5. The symmetry shown by the flag of the Bahamas is. Name: ID: A. b. 3 d. 9. a. 1 c. 6

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1 Name: Class: Date: ID: A Math 9 Practice Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the design below, the dashed line represents a. a horizontal line of symmetry c. an oblique line of symmetry b. a lack of symmetry d. a vertical line of symmetry 2. Determine the order of rotation of the figure. a. 1 c. 12 b. 4 d The image shown below is the flag of Canada. The flag shows a. a horizontal line of symmetry c. rotation symmetry b. lack of symmetry d. a vertical line of symmetry 1 4. In the figure shown, the order of rotation is a. 1 c. 6 b. 3 d The symmetry shown by the flag of the Bahamas is a. vertical line symmetry c. oblique line symmetry b. rotation symmetry d. horizontal line symmetry 6. In the figure shown, the order of rotation is a. 2 b. 6 c. 8 d. 10 2

2 7. Designers are planning a container for hot beverages that will keep the beverage warm as long as possible. The rate at which a beverage cools depends on the surface area of the container. The larger the surface area of the container, the more quickly the liquid inside it will cool. Both of the designs shown are made of the same material of the same thickness. If the thickness of the material from which the containers were made was doubled but the volume remained the same, the total exterior surface area of the containers would a. decrease slightly c. increase slightly b. double d. not be affected 8. This object is constructed from 12 identical 3-cm cubes. The surface area of the front of the object is a. 9 cm 2 c. 81 cm 2 b. 27 cm 2 d. 108 cm Compare the surface area of Block B to that of Block C. Which statement is correct? a. The surface area of Block B is equal to that of Block C b. The surface area of Block B is greater than that of Block C c. The surface area of Block C is greater than that of Block B d. The surface area of Blocks B and C cannot be determined 10. What is the rational number represented by point A on the number line? a. 4.5 c. 0.8 b. 0.8 d Stocks can gain or lose money over time. Changes in the price of stocks are shown using decimal numbers. The following stocks are listed along with the price changes over a one-week period. Stock A Stock B 5.18 Stock C Stock D 1.25 Stock E 0.48 Which choice lists the stocks in order, from the stock with the greatest gain to the stock with the greatest loss? a. A, B, C, D, E c. B, A, D, C, E b. A, C, E, D, B d. B, D, E, C, A 4

3 12. Stockbrokers can report money lost or gained in the price of stocks using decimal numbers. In one day, five stocks made the following losses or gains. Stock A Stock B 4.38 Stock C Stock D 1.21 Stock E 0.52 Determine which choice represents the stocks in order from the one which lost the most to the one which gained the most. a. A, B, C, D, E c. B, A, D, C, E b. A, C, E, D, B d. B, D, E, C, A 13. Evaluate a c. 8.5 b. 8.5 d When evaluating the expression ( 5.2) , what number operation should be completed second? a. addition c. multiplication b. division d. subtraction 15. One day, the temperature fell from 3.5 C to 5.2 C in 3 hours. What was the temperature change per hour? a. 5.2 C/h c C/h b. 2.9 C/h d. 3.5 C/h 16. Which of these numbers is a perfect square? a. 68 c. 186 b. 92 d Which of these numbers is not a perfect square? a. 121 c. 64 b. 99 d In professional baseball, the first base is a square with an area of 1444 cm 2. What is the length of one side of the base? a. 722 cm c. 38 cm b. 361 cm d. 12 cm 19. A checkerboard has an area of 576 cm 2. Each side of the board is made of 8 small squares. What is the side length of each small square on the board? a. 3 cm c. 9 cm b. 8 cm d. 24 cm 20. Determine the volume of a cube that has a side length of 13 cm. a. 39 cm 2 c. 169 cm 2 b. 78 cm 3 d cm Express as a single power. a. 7 2 c. 7 6 b. 7 4 d What is the value of (5) 6 (5)? 3 a. 5 c. 125 b. 25 d Evaluate ( 6) 4 ( 6) 2. a c b d What is 9 3 (9 6)? a. 27 c. 81 b. 75 d What is (8 + 4) 2 ( ) 4? a. 12 c. 72 b. 28 d When evaluating the expression 4 3 (8 9 2), what is the last operation to be completed? a. addition c. division b. brackets d. exponent 27. An L-shaped flower garden is shown below. Which of the following expressions represents the area of the garden? a c b d The population of marmots on Mount Washington is If the growth of the marmot population is 2% per year, what will be the population in 15 years? a c b d If a colony of 1000 bacteria doubles in size every 2 h, what is the size of the colony after 6 h? a c b d A colony of 500 bacteria triples in size every 1.5 h. Determine the size of the colony after 6 h. a c b d

