unit information foundation...

Faculty of Law, Education, Business and Arts Version May 2015

Unit Information

Foundation Mathematics TEP023

School of Academic Language and Learning

Student Name: ____________________________________

Unit Foundation Mathematics

Unit code

TEP023

School School of Academic Language and Learning

Faculty

Law, Education, Business and Arts

Prerequisites None

Duration

One semester

Credit 10 credit points

Assessment tasks Three assignments

Final exam

The complete study package contains Unit Information

Study Guide

Prepared by Helena Trevena

Acknowledgements

Formatting and editing: Farha Sattar Proof reading: Muhammad Nawaz

Materials in this book are reproduced under section 40 (1A) of the Copyright Amendment Act 1980 (Cth) for the purposes of private study by external students enrolled in this unit. © Charles Darwin University

CRICOS provider 00300K

First published 2010 Updated January 2015 Printed by Uniprint NT, Charles Darwin University

Contents

Introduction 1

Welcome 1

About the Lecturers 1

Unit Organisation 2

Learning objectives 2

Private study commitments 2

Learning Approaches 2

Learnline 3

Study resources 4

Set text/s 4

Calculator 4

Support Services and Resources 4

The role of External Student Support 4

Academic Language and Learning Support Program (ALLSP) 4

Students with disabilities 4

Indigenous Tutorial Assistance Scheme (ITAS) 5

Student resources 5

Directory of Assistance 6

Study Plan 7

Assessment information 8

Delivery and submission 8

Helpful tips for submission of your assessments 10

Extensions and late submission 10

Professional assessment 11

University Plagiarism Policy 11

Exams 12

Assessment tasks 17

1

TEP023 Foundation Mathematics

Introduction

Welcome

Welcome to TEP023, Foundation Mathematics.

The aim of this unit is to help students develop the mathematical skills and knowledge to commence studies in areas that include Education and Health Sciences. In this unit you will:

• Carry out arithmetic calculations and solve mathematical problems with integers, decimals, fractions and percentages.

• Work with measurements in calculating areas, volumes and rates in practical situations.

• Solve algebraic equations, transpose and substitute using simple formula and applying algebraic skills to solve problems.

About the Lecturers

Unit co-ordinator: Dr Muhammad Nawaz

I have a Doctorate degree in Geoscience from Charles Darwin University Australia. I also have two other postgraduate research degrees; a Master Science in Geoinformatics and Master of Science in Geography, as well as Bachelor of Science and Education. I have been teaching GIS, Remote Sensing and Environment Science since 1990 and have been teaching with the Tertiary Enabling Program since 2012.

My contact details are listed below;

Phone: (08) 8946 6738

Email: [email protected]

Fax: (08) 8946 6799

Location: Casuarina Campus, Orange Building 4, Level 2, Room 6

Post: Dr Muhammad Nawaz School of Academic Language and Learning Orange 4, Level 2, Room 12 Charles Darwin University PO Box 41246 Casuarina, NT, 0909

You will need to check Learnline (under Contacts) at the beginning of

semester for your lecturer/tutor details.

2

Unit Information

Unit Organisation

The unit has 8 topics divided over a period of 12 teaching weeks.

Learning objectives

Successful completion of this unit should enable you to:

• Perform arithmetic operations without a calculator on integers, decimals, fractions and simple percentages.

• Use a calculator for mathematical calculations such as areas and volumes.

• Identify and use appropriate mathematical skills to solve application questions.

• Use logic to make appropriate estimations.

• Understand, write and solve problems given in mathematical language.

• Identify mathematical patterns and use mathematical shorthand notation.

• Apply mathematical formula to calculate areas and volumes of common shapes and apply these mathematical principles to solve application questions.

• Acquire mathematical skills and knowledge for further teaching, nursing and related fields of study.

Private study commitments

It is recommended that students undertake at least 8 hours per week of private study.

Learning Approaches

Learning and Understanding Read over the topic notes given in the Learning Materials.

Make your own summary of the topic. (Highlight/underline key ideas).

Reinforcing Attempt all exercises in the Study Guide, paying close attention to your working out.

Correct your work.

Lecture Contact Contact your lecturer via email with any questions before attempting the assessment tasks.

There are extra exercises available from your lecturer for any student wanting more practice on any topic.

Assignments Attempt the assignments when you have completed the necessary topics.

