the following numbers would fit Emma s pattern? A. 29 B. 39 C. 49 D. 59 ERLC Gr. 8 Math Final Exam June 2010 6
Angie builds a fence around Big Bear Park. The park is square and has an area of 289 m 2. Big Bear Park 4. What are the dimensions of the park? A. 16 m by 6 m B. 17 m by 17 m C. 18 m by 18 m D. 19 m by 19 m Use the following information to answer the next question. Jacob is building a dog house. The instructions are unclear. 3m = 12 m Area of rectangle = area of square 5. What is the side length of the square? A. 4 m B. 6 m C. 11 m D. 36 m ERLC Gr. 8 Math Final Exam June 2010 7
Leah colours pictures of squares. Use the following information to answer the next question. Black Striped White 6. What colours did Leah use with the ratio 5:7? A. Black to striped B. White to black C. Striped to white D. Striped to black Use the following information to answer the next question. Kyle is taking his new sports car out for a drive. He travels at a speed of 215 km/h for 1.75 hours. speed = distance time 7. What distance did Kyle drive in km? (Round to the nearest tenth.) A. 122.9 km B. 213.3 km C. 216.8 km D. 376.3 km 8. If Pat travels 275 km in 2.5 hours, what is her speed per hour? A. 100 km/h B. 110 km/h C. 120 km/h D. 130 km/h ERLC Gr. 8 Math Final Exam June 2010 8
9. Jodi is buying chocolate chips for baking cookies. The price is $1.99 for 125 g. How much does she pay for 500 g of chocolate chips? A. $10.96 B. $ 9.96 C. $ 8.96 D. $ 7.96 Use the following information to answer the next question. Kelsey has four bottles of milk to choose from. Each bottle is a different size and price. Bottle 1 Bottle 2 Bottle 3 Bottle 4 Cost Unit Price = Volume 1 L = 1000 ml 400 ml $1.85 750 ml $3.10 1.1 L $4.45 1.35 L $5.50 10. Which bottle of milk is the best buy? A. Bottle 1 B. Bottle 2 C. Bottle 3 D. Bottle 4 ERLC Gr. 8 Math Final Exam June 2010 9
Katie is at the grocery store to buy her favourite orange juice. The price for 350 ml is $1.35. She wants to buy 525 ml. 11. Which proportion should she use to determine the price of 525 ml? A. $1.35 = 525 ml 350 ml B. $1.35 = 350 ml 525 ml C. $1.35 = 350 ml 525 ml D. $1.35 = 525 ml 350 ml ERLC Gr. 8 Math Final Exam June 2010 10
Charlotte uses integer chips to solve the multiplication statement (+6) ( 2). +1 1 12. Which model displays the solution? A. B. C. D. Use the following information to answer the next question. 13. Insert brackets to make this statement TRUE. A. 12 (5 8 4) ( 2) B. 12 5 (8 4) ( 2) C. 12 (5 8) 4 ( 2) D. 12 5 8 (4 ( 2)) 12 5 8 4 ( 2) 4 ERLC Gr. 8 Math Final Exam June 2010 11
Number lines can be used to model the division of integers. -11-10 -9-8 -7-6 -5-4 -3-2 -1 0 +1 14. What is the quotient for ( 9 ) 3? A. (+3) B. ( 3) C. (+9) D. ( 9) Use the following information to answer the next question. Sarah is dividing the following fractions: 1 1 5 3 8 4 41 13 8 4 Step 1 8 13 = Step 2 41 4 104 164 Step 3 26 = Step 4 41 15. In which step did Sarah make a mistake? A. Step 1 B. Step 2 C. Step 3 D. Step 4 ERLC Gr. 8 Math Final Exam June 2010 12
Diagram 1 Diagram 2 16. Which of the following is a diagram of the product of diagram 1 and diagram 2? A. B. C. D. Use the following information to answer the next question. Rachel takes 3 4 hr to paint 3 of her room. 5 17. The amount of time it will take Rachel to paint her room is A. 27 min B. 48 min C. 1 hr 15 min D. 1 hr 28 min ERLC Gr. 8 Math Final Exam June 2010 13
18. Lisa and Joel are sharing a box of golf balls. Lisa gets 3 4 of the box. Joel gets 1 of the 6 box. Joel s golf balls represent what percentage of Lisa s golf balls? A. 0.13% B. 0.22% C. 13% D. 22% Use the following information to answer the next question. Daniel draws the following diagram using hundred grids. 19. What percent does the diagram represent? A. B. C. D. ERLC Gr. 8 Math Final Exam June 2010 14
