Name: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN Math 9 Sample Final June 2014 Value: 50 Points Duration: 2 Hours General Instructions This examination consists of two parts. Both parts are contained in this booklet and further general instructions are provided on appropriate pages. Part I Selected Response (25 Points) Select the letter of the correct response from those provided. Place the CAPITAL LETTER in the blank provided on your Selected Response Answer Sheet. Do ALL questions in this section. Part II Constructed Response (25 Points) Answer ALL questions in this section. SHOW ALL WORKINGS to receive full credit for correct responses Student Checklist The items below are your responsibility. Please ensure that they are completed. Write your name and teacher s name on the top of this page. Write your name and teacher s name on the Part I answer sheet located at end of exam. Check the exam to see that there are no missing pages. There are 16 pages in total. ALL MATERIALS MUST BE PASSED IN WITH THIS EXAM. USE YOUR TIME WISELY. GOOD LUCK! 1 P a g e
Part I Selected Response [25 marks] Place the CAPITAL LETTER of the correct response on the answer sheet provided with your exam 1. Which is a perfect square? 0.049 2.5 2. What is? 3. Which has a square root of 1.6? 0.4 0.8 1.26 2.56 4. What is the value of ( ) 1 2 3 4 2 P a g e
5. Which statement is true? 6. What is ( )( ) written as a single power? 7. What set is ordered from least to greatest? 8. Which number is between and? 3 P a g e
9. Which statement is correct? ( ) ( ) ( ) ( ) 10. What is the correct equation for the line displayed? 11. Which table of values represents the equation? x -2-1 0 1 2 y -5-3 -1 1 3 x -2-1 0 1 2 y 3 1-1 -3-5 x -2-1 0 1 2 y -3-1 1 3 5 x -2-1 0 1 2 y -1 0 1 2 3 4 P a g e
12. Lisa is saving money for a trip to Mexico. The graph shows how much money she has in her bank account at the end of each week. If Lisa s parents contribute half of the money she saves. How many weeks will it take Lisa to contribute $200? 2 4 6 8 13. Which polynomial is represented by the model displayed? 14. Simplify: ( ) ( ) 5 P a g e
15. Which equation has as its solution? ( ) ( ) ( ) ( ) 16. Solve the inequality: 17. An object s image has a scale factor of 1.32 with respect to the original. What term best describes the image? Copy Enlargement Original Reduction 6 P a g e
18. Using the dotted line m as the line of symmetry, which figure represents the other half of the shape? 19. What is the order and angle of rotation symmetry of this starfish? Order Angle of Rotational Symmetry 5 60 o 5 72 o 6 60 o 6 72 o 20. A cube undergoes a reduction. The new surface area of the cube is 54 cm 2. If the scale factor for the reduction was 0.5, what was the side length, in cm, of the original cube? 3 6 Area of Cube 6s where "s" means side length 9 27 7 P a g e
21. In the circle with centre O shown, which is a tangent? 22. In the circle with center O shown, point D is the point of tangency. What is the length, in cm, of? 8 12 13 18 23. Given the circle, with centre O, below, what is the measure of angle x o, in degrees? 23.5 47 82 94 24. Sam flipped a coin 30 times and it landed on heads 20 times. What type of probability does this demonstrate? biased experimental subjective theoretical 8 P a g e
25. A company is planning to open a ski club in your community. To learn about the preferences of the local population, a questionnaire is mailed to the residents in July. What is the biggest potential problem with this method of data collection under these circumstances? cultural sensitivity privacy timing use of language 9 P a g e
Part II Constructed Response [25 marks] Complete ALL QUESTIONS in this sections. SHOW ALL WORKINGS to receive full credit for correct solutions. 2 26. Calculate the total surface of the composite figure shown. 2 27. Simplify using the laws of exponents then evaluate ( ) ( ) 10 P a g e
2 28. Simplify then Evaluate ( ) ( ) 2 Margaret evaluated the following question on an exam. Her solution was incorrect and she only received part marks for the solution. Provide Margaret with a correct solution to the problem and explain why she did not receive full marks. Margaret s Solution ( ) ( ) ( ) 11 P a g e
1 29. i) Graph the given table of values. Should the points be joined? Explain why or why not. # of Movie Tickets 2 4 6 8 10 Cost ($) 15 30 45 60 75 2 ii) Write an equation that can be used to determine the cost (C) in dollars for the number of movie tickets (t) and use it to find the cost of 15 tickets. 12 P a g e
3 30. Write a polynomial expression to represent the area of the rectangle shown then simplify the polynomial expression. 2 31. Solve for 6 6 13 P a g e
2 A rectangle s area can be modelled by the polynomial. If the width is and the length must be at least 8 what are the possible values of? 1 32. Mariah is flying a kite. She wants to figure out how high her kite is in the air. She knows she is standing 7 m away from a 10 m tall tree and that the kite is a horizontal distance of 21 m away from her. i) Are the two triangles in the diagram similar? Explain? 2 ii) If the tail of the kite is 2.5 m long, how far is it from the ground to the bottom of the tail of the kite? 14 P a g e
2 33. A water pipe has a diameter of 30 cm. There is water running through the pipe as shown in the diagram. How far from the center of the pipe is the surface of the water? 2 34. Isaac wants to know what brand name of tablet people prefer to own. He goes to the Apple Store and asks people who are buying ipads why they bought an ipad. Will the results of his data give him an accurate picture of the types of tablets people prefer to own? Is this a population or sample population? Explain. 15 P a g e
Name: Teacher: Sample Math 9 Final Examination Selected Response Answer Sheet 1. 14. 2. 15. 3. 16. 4. 17. 5. 18. 6. 19. 7. 8. 9. 10. 11. 20. 21. 23. 23. 24. 12. 25. 13. 16 P a g e