Remember, your working out is more important than the final answer.

You need to show the person correcting your work that you understand how to obtain the correct answer.

3


Learnline

Learnline is Charles Darwin University’s on-line learning system. In this unit, Learnline provides a copy of the materials you have received in hard copy. Learnline will be used to:

• provide important announcements regarding your unit

• distribute study materials and other resources

• provide a communication point where you contribute to discussions as part of your assessment, or just interact with fellow students.

You will need to connect to the Internet to access it, at https://online.cdu.edu.au

Access to Learnline may not be available until Day 1 of Semester.

CDU Graduate Attributes

The Charles Darwin University graduate attributes refer to those skills, qualities and understandings that should be acquired by students during their time at the University regardless of their discipline of study. The attributes accord with the University’s strategic directions and values, focusing on student-centred learning and supporting the effective construction and application of knowledge.

Refer to the CDU Graduate Attributes in detail at: http://www.cdu.edu.au/graduateattributes/

Teaching content Assessment

Acquisition Perform arithmetic calculations by hand and with a calculator.

Assignment 1 Final exam

Application Solve application questions and make logical estimations. Solve problems using algebra.

Assignment 1 Assignment 2 Final exam

Knowledge base Carry out arithmetic calculations using integers, decimals, fractions and percentage. Calculate basic perimeters, areas and volumes in practical situations. Apply algebraic techniques to problem solving.

Assignment 1 Assignment 2 Assignment 3 Final exam

Communication Use these math skills for further education.

Final exam

4

Unit Information

Study resources

Set text/s

There is no set text for this unit. A Study Guide is available on Learnline.

Calculator

You will need a calculator for this unit. It can be a basic calculator, a scientific or graphing calculator.

(Mobile phones cannot be used as a calculator in an exam).

Support Services and Resources

The role of External Student Support

External Student Support, part of the Office of Learning and Teaching, provides support to distance education/flexible learning students at CDU:

• assignment tracking (submission & return)

• management of external invigilated examinations

• management and support of OUA (Open Universities Australia) units

Visit http://learnline.cdu.edu.au/support/ess/about.html

Academic Language and Learning Support Program (ALLSP)

Academic Language and Learning provides study skills support for students.

Contact Linh Pallos (08) 8946 6557 or email [email protected] for further information.

Students with disabilities

The University is committed to providing an accessible, supportive, safe and inclusive learning environment for students with a disability; ensuring that prospective and current students with a disability are afforded appropriate opportunities to enter and participate fully in the life of the University.

If you have a disability that may impact on your ability to study please contact the Disability Liaison Officer on (08) 8946 6288 or email [email protected]

5


Indigenous Tutorial Assistance Scheme (ITAS)

If you are an Aboriginal or Torres Strait Islander student and you need extra help with your studies, the University can find you a tutor for any of the subjects you are studying as part of your formal education or training program, even if you are in a remote area.

View contact details for the Indigenous Academic Support Team. http://www.cdu.edu.au/study/indigacadsupport.html

Student resources

The Charles Darwin University website is where students have quick access to important dates, forms, student policies, support and services information and computer/email account details. Visit http://www.cdu.edu.au/current-students

Study Skills Online is designed to familiarise you with a range of study skills strategies appropriate for your needs, especially by providing general advice on the presentation of assessments.

Information literacy (the ability to locate and use information effectively) is an essential element of university life. It is recognised nationally by universities as being an essential graduate attribute. The Researching Skills interactive tutorial, which can be found at http://learnline.cdu.edu.au/researchingskills is designed to give you skills to find materials (books, journal articles, websites, etc) effectively and efficiently using the library’s information resources and the Internet. You will not only learn how to develop search strategies but also to evaluate the information you find.

More subject specific assistance can be provided by a Liaison Librarian through the “Ask Us” service. If you can’t find what you are looking for or don’t know where to look, fill out the “Ask Us” form and a Liaison Librarian will answer your query by email http://www.cdu.edu.au/library/askus.html.

Liaison Librarians can be contacted by phone or email. Details of your subject specific Liaison Librarian can be accessed from the following link: http://www.cdu.edu.au/library/LILL/index.html.