20. The missing y values are A. 1, 0, 1 B. 1, 3, 5 C. 2, 4, 7 D. 2, 0, 3 Use the following information to answer the next 2 questions. Darby and Luke were playing a game. One of them would create a partial table of values and the other would have to complete the table and graph the result. Darby gave Luke the following table. x 8 7 6 2 0 3 y 4 3 2 21. The graph of this table of values is A. y B. y 8 8 6 6 4 4 2-8 -6-4 -2 2 4 6 8-2 x 2-8 -6-4 -2 2 4 6 8-2 x -4-4 -6-6 -8-8 C. y D. y 8 8 6 6 4 4 2-8 -6-4 -2 2 4 6 8-2 x 2-8 -6-4 -2 2 4 6 8-2 x -4-4 -6-6 -8-8 ERLC Gr. 8 Math Final Exam June 2010 15
Amount Earned ($) Owen's Rate of Pay 90 80 70 60 50 40 30 20 10 0 0 1 2 3 4 5 Hours Worked 22. Owen s rate of pay, in dollars per hour, is A. $60.00 B. $45.00 C. $30.00 D. $15.00 Use the following information to answer the next question. Jared was solving equations. 2x + 4 = 2 = Legend = x = x = 1 = 1 23. The first step in solving this equation would be to add to both sides. A. 2, B. 2, C. 4, D. 4, ERLC Gr. 8 Math Final Exam June 2010 16
24. The correct solution is A. 6 B. 7 C. 10 D. 13 Use the following information to answer the next question. Gage is the special teams manager for the school team. He needs to solve the following equation to make sure he has the correct number of players. 2x 7 = 19 Use the following information to answer the next question. Sydney showed her work when solving an equation. 4( x 3) 8 4 x 3 8 I 4 x 3 3 8 3 II 4x 11 4 4 III x 3.75 IV 25. Sydney made a mistake on step A. I B. II C. III D. IV ERLC Gr. 8 Math Final Exam June 2010 17
Legend = = x = x = x = 1 26. The solution to the equation is A. 24 B. 6 C. 6 D. 24 ERLC Gr. 8 Math Final Exam June 2010 18
27. The top view of the above 3-D object is A. B. C. D. ERLC Gr. 8 Math Final Exam June 2010 19
Top Front Right Side 28. Using linking cubes, rotate the following object 270 counterclockwise about a vertical axis. A. Top B. Top Front Right Side Front Right Side C. D. Top Top Front Right Side Front Right Side ERLC Gr. 8 Math Final Exam June 2010 20
5 Net 1 Net 2 7 5 5 cm 7 cm Net 3 Net 4 7 5 cm 7 5 5 29. The net for the right rectangular prism is A. net 1 B. net 2 C. net 3 D. net 4 ERLC Gr. 8 Math Final Exam June 2010 21
Side View 30. The 3-D object with the above side view is A. B. C. D. ERLC Gr. 8 Math Final Exam June 2010 22
12.3 m 13.4 m b h A = 2 31. The area of the triangle to the nearest tenth is A. 94.7 m 2 B. 103.2 m 2 C. 189.4 m 2 D. 206.4 m 2 15.4 m Use the following information to answer the next question. 3 cm A l w 12 cm 5 cm 32. Joe flattened a cracker box. Find the surface area to determine the amount of cardboard needed to manufacture the box. A. 111 cm 2 B. 180 cm 2 C. 222 cm 2 D. 360 cm 2 ERLC Gr. 8 Math Final Exam June 2010 23
Jordan has a tent that he uses when he goes camping. 4 dm 20 dm 3 dm 33. The minimum amount of material required for Jordan s tent (not including overlap) is A. 266 dm 2 B. 272 dm 2 C. 306 dm 2 D. 312 dm 2 ERLC Gr. 8 Math Final Exam June 2010 24
Use the following information to answer the next 2 questions. David bought a new fish tank on the weekend. He wants to know how much water he needs to fill the tank. 30 cm 30 cm 120 cm 1 ml = 1 cm 3 34. The measurement he needs is A. volume B. surface area C. perimeter D. mass 35. How much water would be needed to fill the fish tank half full? A. 13 500 ml B. 27 000 ml C. 54 000 ml D. 108 000 ml Given a 2 + b 2 = c 2 Use the following information to answer the next question. 64 cm 2 c 36 cm 2 36. Determine the length of side c. A. 10 cm B. 14 cm C. 28 cm 2 D. 100 cm 2 ERLC Gr. 8 Math Final Exam June 2010 25
N W E S 37. A ship travels from port 30 km/h for 4 hours due East. It then travels due South at 20 km/h for 2 hours. How far is the ship from port? (Solve to the nearest tenth.) A. 36.1 km B. 72.1 km C. 126.5 km D. 160.0 km Use the following information to answer the next question. 8m 12 m? 38. A ladder is leaning against a building. The distance from the bottom of the ladder to the wall is A. 4.0 m B. 6.3 m C. 8.9 m D. 14.4 m ERLC Gr. 8 Math Final Exam June 2010 26
