MEM30012A – Apply mathematical techniques in a manufacturing engineering or related environment
Instructions to Learner
Assessment instructions
Overview
Prior to commencing the assessments, your trainer/assessor will explain each assessment task and the terms and conditions relating to the submission of your assessment task. Please consult with your trainer/assessor if you are unsure of any questions. It is important that you understand and adhere to the terms and conditions, and address fully each assessment task. If any assessment task is not fully addressed, then your assessment task will be returned to you for resubmission. Your trainer/assessor will remain available to support you throughout the assessment process.
Written work
Assessment tasks are used to measure your understanding and underpinning skills and knowledge of the overall unit of competency. When undertaking any written assessment tasks, please ensure that you address the following criteria:
 Address each question including any subpoints
 Demonstrate that you have researched the topic thoroughly
 Cover the topic in a logical, structured manner
 Your assessment tasks are well presented, well referenced and word processed
 Your assessment tasks include your full legal name on each and every page.
Active participation
It is a condition of enrolment that you actively participate in your studies. Active participation is completing all the assessment tasks on time.
Plagiarism
Plagiarism is taking and using someone else’s thoughts, writings or inventions and representing them as your own. Plagiarism is a serious act and may result in a learner’s exclusion from a course. When you have any doubts about including the work of other authors in your assessment, please consult your trainer/assessor. The following list outlines some of the activities for which a learner can be accused of plagiarism:
 Presenting any work by another individual as one’s own unintentionally
 Handing in assessments markedly similar to or copied from another learner
 Presenting the work of another individual or group as their own work
 Handing in assessments without the adequate acknowledgement of sources used, including assessments taken totally or in part from the internet.
If it is identified that you have plagiarised within your assessment, then a meeting will be organised to discuss this with you, and further action may be taken accordingly.
Collusion
Collusion is the presentation by a learner of an assignment as their own that is, in fact, the result in whole or in part of unauthorised collaboration with another person or persons. Collusion involves the cooperation of two or more learners in plagiarism or other forms of academic misconduct and, as such, both parties are subject to disciplinary action. Collusion or copying from other learners is not permitted and will result in a “0” grade and NYC.
Assessments must be typed using document software such as (or similar to) MS Office. Handwritten assessments will not be accepted (unless, prior written confirmation is provided by the trainer/assessor to confirm).
Competency outcome
There are two outcomes of assessments: S = Satisfactory and NS = Not Satisfactory (requires more training and experience).
Once the learner has satisfactorily completed all the tasks for this module the learner will be awarded “Competent” (C) or “Not yet Competent” (NYC) for the relevant unit of competency.
If you are deemed “Not Yet Competent” you will be provided with feedback from your assessor and will be given another chance to resubmit your assessment task(s). If you are still deemed as “Not Yet Competent” you will be required to reenrol in the unit of competency.
Additional evidence
If we, at our sole discretion, determine that we require additional or alternative information/evidence in order to determine competency, you must provide us with such information/evidence, subject to privacy and confidentiality issues. We retain this right at any time, including after submission of your assessments.
Confidentiality
We will treat anything, including information about your job, workplace, employer, with strict confidence, in accordance with the law. However, you are responsible for ensuring that you do not provide us with anything regarding any third party including your employer, colleagues and others, that they do not consent to the disclosure of. While we may ask you to provide information or details about aspects of your employer and workplace, you are responsible for obtaining necessary consents and ensuring that privacy rights and confidentiality obligations are not breached by you in supplying us with such information.
Assessment appeals process
If you feel that you have been unfairly treated during your assessment, and you are not happy with your assessment and/or the outcome as a result of that treatment, you have the right to lodge an appeal. You must first discuss the issue with your trainer/assessor. If you would like to proceed further with the request after discussions with your trainer/assessor, you need to lodge your appeal to the course coordinator, in writing, outlining the reason(s) for the appeal.
Recognised prior learning
Candidates will be able to have their previous experience or expertise recognised on request.
Special needs
Candidates with special needs should notify their trainer/assessor to request any required adjustments as soon as possible. This will enable the trainer/assessor to address the identified needs immediately.
Candidate Details
Assessment – MEM30032A – Produce basic engineering drawings
Please complete the following activities and hand in to your trainer/assessor for marking. This forms part of your assessment for MEM30012A – Apply mathematical techniques in a manufacturing engineering or related environment
Name: _____________________________________________________________
Email: _____________________________________________________________
Declaration
I declare that no part of this assessment has been copied from another person’s work with the exception of where I have listed or referenced documents or work and that no part of this assessment has been written for me by another person. I also understand the assessment instructions and requirements and consent to being assessed.
Signed: ____________________________________________________________
Date: ____________________________________________________________
If activities have been completed as part of a small group or in pairs, details of the learners involved should be provided below:
This activity workbook has been completed by the following persons and we acknowledge that it was a fair team effort where everyone contributed equally to the work completed. We declare that no part of this assessment has been copied from another person’s work with the exception of where we have listed or referenced documents or work and that no part of this assessment has been written for us by another person.
Learner 1: ____________________________________________________________
Signed: ____________________________________________________________
Learner 2: ____________________________________________________________
Signed: ____________________________________________________________
Learner 3: ____________________________________________________________
Signed: ____________________________________________________________
Question Assessment:
Q1  Fill the below mentioned table. Write units and M L T form of the given quantity.