6

Unit Information

Directory of Assistance

Concern Contact Contact details

Matters concerning your unit/module Lecturer Refer to the Introduction in this Unit Information or the Staff Information section of this unit’s Learnline site (if applicable)

General academic issues relating to your course

Course Co-ordinator

Refer to the CDU website at http://www.cdu.edu.au/faculties & click on the relevant School link for further details

Assignment submission/return Please refer to page 12

Open Universities Australia (OUA)

External/invigilated end of semester exam period

External Student Support

Ph: (08) 8946 6483 Email: [email protected]

http://learnline.cdu.edu.au/support/ess/about.html

Learnline difficulties 24 hour / 7 days a week

Learnline Support

Ph: 1800 55 9347 Email: [email protected]

Difficulties accessing your Student Computer account

Technical difficulties in PC Labs

ITMS Helpdesk Ph: (08) 8946 6600 Email: [email protected]

Library services to distance and disabled students

CDU Library Ph: (08) 8946 7016 Email: [email protected]

Library enquiries http://www.cdu.edu.au/library/

Research Support - Help with library databases, Internet searching and Reference queries

Liaison Librarians

Help with subject specific searches and library databases, Internet searching and reference queries

CDU Library Email: [email protected]

Liaison Librarians contact details:

http://www.cdu.edu.au/library/LILL/index.html

Purchasing of text books and stationery

CDU Bookshop Ph: (08) 8946 6497 Fax: (08) 8946 6656 Email: [email protected]

Charles Darwin University Bookshop PO Box U476 Casuarina Campus Charles Darwin University DARWIN NT 0815

General administration enquiries e.g. admissions/ enrolments, course information, graduation

Obtaining Student cards and Student Computer accounts

Student Administration

Ph: (08) 8946 7766 Freecall: 1800 061 963 Email: [email protected]

7


Study Plan

Please note: the dates given are an indication of where you should be up to. This will enable you to be able to sit the exam during exam week so your final grade for TEP023 can be received at the end of semester. Please contact your lecturer to negotiate any extensions.

Week no.

Date (week starting)

Topic Required Readings*

Assessments

1 21st July 1. Integers (Part 1)

Topic 1

2 28th July 1. Integers (Part 2)

Topic 1

3 4th August 2. Decimals 3. Fractions (Part 1)

Topic 2 Topic 3

4 11th August 3. Fractions (Part 2)

Topic 3 Assignment 1 Due Fri week 4

5 18th August 4. Ratios Topic 4

6 25th August 5. Percentages Topic 5

7 1st September 6. Algebra (Part 1)

Topic 6

8-14 September Mid Semester Break

8 15th September 6. Algebra (Part 2)

Topic 6 Assignment 2 Due Fri week 8

9 22nd September 7. Equations and Formula (Part 1)

Topic 7

10 29th September 7. Equations and Formula (Part 2)

Topic 7

11 6th October 8. Measurement (Part 1)

Topic 8

12 13th October 8. Measurement (Part 2)

Topic 8 Assignment 3

Due Fri week 12

13 20th October Revision Practice exam

(not assessed)

14 & 15 27th October -7th

November Exam Period

Final Exam Date to be advised

* Required Readings refer to the Study Guide.

Exercises are located in the hard copy of the Study Guide at the end of Topic 8

and on-line in Learning Materials. Answers are located at the end of the

exercises.

8

Unit Information

Assessment information

You are expected to attempt all three assignments and the final exam for this unit.

• Each assignment has a value of 20% and final exam has a value of 40%.

• For any assignment extensions, you must contact your lecturer before the due date to negotiate an extension. Assignments over 1 week late cannot be accepted as solutions are made available on Learnline at this time.

• Duration of final exam is 3 hours and 10 minutes, where 10 minutes are reading time.

Note: unless stated otherwise, the due date for an assignment refers to the date

by which the assignment must be received by your lecturer or submitted to

Learnline.

ASSESSMENT ITEM

FOCUS VALUE DUE DATE

Assignment 1 Topics 1, 2, 3 20% Friday, Week 4 (14th August)

Assignment 2 Topics 4, 5, 6 20% Friday, Week 8 (18th September)

Assignment 3 Topics 7, 8 20% Friday, Week 12 (16th October)

Final exam All topics 40% Examination weeks (26

th Oct – 6

th Nov)

Date to be advised.

Weeks

The dates given are an indicator of a time frame where a student has commenced at the beginning of Week 1.

If you received your materials

• before the commencement of the semester, Week 1 should be considered the first week of the semester (see CDU web for semester dates).

