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Royal Melbourne Institute of Technology *

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MEM30012A

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May 17, 2024

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RMIT Classification: Trusted STUDENT STUDENT – KNOWLEDGE ASSESSMENT TASK Task Number 1A of 3 Task Name Assignment PART A National unit/s code MEM30012A National unit/s title Apply Mathematical Techniques in a Manufacturing Engineering or Related Environment National qualification code MEM60112 22479VIC National qualification title Advanced Diploma of Engineering (Mechanical / Aeronautical) Advanced Diploma of Engineering Technology (Civil Engineering Design) - RMIT Program code C6130 / C6131/ C6162 / RMIT Course code MATH5268C Section A – Assessment Information Assessment duration and/or due date Week 7-10, refer to CANVAS announcement Task instructions Summary and Purpose of Assessment This assignment in the unit of competency covers the application of the concepts of mathematics to appropriate and simple engineering situations within the individual's area of engineering expertise. You must demonstrate an understanding of:  Arithmetic  Algebraic expressions and correct mathematical operation in correct order  Units of physical quantities, rational and irrational numbers, scientific notation, calculations based on estimating and approximating techniques  Linear functions and linear graph, solving the linear functions simultaneously by using algebraically and geometrically and determining the length and mid-point of a line segment  Quadratic equations and solving simultaneous linear and quadratic equation What and where: This is an individual knowledge-based (problem solving) assessment on Apply Mathematical Techniques in a Manufacturing Engineering or Related Environment. You need to complete this assessment task before its due date. This assessment will take place outside your class time. How: You will be assessed according to the criteria outlined in the assessment below. Please see below “Additional Instructions to Students”. Conditions for assessment 1. Students must submit an electronic copy of this assignment via RMIT CANVAS before its due date. [C6130 MEM30012A (MATH5268C) Student Assessment 2 ] [ 2 of 3] [ 29/06/2022 ] Student knowledge assessment task © Content is subject to copyright, RMIT University FINAL APPROVED – STUDENT KNOWLEDGE ASSESSMENT TASK TEMPLATE – June 2019_Version 2.0 Page 1 of 24

RMIT Classification: Trusted STUDENT 2. Students found in breach of test conditions can be charged with academic misconduct, have their results cancelled, be excluded from the program and receive other penalties. Penalties can also apply if a student’s test material is copied by others. 3. Plagiarism is the presentation of the work, idea or creation of another person as though it is one’s own. It is a form of cheating and is a very serious academic offence that may lead to expulsion from the University. Plagiarised material can be drawn from, and presented in, written, graphic and visual form, including electronic data, and oral presentations. Plagiarism occurs when the origin of the material used is not appropriately cited. 4. RMIT special consideration is to enable you to maintain your academic progress despite adverse circumstances. The process for special consideration can be found at https://www.rmit.edu.au/students/student-essentials/assessment-and- exams/assessment/special-consideration 5. Students with a disability or long-term medical or mental health condition can apply for adjustments to their study and assessment conditions (Reasonable Adjustments and Equitable Assessment Arrangements) by registering with Equitable Learning Services (ELS) at https://www.rmit.edu.au/students/support-and-facilities/student-support/equitable-learning- services Additional Instructions to Students: 1. Performance requirement: a. Must attempt all the questions b. Satisfactory (S) performance – successfully complete at least 1 question correctly from each group. There are all together 9 groups in total (A to I). c. Not Yet Satisfactory (NYS) performance – unable to successfully complete at least 1 question correctly in each group. 2. You are eligible to resubmit the assessment one more time within the allowed time frame, if your first attempt result is NYS. 3. Result from this assessment will count towards the final result of competent only if the result is satisfactory (S). 4. Late submission approval will be in line with RMIT policy Application for extension of submittable work (7 calendar days or less) form. 5. Special consideration for assessment Application for special consideration form. 6. If a student’s result is NYS: feedback and agreed deadline date for the student to demonstrate competency will be advised. 7. The date(s) must be within enrolment dates for this competency otherwise the student will be given a final result of NYS and the student may need to re-enrol/ repeat this course. Instructions on submitting Knowledge Assessment You are required to submit this assessment task on the CANVAS assignment submission page before its due date. Please follow the CANVAS instruction for the submission detail. Equipment/resources students must supply (if applicable): Equipment/resources to be provided by RMIT or the workplace (if applicable):  Writing pens/pencil, ruler and the like  Scientific calculator or similar  Computer and RMIT Internet Access  RMIT classrooms  Microsoft Office Suite [C6130 MEM30012A (MATH5268C) Student Assessment 2 ] [ 2 of 3] [ 29/06/2022 ] Student knowledge assessment task © Content is subject to copyright, RMIT University FINAL APPROVED – STUDENT KNOWLEDGE ASSESSMENT TASK TEMPLATE – June 2019_Version 2.0 Page 2 of 24