4 31. An image with a scale of 8:1 means a. there are 8 units of the actual object for every unit of the image b. there is 1 unit of the actual object for 8 units of the image c. there are 8 units of the image for every unit of actual size d. there is 1 unit of the image for every 8 units of actual size 32. Determine the scale factor used to draw Figure A from Figure B. a c b d The letter on the right is drawn from the letter on the left using a scale factor. The scale factor is a c b d What scale factor is used to enlarge the letter on the left? a. 1.0 c. 3.0 b. 2.0 d A scale diagram of two flower pots is shown below. If the flower pot on the left has a base with a diameter of 9 cm, what is the approximate diameter of the base of the flower pot on the right? a. 3.0 cm c. 4.0 cm b. 3.6 cm d. 5.4 cm 36. The image of a cell phone on a poster is 46 cm long. The actual cell phone is 11.5 cm long. Determine the scale used to create the poster. a. b c. d

5 37. What scale is used to draw the image on the right from the image on the left? a. 0.2 c. 2 b. 0.5 d The two triangles shown are a. complimentary triangles c. equal triangles b. equilateral triangles d. similar triangles What scale must be applied to make JKL from RST? a. 1:5 c. 2:1 b. 1:4 d. 4:1 40. Kendra wants to draw a scale diagram of the field shown in the sketch. She plans to use a scale of 3 mm:1 m. How long should she draw line AB if she wants to represent a distance of 84 m? a. 3 mm c. 252 mm b. 28 mm d. 300 mm 10

6 41. A farmer sketched the following layout of a field. He wants to develop a scale drawing of the field in which 1 cm on the diagram represents 20 m of actual distance. The pipeline runs across the diagonal of the field. Approximately how long will the line that represents the pipeline be in the scale diagram? a. 4.5 cm c. 9.0 cm b. 6.4 cm d cm 42. How many similar triangles would be formed if you joined all the opposite vertices so the lines pass through the centre of the figure? a. 4 c. 12 b. 6 d Compare hexagon A to hexagon B. Hexagon A has a. angles that are smaller than the angles in hexagon B b. angles that are proportional to the angles in hexagon B c. angles that are larger than the angles in hexagon B d. angles that are equal to the angles in hexagon B A scale diagram of the polygon below was created using a scale factor of 4. The interior angles of the new polygon would be a. 1 4 times the size of the angles of the original polygon b. the same size as the angles of the original polygon c. 2 times the size of the original polygon d. 4 times the size of the original polygon 45. How many similar triangles could be formed if you joined all the opposite vertices so the lines pass through the centre of the figure? a. 4 c. 8 b. 6 d The degree of the term 3p 4 q 3 r 2 is a. 2 b. 3 c. 7 d In the expression 2y 3 4y 5, the 2 is a(n) a. coefficient c. term b. exponent d. variable 48. In the expression 3h 2 5h 7, the 2 is a(n) a. coefficient c. term b. exponent d. variable 12