• after the commencement of the semester, Week 1 and are unable to submit assignment 1 by the due date you will need to contact your lecturer to negotiate an alternative time frame

NOTE: that exams sat after exam week may result in grades not being available at the end of semester. Generally no extension can be granted for the final exam.

Delivery and submission

Note: Please remember to attach the assignment cover sheet to your

assignment and retain your own copy of the assignment in case of problems

with delivery.

9


The Assessments link on Learnline link to the printable TEP023 Assignment Cover sheet.

Assignments submitted without cover sheets will not be logged. You should also ensure that you include your name, student number, page number and unit/assessment details in the footer of every page.

Methods of delivery/submission for assessment tasks are outlined below.

Your lecturer will contact you with their preferred delivery method.

Learnline submission

Assignments may be submitted via Learnline:

• Find the assignment you wish to complete and click “Assignment 1

Submission". • Click on "Assignment 1- Submission” (in blue). • Browse for Local File" to attach your file; once located click “Open” and

the file name will appear in the Selected File section. • Click "Attach File": if you do not click this, your file will not be attached. • You may now click on "Save as Draft" or "Submit". • Only click "Submit" once you are certain the assignment is complete.

Warning: Once your assignment is submitted you cannot go back and make changes to it. Therefore if you are not ready for your lecturer/tutor to review your assignment use the Save button.

If you make a mistake (i.e. submit the wrong essay), you will need to email your lecturer to advise.

Post

• Postal submission to:

“Tutor’s Name” Orange Building 4, Level 2 School of Academic Language and Learning Charles Darwin University Darwin NT 0909

Personal Delivery

Delivery to the assignment slot located in Orange Building 4, Level 2, TEP Reception Office during opening hours.

Faxed and Emailed Assessments

Contact your tutor if you wish to fax or email your assessment.

10

Unit Information

Helpful tips for submission of your assessments

To assist with the efficient processing and return of your assessments:

• Ensure that you have read your tutor’s submission guidelines.

• Complete all your personal details on the cover sheet and ensure that each page contains your name, student number, unit code and assessment number.

• Do not forget to sign the plagiarism declaration on the assignment cover sheet.

• Make a copy of your assignment if you are submitting the original by post or by personal delivery. Keep the copy in a safe place.

• Staple your assignment (don’t use paperclips; other assessments can accidentally be attached to yours or vice-versa).

• Hand your assessments in on time.

• If you have been asked by your tutor to resubmit an assignment, please ensure you attach a new cover sheet and clearly indicate that it is a resubmission. This will avoid confusion in our logging records.

Extensions and late submission

Note: Apply for extensions before the due date.

• For any assignment extensions, you must contact your tutor before the due date to negotiate an extension. Assignments over 1 week late cannot be accepted as solutions are made available on Learnline at this time.

• Assessment tasks that are submitted after the due date without an approved extension will incur a penalty of 5% of the grade given, per day late. , For example, an assessment task awarded 35% and is three days late, will be given a final grade of 30%.

• Students who missed the scheduled date of the final exam will have to complete an application for Special Consideration to sit a supplementary exam.

Resubmission

In a situation where your work is assessed as being close to a pass grade, but that standard has not quite been reached, the opportunity to re-submit may be offered to you by the tutor.

11


Professional assessment

CDU recognises that students acquire skills and knowledge through work and life experiences. If you feel that you have the skills and knowledge to meet the learning outcomes of this unit, discuss the option of professional assessment with your lecturer. A result of PA may be given for students who have enrolled in a higher education unit and have been assessed as meeting the requirements of the unit on the basis of their professional background.

The PA grade has the same value as an ungraded pass (PU) when determining university and chancellor's medal eligibility and does not count towards the Grade Point Average for the course.

University Plagiarism Policy

Plagiarism is the presentation of the work of another without acknowledgement. Collusion is another person assisting in the production of an assessment submission without the express requirement, or consent or knowledge of the assessor. Staff and students may use information and ideas expressed by others, but this use must be identified by appropriate referencing. (CDU Academic and Scientific Misconduct policy).

For further information on referencing, refer to Study Skills Online.

Plagiarism will result in an automatic Fail and the student may be subject to disciplinary action by the University.