A1  
Q2  A number that can be written in the form of p/q is called  
A2  This is known as the Rational Number  
Q3  The product of two rational numbers is  
A3  It always comes out to be a Rational Number  
Q4  Write 5630 in Scientific Notation.  
A4  The 5630 in scientific notation is written in the appropriate number as 5.63 × 10^{3}.  
Q5  Write 0.00725 in Scientific Notation.  
A5  This would be written in the appropriate like 7.25 × 103.  
Q6  Write 5.75 × 10^{4} in engineering notation.  
A6  This would be written in the appropriate manner of 57.5*10^{3}  
Q7  Use approximation and estimation methods to solve:


A7  7  
Q8  Use the correct order of the algebraic expression and calculate the value of x:
x = 1800 ÷ [10{(12−6) +(24−12)}] 

A8  _{1620 is the value of x }  
Q9  Convert angles from degree to radian and radian to degree.
a) 45 degrees b) 36 degrees c) 88 degrees d) 1.73 radians e) 2.33 radians 

A9  a) π/4 rad
b) π/5 rad c) 22π/45 rad d) 99.129 degrees e) 133.509 degrees 

Q10  A fence is built around the perimeter of a field. What is the total length of the fence and if Milan want to color the whole ground, how much area that he will need to paint?  
A10  Permitter of field = 2(l+b) =
2(5+10) = 30 m Area of field= l*b 5*10= 50 m 

Q11  What is the perimeter of this shape?  
A11  Perimeter of this shape is = 8+15+20+10+12+5= 70m  
Q12  Calculate the area of the trapezium:  
A12  _{The area of the Trapezium is 35 cm}  
Q13  Find the area and volume of this squarebased pyramid:  
A13  After applying the formula, we have to find out the height i.e., h = 5.45 cm
The volume comes out to be 45.41 Area = A≈84.96 

Q14  Calculate the volume and total surface area of the cone (to 1 decimal place).  
A14  Volume = (1/3) πr²h = 37.68 cm^{3}
Total Surface area = πr(r+l)= 66 cm^{2} 

Q15  Plot the point with cylindrical coordinates (4,,−2) and express its location in rectangular coordinates.  
A15 


Q16  Find the height of the glacier.  
A16  Height of Glacier is 14.14  
Q17  Find the slope of the line connecting two dots and angle with the horizontal axis.  
A17  m= (82)/(113)= 6/8= ¾= 0.75  
Q18  In triangle ABC, B = 21°, C = 46° and AB = 9cm. Solve this triangle using Sine Rule.  
A18  A= 11.517cm
B= 4.484cm. 