7 49. When the following model is simplified, it produces the expression a. 3x 2 5x 2 c. x 2 3x 4 b. 2x 2 2x 2 d. 3x 2 5x Simplify the following expression by grouping like terms. 8q 2q 2 3q 6 5q 2 4q 4 3q 2 2 2q a. 10q 2 15q 8 c. 10q 2 17q 12 b. 3q 2 11q 8 d. 6q 2 5q 4 Answer the following question(s) using the information from the scenario below. Renting a mountain bike requires a monthly rental fee, m, and a security deposit of 4 months rent. Renting a street bike also requires a monthly rental fee, s, and a security deposit of 3 months rent. The monthly rental fees for the two types of bikes are not the same. 51. The expression that best represents the difference between the cost to rent a mountain bike for 6 months and the cost of renting a street bike for the same period would be a. 6m 6s c. 10m 9s b. 6ms 6 d. s m 52. What is the opposite expression for 3a 2 5a 6? a. 3a 2 5a 6 c. 3a 2 5a 6 b. 3a 2 5a 6 d. 3a 2 5a Add the following polynomials. (2c 2 d 2 4cd 4) (4c 2 d 2 2cd 6) a. 6c 2 d 2 2cd 2 c. 4c 2 d 2 4cd 6 b. 2c 2 d 2 2cd 10 d. 6c 2 d 2 2cd Subtract the following polynomials. (3s 2 2s 3 4s) (4s 2 5) (2s 2s 2 s 3 7) a. s 3 5s 2 6s 12 c. 3s 3 5s 2 2s 2 b. 3s 3 5s 2 2s 12 d. 3s 3 9s 2 2s Simplify (4z 2 2z 2) (3z 2z 2 3) (2 5z 3z 2 ). The answer is a. 3z 2 4z 1 c. 9z 2 6z 7 b. 6z 2 4z 5 d. 9z 2 4z 7 13 Use the figures to answer the following question(s). 56. Which statement describes the number of dots in each figure? a. The number of dots is five more than two times the figure number. b. The number of dots is four more than two times the figure number. c. The number of dots is six more than the figure number. d. The number of dots is two more than five times the figure number. 57. Which table of values represents the number of dots in the pattern? a. c. b. d. 14

8 Use the graphs to answer the following question(s). 58. Which linear relation represents John s graph? a. d 1.5t c. d 3t b. d 1.5t 1.5 d. d 3t 3 Use the figures to answer the following question(s). 59. Following the pattern above, how many dots will Figure 5 contain? a. 10 c. 12 b. 11 d Which figure number will have 42 dots? a. 28 c. 37 b. 35 d Which graph represents the linear relation y x 6? a. c. b. d. 16

9 62. Which linear equation is represented by the following graph? a. y 2x 7 c. y 7x 2 b. y 2x 3.5 d. y 2x What missing values should go in the shaded boxes in the Pascal s triangle shown below? a. 5, 15, 20, 15, 5 c. 7, 16, 25, 16, 7 b. 6, 15, 20, 15, 6 d. 9, 16, 26, 16, Determine the multiplication statement that is represented by the algebra tiles below. a. 2x 2x 4x 2 c. 2x 2x 4x 2 b. 2x 2x 4x 2 d. 2x 2x 4x Determine the product of 2x 3x. a. 6x c. 5x b. 5x 2 d. 6x Determine the simplified form of the expression (3xy)(2x). a. 6xy c. 6x 2 y b. 5x 2 y d. 1.5xy A rectangle has an area of 18x 2 m 2 and a length of 3x m. What is the width of the rectangle? a. 6 c. 54x b. 6x d. 6x Determine which statement is represented by the area model. a. 4x 6x x 3.1 c. 4x 6x x x b. 4x 6x 3.1 2x 3.1 d. 4x 6x x x 18