The overarching CDU policy on plagiarism is the Academic and Scientific

Misconduct Policy which can be viewed at: http://www.cdu.edu.au/governance/policies.html

12

Unit Information

Exams

External Examination information link:

http://learnline.cdu.edu.au/support/ess/examinations.html

Exam arrangements

Students who reside 80km or less from a CDU exam centre are required to attend at the centre nominated by CDU. An email will be sent to your student email account within one week following census date for the current semester advising of the allocated centre. Students who wish to use an alternative venue must reply to this email advising the changes. Students who wish to request a Private invigilator must submit a request for Special Arrangement Form for consideration by the faculty.

Students who reside 80km or more from a CDU exam centre will be required to sit an external exam at the nominated date and time. The venue for that examination will be arranged for students by Examinations Central and the student will be advised of that arrangement by email. It is vital that all students who receive emails from Examinations Central respond to them promptly as requested.

Failure to make invigilation arrangements and to return the appropriate information by the due date may jeopardise a student's opportunity to sit for examinations. An email will be sent to your student email account within one week following census date for the current semester advising of the requirements.

Students who wish to travel to one of the CDU exam centres must send an email request, by the due date to [email protected]

Familiarise yourself with the examination timetable: http://www.cdu.edu.au/timetable. The first draft becomes available approximately six weeks before the exam period but a check of the final timetable needs to be undertaken four weeks before the exam period, as details may have changed.

Exam dates and times are set. Students cannot please themselves on what time/day to sit examinations.

Photo ID must be taken to an exam, a student card or driver’s license is ideal. If you do not have a student card and wish to have one, you can apply for one from Student Services.

Please direct any supervised exam arrangement queries to External

Examinations on (08) 8946 6483 or email [email protected].

13


Assessment and examination rules

The following links provide information on CDU’s assessment and examination rules:

Grading Policy

CDU utilises a merit-based higher education grading schema which changed in March 2013. The Grading Policy provides for all student assessment to be conducted in a fair and impartial manner. http://www.cdu.edu.au/governance/policies.html

Higher Education Examination Policy

As part of the assessment for a unit, higher education students may be required to undertake a formal examination during a coordinated examination period. This policy is available at http://www.cdu.edu.au/governance/policies.html

Exam conditions

The duration of the exam is three hours writing time plus 10 minutes of reading time. During the 10 minute reading time you are able to write on the scribble paper provided but not in your answer booklet.

Formula Sheet

You are entitled to bring into an exam one A4 sheet of your own notes (formula sheet). They are to be handwritten using only one side of the A4 sheet, the reverse side is to be blank. The notes cannot be word processed or included any photocopied material.

Calculators of any type are permitted.

Identification

Students must provide identification in order to enter the exam room. The CDU student card is the preferred method of identification however, a driver’s licence should suffice for external students.

Special examinations and special consideration

Staff at the Student Administration and Equity Services Exams Team can assist with the processes for special examinations, special consideration and special arrangements.

14

Unit Information

TEP023 Foundation Maths

Assignment 1

Charles Darwin University is unable to accept and process assignments that are not accompanied by this completed cover sheet.

Student Name Student ID Assignment Number Unit Submission Date

Student Address Phone Tutor’s Name

1. Complete the boxes above with your details..... 2. Scan your assignment to make a single pdf .

Multiple files of separate pages will not be accepted . 3. Name your submitted pdf file using the shaded guide below.... Student Name Student ID Assignment Number Unit

Johnny Angel s 234543 Ass 1 TEP024

4. Submit your assignment as a single pdf to Learnline

Student Comments

Tutor’s Comments

Completion of this coversheet is a required part of your assignment. It is also an acknowledgement that you have read and understood the University’s Academic and Scientific Misconduct Policy (link below) and you affirm that all the work included as part of this assignment is your own except where there is clear acknowledgement and reference to the work of others. Academic and Scientific Misconduct Policy - Charles Darwin University

Student Signature Date

17


Assignment 1: Directed Numbers, Decimals, Fractions

Due date: Friday, Week 4

Value: 20%

Task Complete the questions listed. Show all of your working. Clearly label the questions and answers.

Presentation Show all working as there are partial marks available for each step.

Assignments must be done in pen, not pencil or word processed.

Ensure your working is clear and complete.

Highlight the final answer.

Write on lined paper, not on the question sheet.

Use enough space so that your working is readable and there is room for the marker to correct or make comment.