A A 39. The object above is transformed using a A. translation B. rotation C. reflection D. tessellation Use the following information to answer the next question. y-axis R R x-axis 40. In order to create image R, the object R is A. rotated B. translated C. reflected then rotated D. translated then rotated ERLC Gr. 8 Math Final Exam June 2010 27
y C A B 9 8 7 6 5 4 3 2 1-9 -8-7 -6-5 -4-3 -2-1 -1-2 -3-4 -5-6 -7-8 -9 A B C 1 2 3 4 5 6 7 8 9 x 41. In the above diagram where would the reflection line be? A. x = 0 B. x = 1 C. y = 0 D. y = 1 ERLC Gr. 8 Math Final Exam June 2010 28
ABC, where A(4,6), B(2,1) and C(6,2) is reflected about the x-axis and then translated 3 units to the left. y 9 8 7 6 5 4 3 2 1-9 -8-7 -6-5 -4-3 -2-1 -1-2 -3-4 -5-6 -7-8 -9 A C B 1 2 3 4 5 6 7 8 9 x 42. The new ordered pair for point B is A. ( 5, 1) B. ( 2, 1) C. ( 1, 1) D. ( 1, 1) ERLC Gr. 8 Math Final Exam June 2010 29
y 9 8 7 6 5 4 3 2 1-9 -8-7 -6-5 -4-3 -2-1 -1 A -2-3 -4-5 B C -6-7 -8-9 1 2 3 4 5 6 7 8 9 x 43. Given A B C, what is the coordinate of A using the translation [ 5, 3 ]? A. ( 9, 1) B. ( 1, 7) C. (1, 5) D. (1, 1) ERLC Gr. 8 Math Final Exam June 2010 30
Grayson was flipping a coin and spinning a spinner. He came up with a tree diagram. Coin Spinner Outcome 1 1 2 3 H 1 2 3 H, 1 H, 2 H, 3 T 1 2 3 T, 1 T, 2 T, 3 44. The probability of obtaining Heads and an odd number is A. B. C. D. 1 6 1 3 1 2 2 3 ERLC Gr. 8 Math Final Exam June 2010 31
Corbin has some cards and a die. He draws one card at random and rolls the die. Sample Space 1 2 3 4 5 6 2 3, 2 Cards 3 2, 3 4 4, 4 5 6, 5 6 1, 6 Die 45. The probability of the same number appearing on the card and the die is A. 0.138 B. 0.16 C. 0.2 D. 0.4 ERLC Gr. 8 Math Final Exam June 2010 32
Part B: Numerical Response 5 questions Sample questions and solutions Instructions Sample 1: Evaluate 3 5 3 5 = 3 3 3 3 3 = 243 Consider all numbers used in the questions to be exact real numbers. Read each question carefully. Record your answer on the answer sheet provided by writing it in the boxes and filling in the corresponding circles. Use HB pencils only. Record 243 on the answer sheet. If you wish to change an answer, erase ALL traces of your first answer. Sample 2: 2 4 3 Correct to the nearest tenth, when 19 14 is expressed in decimal form, the result is 14 = 0.73684 19 = 0.7 Record 0.7 on the answer sheet 0 7 START PART B IMMEDIATELY. ERLC Gr. 8 Math Final Exam June 2010 33
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Jack solved the following question and put the answer in lowest terms. 1 3 7 2 3 4 1. What is the denominator? (Record your answer on the answer sheet.) Use the following information to answer the next question. Lindsay was solving a challenge question. 1 1 3 1 1 + 2 2 2 4 8 2. The correct solution to this challenge question, written as a decimal rounded to the nearest tenth is (Record your answer on the answer sheet.) ERLC Gr. 8 Math Final Exam June 2010 35
Morgan drew an octagon. Justin also drew an octagon but each side of his octagon was 3 cm less than the sides of Morgan s octagon. The perimeter of Justin s octagon is 48 cm. Morgan Justin P = 48 cm An equation that could be used to model the length of a side of Morgan s octagon is 8(x 3) = 48. 3. The length of each side of Morgan s octagon is cm. (Record your answer on the answer sheet.) Use the following information to answer the next question. Karli has 2 bags of marbles. She draws one marble from each bag. Bag 1 Bag 2 4. The probability of drawing a black marble from Bag 1 and a black marble from Bag 2, as a decimal rounded to the nearest tenth is. (Record your answer on the answer sheet.) ERLC Gr. 8 Math Final Exam June 2010 36
Sample Space 1 2 3 4 5 6 H H1 H2 H3 H4 H5 H6 T T1 T2 T3 T4 T5 T6 5. A die is rolled and a coin is tossed 100 times. Given the information above, how many times would the outcome be Heads on the coin and an odd number on the die? (Record your answer on the answer sheet.) ERLC Gr. 8 Math Final Exam June 2010 37
ERLC Gr. 8 Math Final Exam June 2010 38