Released Assessment Questions, 2015 ANSWERS

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Released Assessment Questions, 2015 ANSWERS Grade 9 Assessment of Mathematics Academic DIRECTIONS Answering Multiple-Choice Questions Answer all multiple-choice questions. If you fill in more than one answer to a question, or leave a question blank, the question will be scored zero. Incorrect answers will also be scored zero. Answering Open-Response Questions Do all of your work for each question in the space provided for the question only. Write your solutions, including all calculations, clearly and completely. ATTENTION: There are more open-response questions in this booklet than a regular booklet. Record ALL your answers to multiple-choice and open-response questions in this booklet. You are now ready to start. 2 Carlton Street, Suite 1200, Toronto ON M5B 2M9 Telephone: 1-888-327-7377 Web site: www.eqao.com 2015 Queen s Printer for Ontario

Multiple-Choice page 2 Please read the questions in the Question Booklet; then fill in your answers below. To indicate your answer, use a pencil to fill in the appropriate circle below completely. Like this: Not like this: Cleanly erase your answer if you wish to change it and fill in the circle for your new answer. Fill in only one circle for each question. 1 a b c d 2 a b c d 3 a b c d 4 a b c d 5 a b c d 6 a b c d 7 a b c d 8 a b c d 9 a b c d 10 a b c d 11 a b c d

Open-Response page 3 12 More Snacks, Please! Raisins and sunflower seeds are sold together in packages of 250 g. The ratio of the mass of raisins to the mass of sunflower seeds is 3 to 5. Determine the mass of raisins in a package. Show your work.

Open-Response page 4 13 Getting Fit Maddie enrols in a fitness program. Her total cost is made up of a sign-up fee and a cost per class. The table below shows information about her total cost, C, in dollars, when she attends n classes. Number of classes, n Total cost, C ($) 12 67 14 74 What is the sign-up fee? Sign-up fee: Show your work. Is the relationship between the number of classes Maddie attends and her total cost a partial variation or direct variation? Justify your answer. Circle one: Partial variation Direct variation

Open-Response page 5 14 Kenny s Big Adventure The following graph represents the relationship between Kenny s distance from home on a bike ride and time. D Distance from Home vs. Time 5 Distance from home (km) 4 3 2 1 a b c 0 10 20 30 40 50 Time (min) t Describe the 3 segments of Kenny s ride. Include information about distance travelled, time, direction and speed, in km/min, for each segment. Distance Segment Time Direction Speed (km/min) travelled a b c

Open-Response page 6 15 Comparing Relationships Information about three linear relationships is given below. Relationship 1 Relationship 2 Relationship 3 y 3x + 6y + 1 = 0 x y 5 2 0 2 4 3 2 1 0 10 x Circle the relationships that have the same rate of change. Justify your answer. Include information about all three relationships.

Open-Response page 7 16 Making Equations! Determine the equation of the line that has the same y-intercept as 2x + y + 6 = 0 and is perpendicular to the line shown on the grid. 10 y 8 6 4 2 10 8 6 4 2 0 2 4 6 8 10 2 x 4 6 8 10 Show your work.

Open-Response page 8 17 Skate On! A diagram of a community ice rink is shown below. 61 m 26 m The rink is being enclosed with fencing that costs $6.20/m. Determine the total cost of fencing for the rink. Show your work.

Open-Response page 9 18 A Schoolyard A schoolyard is in the shape of a regular decagon, as pictured below. y x Wall Complete the chart below with the values of x and y. Justify your answers using geometric properties. Value Justification using geometric properties x = y =

Multiple-Choice page 10 Please read the questions in the Question Booklet; then fill in your answers below. To indicate your answer, use a pencil to fill in the appropriate circle below completely. Like this: Not like this: Cleanly erase your answer if you wish to change it and fill in the circle for your new answer. Fill in only one circle for each question. 19 a b c d 20 a b c d 21 a b c d 22 a b c d 23 a b c d 24 a b c d 25 a b c d 26 a b c d 27 a b c d 28 a b c d 29 a b c d 30 a b c d 31 a b c d