Assessment criteria 1. Accurate use of mathematical methods.

2. Demonstrated understanding of mathematical knowledge.

3. Clear presentation (No marks will be awarded for hard to read assignment).

4. Completeness of working (No marks will be awarded for not showing full working).

5. Logical approach.

Remember: The working is more important than the answer!!

18

Unit Information

19


Questions Total Marks: 72

PLEASE NOTE: ASSIGNMENT 1 IS NON-CALCULATOR

• All working out should be done by hand.

• All working out should be shown.

1. Evaluate the following showing full working:

2. Calculate the following by hand. Show complete and mathematically correct setting out. Refer to example given below.

Example: -21.4 × 5.5 1

2 2

12

4

= -117.7 × 5 5

(- × + = -) 1 0 7 0

1 0 7 0 0

1 1 7 7 0

a) −58.6 × −0.06 (2)

b) 0.4656 ÷ −0.06 (2)

3. Complete the operations below showing full working.

a) 856 × 36 (3)

b) 9809 ÷ 17 (3)

a) 7896 + 569

b) 2009 − 985

c) 867 × 7 =

d) 1284 ÷ 8 =

(2, 2, 2, 2)

20

Unit Information

4. a) Round 782463 to the nearest (i) 100, (ii) 1000. (2)

b) Use rounding to make sensible estimates for the answers to

(i) 234 × 38 (2)

(ii) 67852 ÷ 940 (2)

(iii) 299 − 27 + 423 (2)

(iv) ��×��

�� (2)

5. Solve the following taking account of order of operations.

a) 40 − �16 ÷ 2)× �4 + 1) (2)

b) 63 ÷ 9 + 40 − �35 ÷ 7) (2)

c) 11 + 4 × 3_� − �6 + 5 × 2) (2)

d) (100 – 102)2 + 2 24 3+ (3)

6. Using the numbers 120 and 75, answer the following:

a) Write each number as a product of their prime factors. Give your answer in index notation. (4)

b) Using your answer to part a) or otherwise, find the highest common factor of 120 and 75. (2)

c) Using your answer to part a) or otherwise, find the least common multiple of 120 and 75. (2)

7. Copy and complete the following table.

Mixed number Improper fraction Reciprocal

6�

�

8

3

(4)

8. Calculate the following, showing all working out.

21


Give answers as mixed numbers and simplifying where possible.

a) 3�

�+

�

��+

�

� (3)

b) 4�

�− 2

�

� (2)

c) ��

�÷ 3

1

3 (2)

d) �

��×

�

�� (1)

e) What is 9/8 of 5/7 ? (1)

f) How many one thirds are there in 5? (1)

9. Write the following as a fraction operation and then calculate using fractions operation rules.

a) Gina has to spend3 10! of her weekly income on food and

board and 1 5! on travel to and from university and 1 8! on

text books. What fraction of her income does she spend? (3)

b) Use fraction operations to show that 3 8! of her income

remains at the end of each week? (2)

c) If her total weekly income is $520, calculate the amount of her income that remains each week. (2)

d) Gina wants to save money for a holiday to Bali at the end of the year. She estimates that her holiday will cost her $2200, but she only has 14 weeks of work till then. Will she have enough money for her holiday if she manages to save all her remaining income each week? (2)

22

Unit Information

10. Problem Solving. (4)

Gerald is in training for the next Tour de France. He practices by doing a lap around a set route in his neighbourhood. Each day his time is 4 minutes faster than on the previous day. In total he spent 10 hours in training over four days. Determine his lap time on the last day of practice. Give your answer in minutes. [HINT: Remember there are 60 minutes in one hour.] Show all working to obtain your answer.


Assignment 2








Student Comments

Tutor’s Comments



25


Assignment 2: Decimals, Fractions, Ratio, Percent, Introduction to Algebra


Value: 20%










6. Clear presentation (No marks will be awarded for hard to read assignment).

3. Completeness of working (Show full working).



26

Unit Information

27


Questions Total marks: 72

QUESTIONS 1 TO 5 ARE NON CALCULATOR

• All working out should be done by hand.

• All working out should be shown.