10 69. Which area model represents the multiplication statement 4x 6x x x? a. c. b. d. 70. Which set of algebra tiles represents the multiplication statement 2x 2x 1 4x 2 2x? a. c. b. d Determine the value of the expression a. b t 3t 4. 2 t 4 1 c t t 2 t 2 d. 3 2 t2 2t 72. An Internet service provider has projected the number of customers to be 5m 5m 30, where m is the number of months after the business begins. What is the expanded form of this expression? a. 10m 2 30 c. 10m 150 b. 25m 150 d. 25m 2 150m 73. Determine the unknown dimension of the rectangle shown below. a. 4 c. 4x 1 b. 4x d. 4x A rectangle has a width of r 3 cm and a length of 2r 9 cm. The perimeter of the rectangle is a. 6 cm c. r + 6 cm b. 12 cm d. 6(r + 4) cm 75. Solve 2.1 6k a. k = 4.3 b. k = 8.19 c. k = 9.87 d. k = Solve 4x 3 2x. a. x = 1.5 b. x = 2 c. x = 3 d. x = Solve 2.3t 5t a. t = 1.37 b. t = 1.37 c. t = 3.7 d. t = Solve 4.8s s a. s = 1.37 b. s = 2.28 c. s = 3.9 d. s = Solve 4(6x 2) 2( 3x 5). 4 a. x = 0.2 b. x = 0.8 c. x = 5 d. x = Solve 4.2(1.75a 3.2) 3.9(1.5a 4.6). a. a = 2.51 b. a = c. a = d. a =

11 81. Which equation is modelled by the diagram below? a. 3x 4 4 b. 3x 12 6 c. 3(x 4) 4 d. 3(x 4) Choose the best verbal representation of the number line below. a. A number is greater than 4. c. A number is less than 4. b. A number is greater than or equal to 4. d. A number is less than or equal to Determine a verbal representation of 3.4 r 8.2. a. All numbers greater than or equal to 3.4 but less than 8.2. b. All numbers greater than or equal to 8.2 but less than 3.4. c. All numbers less than or equal to 3.4 but greater than 8.2. d. All numbers less than or equal to 8.2 but greater than Solve x. a. x 3.5 c. x 14 b. x 14 d. x Which number line represents the solution to t 2 3? a. c. b. d. 86. Which number line represents the solution set for 6 x 2 0? a. c. b. d. 87. Solve 6 3c 2 c 2. a. c 4 c. c 2 b. c 4 d. c Mario earns $15 per h after taxes and other deductions. He spends a total of $75 per week on lunches and transportation. How many hours Mario must work to have at least $450 left at the end of the week? a. 5 c. 30 b. 25 d What is the solution to the following combination of inequalities: 3x 5 16 and x 5 14? a. 7 x 9 c. 7 x 9 b. 7 x 9 d. 7 x Determine the measure of BGD in the diagram below. a. 55 b. 70 c. 80 d In the diagram, XWY is a. equal to XZY c. equal to twice ZXW b. equal to half of XZY d. equal to twice ZYW 22

12 92. Determine the measure of BCD. a. 30 b. 60 c. 90 d What is the measure of AED? a. 30 b. 60 c. 90 d What is the measure of CAD? a. 30 b. 45 c. 60 d The measure of BCD is a. 30 b. 45 c. 60 d

13 96. The measure of MLO in the figure is a. 55 b. 60 c. 75 d The measure of LPO in the figure shown is a. 10 b c. 35 d The measure of NLP in the figure shown below is a b. 55 c d In the figure shown below the measure of TRS would be a b. 27 c. 36 d Determine the measure of BCD. a. 40 b. 45 c. 50 d

14 Math 9 Practice Final Exam Answer Section MULTIPLE CHOICE 1. ANS: A OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: A OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section ANS: C OBJ: Section ANS: A OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ID: A 41. ANS: B OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: A OBJ: Section ANS: A OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: A OBJ: Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: D OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: A OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section ANS: C OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: A OBJ: Section ANS: B OBJ: Section ANS: A OBJ: Section ANS: C OBJ: Section ID: A 87. ANS: C OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: D OBJ: Section ANS: A OBJ: Section ANS: B OBJ: Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: B OBJ: Section ANS: D OBJ: Section ANS: B OBJ: Section 10.1 Section ANS: C OBJ: Section ANS: B OBJ: Section ANS: A OBJ: Section 10.3