Applied Math 40S Jan 2020.pdf

Grade 12 Applied Mathematics Achievement Test Student Booklet January 2020

Grade 12 applied mathematics achievement test. Student booklet. January 2020 This resource is available in print and electronic formats. ISBN: 978-0-7711-6340-1 (print) ISBN: 978-0-7711-6341-8 (pdf) Copyright © 2020, the Government of Manitoba, represented by the Minister of Education. Manitoba Education 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 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 17 Probability 18 Design and Measurement 7 Financial Mathematics 20 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 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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iii Terminology Sheet Some questions may include directing words such as calculate , determine , and show your work . These directing words are explained below. Directing words The question is asking for… Calculate/Determine a mathematical formula, an algebraic equation, or a numerical calculation to solve a problem Describe/Explain words or symbols, diagrams, charts or graphs, or other methods that clearly show what you are thinking Use a graphic organizer a visual representation of information such as a tree diagram, a chart, a list, a Venn diagram, a truth table, or Pascal’s triangle Identify/Indicate/Select a stated or circled answer Show your work/Justify reasons or facts that support a position by using mathematical computations, words, or diagrams State a word, sentence, or number, without an explanation

iv Formula Sheet: Applied Mathematics R ELATIONS AND F UNCTIONS F INANCIAL M ATHEMATICS y ax b   2 y ax bx c    3 2 y ax bx cx d     x y ab    ln y a b x     sin y a bx c d    72 t i  I Prt  1 nt r A P n         Net worth Total assets – Total liabilities  Debt-to-equity ratio (%)   Total liabilities – Mortgage 100 Net worth   Gross debt service ratio (%) Monthly Monthly Monthly mortgage property heating payment taxes costs 100 Gross monthly income             Rate of return (%) Current value Previous value – of portfolio of portfolio 100 Previous value of portfolio         P ROBABILITY         – P A B P A P B P A B           P A B P A P B          P A B P A P B A      ! – ! n r n P n r    ! ! – ! n r n C r n r  D ESIGN AND M EASUREMENT Prism: Surface area 2 Volume Ph B Bh    1 Pyramid: Surface area 2 1 Volume 3 B Ps Bh    2 3 Cube: Surface area 6 Volume l l   Rectangular prism: Surface area 2 2 2 Volume lw lh wh lwh       Triangular prism: Surface area 1 Volume 2 bh l a b c bhl      2 2 Square-based pyramid: Surface area 2 1 Volume 3 b bs b h    2 3 Sphere: Surface area 4 4 Volume 3 r r     2 2 Cylinder: Surface area 2 2 Volume r rh r h       2 2 Cone: Surface area 1 Volume 3 r rs r h      

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