Applied Math 40S Jun 2019.pdf

Grade 12 Applied Mathematics Achievement Test Student Booklet June 2019

Manitoba Education and Training Cataloguing in Publication Data Grade 12 applied mathematics achievement test. Student booklet. June 2019 This resource is available in print and electronic formats. ISBN: 978-0-7711-7842-9 (print) ISBN: 978-0-7711-7843-6 (pdf) 1. Educational tests and measurements—Manitoba. 2. Mathematical ability—Testing. 3. Mathematics—Examinations, questions, etc. 4. Mathematics—Study and teaching (Secondary)—Manitoba. I. Manitoba. Manitoba Education and Training. 510.76 Manitoba Education and Training Winnipeg, Manitoba, Canada All images found in this resource are copyright protected and should not be extracted, accessed, or reproduced for any purpose other than for their intended educational use in this resource. Permission is hereby given to reproduce this resource for non-profit educational purposes provided the source is cited. After the administration of this test, print copies of this resource will be available for purchase from the Manitoba Learning Resource Centre. Order online at www.manitobalrc.ca . This resource will also be available on the Manitoba Education and Training website at www.edu.gov.mb.ca/k12/assess/archives/index.html . Websites are subject to change without notice. Disponible en français. While the department is committed to making its publications as accessible as possible, some parts of this document are not fully accessible at this time. Available in alternate formats upon request.

i G RADE 12 A PPLIED M ATHEMATICS A CHIEVEMENT T EST D ESCRIPTION Time Required to Complete the Test: 3 hours Total Possible Marks: 70 Additional Time Allowed: 30 minutes Unit Marks Relations and Functions 16 Probability 18 Financial Mathematics 19 Design and Measurement 9 Logical Reasoning 8 D IRECTIONS Remember to  indicate your input values by writing them in your booklet or printing a copy if using a technology tool  state any assumptions you make  express your answers in decimal and percentage form to at least the nearest hundredth (two decimal places) when rounding, except for monetary values or when otherwise indicated Example: 15 0.52 or 51.72% 29  Note: Rounding too soon in your solution may result in an inaccurate final answer for which full marks will not be awarded. A “graphic organizer” is a visual representation of information. Examples include a tree diagram, a chart, a list, a Venn diagram, a truth table, Pascal’s triangle, etc. A clearly communicated answer — is easily identified in the response space — includes the parameters in the equation, and “ y =”, “sin”, “ln”, or “ x ”, as applicable — includes the units of measure, where applicable — includes labels, units, scales for the axes on graphs, and key characteristics of functions (e.g., maximum, minimum, intercepts, and appropriate shape) — is expressed as an exact value or is appropriately rounded Marks may be deducted for errors relating to any of the above. Electronic communication between students through phones, email, or file sharing during the test is strictly prohibited.

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Applied Mathematics: Student Booklet (June 2019) 1 R ELATIONS AND F UNCTIONS Question 1 Total: 1 mark Select the best answer. 101 A stadium field is shaped like a parabola so that rainwater runs off to the sides. The surface of the field can be modelled by the following function:   2 –0.000 234 – 80 1.5 y x   where x represents the distance from the left side of the field and y represents the height of the field. What is the width of the field? A) 0.75 ft. B) 1.5 ft. C) 80 ft. D) 160 ft. Width (ft.) Height (ft.) 2 x y

2 Applied Mathematics: Student Booklet (June 2019) Question 2 Total: 1 mark 102 In an experiment, a water balloon is dropped from the roof of a school. The height of the water balloon from the ground is a function of time. The height is expressed in metres and the time is expressed in seconds. The domain of this function is   0, 1.43 . Give one reason that explains why the domain is restricted.

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