Q19  In triangle ABC, B = 60°, C = 60° and AB = 10 cm. Solve this triangle using sine rule.  
A19  So, AC = 20.78 and A= 74 degrees and BC= 20  
Q20  Solve the triangle ABC given C = 40°, b = 23cm and a = 19cm.  
A20  A≈140.45cm²  
Q21  
A21  X= √1418.143  
Q22  Draw a line passing through (3,3) and (6,12), Find the slope of the line.  
A22  The slope of the line is (m)= 3  
Q23  Find the solution of the equation x + 3y = 20, and 3x – 6y = 30 using graph.  
A23  X= 14 and y= 2
So, (14,2) 

Q24  Find the equation of the line whose slope is 3 and passing through (1,2).  
A24  C= 1 and whereas
Y= 3x+(1) Y3x+1= 0 

Q25  Solve the linear equation algebraically and graphically:
4x – 5y = 22, x + 2y = 12 Find the length and midpoint of these lines in the between [0,4] 

A25  X= 8 and y= 2
So (8,2) 

Q26  Solve the equation and get the intersection points of the given curves.
y = x + 1, y = x^{2} – 1. 

A26  The point of intersection is (2,3) and (1,2).  
Q27  y = x^{2} + 4 and y = c, If the system above has exactly one solution, what is the value of c?  
A27  C= x^{2}+4=
At x= 0 C= 4 At x= 1 C=3 At x=2 C= 4+4= 0 And so on. 

Q28  Solve the given equation simultaneously.
y = x + 3, y = x2 + 3x. 

A28  At x= ( 3 ) and also y = 0
At x= ( 1 ) and also y = 4 This would become (3,0) and (1,4). 

Q29  Football: Age of Professional Players How old are professional football players? The 11th Edition of The Pro Football Encyclopaedia gave the following
information. Random sample of pro football player ages in years: 24 23 25 23 30 29 28 26 33 29 24 37 25 23 22 27 28 25 31 29 25 22 31 29 22 28 27 26 23 21 25 21 25 24 22 26 25 32 26 29 Compute the mean, median, and mode of the ages. 

A29  The mean is 26.25, the Median is 25.5 and also Mode is 25.  
Q30  Big Blossom Greenhouse was commissioned to develop an extra large rose for the
Rose Bowl Parade. A random sample of blossoms from Hybrid A bushes yielded the following diameters (in inches) for mature peak blooms. 2 3 3 8 10 10 Find the sample variance and standard deviation 

A30  The sample variance is 14.
The standard deviation is 3.74 

Q31  Suppose two pizza restaurants advertise a 20minute average delivery time. We’re starving and both look equally good! However, we know the mean does not tell the entire story!
Let’s assess their standard deviations to choose the restaurant. Imagine we obtain their delivery time data. One restaurant has a SD of 10 minutes while the other has a value of 5. How does this affect deliveries? We can wait upto 30 mins for the food then what will be the probability of getting food after 30 mins. 

A31  Variance is 201
The standard deviation is 14.177 
Question assessment checklist – for assessor
This should be used by the trainer/assessor to document the learner’s skills, knowledge and performance as relevant to the unit activity. Indicate in the table below if the learner is deemed satisfactory (S) or not satisfactory (NS) for the activity or if reassessment is required.
Marking checklist  Performance Criteria  
1.

Yes No
(Please circle) 

Comments  
Assessor’s comments here:  
The learner’s performance was:  Not yet satisfactory  Satisfactory  
Competency record to be completed by assessor
This should be used by the trainer/assessor to document the learner’s skills, knowledge and performance as relevant to the overall unit. Indicate in the table below if the learner is deemed competent or not yet competent for the unit or if reassessment is required.
Learner’s name  
Assessor’s name  
Unit of Competence
(Code and Title) 

Date  
Has the learner completed all required assessments to a satisfactory standard?  Yes No
(Please circle) 

Has sufficient evidence and information been provided by the learner to prove their competency across the entire unit?  Yes No
(Please circle) 

Learner is deemed:  Not yet competent  Competent  
If not yet competent, date for reassessment:  
Comments from trainer/assessor:  
Assessor Signature:  Date:  