RMIT Classification: Trusted STUDENT Section B – Marking Guide: Arithmetic Group A Q1: A screw has a mass of 15 grams. Calculate, in kilograms, the mass of 1200 such screws. (1 kilogram = 1000 grams) (PC 1.1, PC 1.2) S/NYS Satisfactory response Yes ☐ No ☐ Answer: Mass of 1 Screw = 15g Mass of 1200 Screws = ? 1200 x 15 = 18000g = 18kg. Q2 : Determine the amount of stock (total welded length), in feet and inches, required to make the welded angle bracket shown in Figure below. Hint: total welded length is a+b+c. (Unit conversion: 1’=12”) Satisfactory response Yes ☐ No ☐ [C6130 MEM30012A (MATH5268C) Student Assessment 2 ] [ 2 of 3] [ 29/06/2022 ] Student knowledge assessment task © Content is subject to copyright, RMIT University FINAL APPROVED – STUDENT KNOWLEDGE ASSESSMENT TASK TEMPLATE – June 2019_Version 2.0 Page 3 of 24

RMIT Classification: Trusted STUDENT (PC 1.1, PC 1.2) S/NYS Answer: Since 3’ + 2’ + 2’ = 7’ And = 9” + 8 3/4 ” + 10 1/2 ” = 9” + 8.75” + 10.5” = 28.25” Since 12” = 1’ = 2’ x 4.25” 2’ x 4 1/4 ” Therefore 7’ + 2’ x 4 1/4 ” Total welded length = 9’ x 4 1/4 ” Group B Q3 : The speed of light has a value of 299 792 458 m/s. Write down this into scientific notation. (PC 1.3) S/NYS Satisfactory response Yes ☐ No ☐ Answer: [C6130 MEM30012A (MATH5268C) Student Assessment 2 ] [ 2 of 3] [ 29/06/2022 ] Student knowledge assessment task © Content is subject to copyright, RMIT University FINAL APPROVED – STUDENT KNOWLEDGE ASSESSMENT TASK TEMPLATE – June 2019_Version 2.0 Page 4 of 24

RMIT Classification: Trusted STUDENT 299 792 458 m/s in Scientific notation is 2.99792458 x 10 8 m/s Q4 : A formula in electricity for determining power when current and resistance are known is P = I 2 × R where P = power in watts (W), I = current in amperes (A), R = resistance in ohms (Ω). Determine the power in watts (W) when I = 3.80× 10 -5 A and R = 2.90 × 10 5 Ω. Give the answer in scientific notation and round the answer to 2 significant digits. (PC 1.3) S/NYS Satisfactory response Yes ☐ No ☐ Answer: P = I 2 x R P = (3.80 x 10 -5 ) 2 x 2.90 x 10 5 P = (3.80) 2 x (10 -5 ) 2 x 2.90 x 10 5 P = 14.44 x 10 -10 x 2.90 x 10 5 P = (14.44 x 2.90) x 10 -10+5 P = 41.836 x 10 -5 P = 42 x 10 -5 2 significant digits P = 4.2 x 10 -4 Group C Q5: The area A of a rectangle is given by the formula A=lb . Evaluate the area when l Satisfactory response [C6130 MEM30012A (MATH5268C) Student Assessment 2 ] [ 2 of 3] [ 29/06/2022 ] Student knowledge assessment task © Content is subject to copyright, RMIT University FINAL APPROVED – STUDENT KNOWLEDGE ASSESSMENT TASK TEMPLATE – June 2019_Version 2.0 Page 5 of 24

RMIT Classification: Trusted STUDENT =12.4 cm and b =5.37 cm and round the answer to nearest 10 . (PC 1.4) S/NYS Yes ☐ No ☐ Answer: A = l x b A = 12.4cm x 5.37cm A = 66.588 cm 2 A = 70cm 2 answer to the nearest 10. Q6: The area A of a triangle is given by A = 1 2 bh . The base b when measured is found to be 3.26 cm, and the perpendicular height h is 7.5 cm. Without using a calculator, approximate the area of the given triangle. Compare the result with actual answer by using the calculator. (PC 1.4) S/NYS Satisfactory response Yes ☐ No ☐ Answer: A = ½ b x h A = ½ x 3.26 x 7.5 A = ½ x 24.45 A = 12.225cm 2 Algebraic Expressions Group D [C6130 MEM30012A (MATH5268C) Student Assessment 2 ] [ 2 of 3] [ 29/06/2022 ] Student knowledge assessment task © Content is subject to copyright, RMIT University FINAL APPROVED – STUDENT KNOWLEDGE ASSESSMENT TASK TEMPLATE – June 2019_Version 2.0 Page 6 of 24

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