Unit Test 1_MEM30012A_Task2_Student_220630-1

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Royal Melbourne Institute of Technology *

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MEM30012A

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Mathematics

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May 17, 2024

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RMIT Classification: Trusted STUDENT STUDENT – KNOWLEDGE ASSESSMENT TASK Task Number 2 of 3 Task Name Unit Test 1 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 120 minutes plus 15 min reading time Due weeks 9 and 10 Task instructions Summary and Purpose of Assessment: This assessment 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 Assessment Instructions . What: This is an individual CLOSED BOOK test. Where: Classroom based written test How: You will be assessed according to the criteria outlined in the Criteria for Assessment below. All criteria identified must be addressed to satisfactorily complete this Assessment Task. Please see additional” Instructions to Students” below Conditions for assessment [ C6130 MEM30012A Assess 2 Final Test (Student) ] [2 of 3] [30/06/2022 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 12

RMIT Classification: Trusted STUDENT Instructions to Students: 1. All answers are to be written in blue or black pen only , excluding diagrams, or the answers will not be marked (Written tests only). 2. The ONLY materials, equipment or personal items which may be brought into the test room are Scientific Calculators, blue or black pens, pencil, eraser and correction fluid (unless otherwise permitted by invigilator) 3. There is to be NO communication of any kind with any other person either inside or outside the test’s venue, except with the test supervisor/invigilator or course teachers. 4. Test papers and other material provided by the University are NOT to be removed from the test room. 5. You are not permitted to return to the test room, if you leave without permission from the invigilator. 6. 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. 7. 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. 8. RMIT special consideration is to enable you to maintain your academic progress despite adverse circumstances. The process for special consideration can be found at http://www1.rmit.edu.au/students/specialconsideration 9. 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 the Equitable Learning Services (ELS) at https://www.rmit.edu.au/students/support-and-facilities/student-support/equitable-learning-services If you already registered with ELS and your study plan is approved, please inform your teacher if this assessment task is not adjusted in line with approved study plan. Additional Instructions to Students: 1. Performance requirement: (a) Must attempt all the questions (b) Satisfactory (S) performance – successfully complete all questions . Each question has a specific performance criterion. There are 10 questions in total. (c) Not Yet Satisfactory (NYS) performance – unable to successfully complete all questions . 2. You are eligible to reattempt the assessment one more time within allowed time frame, if your first attempt result is NYS. 3. Outcome of this assessment will count towards the final grade only if the result is satisfactory (S) Final grading criteria is made available to you in Course Guide Part B and in CANVAS. Equipment/resources students must supply (if applicable): Equipment/resources to be provided by RMIT or the workplace (if applicable):  Pens / Pencils  Scientific calculator [ C6130 MEM30012A Assess 2 Final Test (Student) ] [2 of 3] [30/06/2022 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 12

RMIT Classification: Trusted STUDENT Section B – Marking Guide: Arithmetic Q1: The density of copper is 8.9 g/cm 3 . Convert this into kg/m 3 . Conversion factors: 1000 g =1 kg and 100 cm= 1m. (PC 1.1) Satisfactory response Yes ☐ No ☐ Answer: = 8.9g / 1000 = 0.0089kg = 0.0089kg/cm 3 100cm 3 = 1m 3 = 0.0089/0.000001 = 8900kg/m 3 Q2: Solve √ 2 n × 3 √ 2 n ÷ n (PC1.2) Satisfactory response Yes ☐ No ☐ Answer: = 3( √2n x 2n ) n = 3 √4n 2 n = 3 √2 2 x √n 2 n = 3 x 2n / n = 6n / n =6 Q3: The distance from the earth to the sun is about 149,000,000,000 meters. Convert this distance into equivalent standard scientific notation to two significant figures. (PC 1.3) Satisfactory response Yes ☐ No ☐ [ C6130 MEM30012A Assess 2 Final Test (Student) ] [2 of 3] [30/06/2022 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 12

RMIT Classification: Trusted STUDENT Answer: 1.49 x 10 11 = 1.5 x 10 11 meters Q4: Estimate the approximate lateral area of the aircraft nose cone (into nearest ten place) shown in below diagram and find the difference between the estimated area and the actual area. Hint: Lateral area= 1 2 × perimeter of base × slant height . Satisfactory response Yes ☐ No ☐ Answer: = ½ x 150 x 122 = 1/2 x 18300 The actual area = 9150 in 2 Estimate the approximate lateral area of the aircraft nose cone (into nearest ten place) = 9000in 2 Difference between the estimated area and the actual area = 9150 – 9000 = 150in 2 [ C6130 MEM30012A Assess 2 Final Test (Student) ] [2 of 3] [30/06/2022 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 12

RMIT Classification: Trusted STUDENT Algebraic Expressions Q5: The final length L 2 of a piece of wire heated through θ ˚ Celsius is given by the formula L 2 = L 1 ( 1 + αθ ) . Make the coefficient of expansion “α” the subject. (PC 2.1) Satisfactory response Yes ☐ No ☐ Answer: L 2 / L 1 = 1 + α θ L 2 / L 1 -1 = α θ (L 2 / L 1 -1) / θ = α [ C6130 MEM30012A Assess 2 Final Test (Student) ] [2 of 3] [30/06/2022 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 12

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