1. Copy and complete the following table.

(6)

2. Insert brackets where necessary to make the following equations true. Show full working required to obtain the required answer.

a) 5 + 7 × 3 − 2 × 9 = 18 (2)

b) 5 + 7 × 3 − 2 × 9 = 68 (2)

c) 5 + 7 × 3 − 2 × 9 = 108 (3)

3. Calculate the following showing complete setting out and working.

a) 50.8 + 9.056 + 0.059 (2)

b) 800.05 − 62.875 (2)

Fraction Decimal Percentage

3

8

0.75

525%

28

Unit Information

4. Calculate the following. Give answers as mixed numbers, simplifying where possible. Watch out for order of operations.

")2�

�−

�

��÷

�

�= (3)

#)�

�+ 2

�

�×

�

��= (3)

5. There are 15 oranges available to be cut up for a hockey team.

Each member of the team will get two thirds of an orange.

Using operations with fractions, you need to calculate how many team members will get two thirds of an orange. (3)

QUESTION 6 TO 7 – CALCULATORS CAN BE USED

• Working out should be shown.

6. Calculate the following:

a) A car dealer makes a 15% loss when selling a car for which he paid $3600. What is the selling price of the car? (2)

b) At a small day care centre, �

�of the children are under 2

years of age. If there are 27 children under 2 years of age, how many children attend the day care centre? (2)

c) Jarryd scored 59 marks out of a total of 85 marks for his first assignment. Calculate this mark to the nearest percent. (1)

d) Due to a rise in the real estate market in Sydney a seller makes a profit of $10,400. This profit represents 8% of his original purchasing price. Calculate his original purchasing price. (3)

e) The Australian dollar is tipped to climb to $1.12 American. If Simon decides that he will need $7800 American for his trip to Hawaii, what will this cost him in Australian dollars if he can change his money at the tipped rate? (2)

29


7. Three families, the Gordons, the Harveys and the Jellybins are sharing a house boat for an 8 day pleasure and fishing holiday. They decide to split the total cost of the house boat in the ratio of 2 : 5 : 6 respectively. If the total cost of the houseboat rental is $5200 for the 8 days, calculate

a) How much each family will pay for the houseboat? (3)

b) How much does each family pay per day. (3)

8. Evaluate the following by substituting in the value shown for the unknown variable:

")$� if $ = −9 (1)

#)�2" + #)�if " = −1"%&# = 5 (2)

')�(��

� if ) = −6 (2)

9. Simplify the following expressions.

a) 7$� + 2$�4$ − 1) − 2$ (2)

b) 7 − $ + $) − $ + 2)$ (2)

c) 3�) − )�) + 8)� − 6) (2)

d) −6"# × 9"�# (2)

e) ��*+,-

�*,- (2)

f) .�*+,/

-×

-+

��,0 (3)

g) 48$�)� ÷ �

1(0 (3)

30

Unit Information

10. Factorize the following expressions:

a) 6$ − 24 (1)

b) 7$ − 49)$� (2)

c) 8"�# − 6"#� (2)

11. Problem Solving:

Sue is packing boxes for a removal company. She packed 55 boxes in 5 hours. Since she is getting better at it, each hour she packs 2 more boxes than the previous hour. How many did she pack in the last hour? (4)

This question needs to be done with algebra, not the guess,

check, refine method. Show all working.


Assignment 3








Student Comments

Tutor’s Comments



33


Assignment 3: Fractions, Ratio, Percent, Measurement and Algebra


Value: 20%










3. Clear presentation (No marks will be awarded for hard to read assignments).

4. Completeness of working (Show full working).



34

Unit Information

35


Questions Total marks: 72

1 Calculate the following:

a) $1153.75 Australian is worth to $1200 American. Calculate what one dollar Australian worth in American currency? Give your answer rounded to the nearest cent.

(2)

b) Marianne has a total of 12 little girls in the house for a sleepover party for her 9 year old daughter’s birthday. At midnight they are suddenly all very hungry. Marianne decides to order pizzas for the girls, enough pizzas so that each girl will have three quarters of a whole pizza. How many pizzas does Marianne need to order? (2)

c) I paid a tradesman a total $660 repairs to my air conditioner. The amount included 10% GST. Calculate the cost of the repairs and the amount of GST paid. Show that these two values add to the total of $660. (3)

d) The ratio of the height to the width of a rectangular video display screen is 5 to 12. If the height of the screen is 32.5 cm, calculate its width and diagonal length, x, in cm. (4)

2. Simplify the expressions

a) 63$�) ×.1/

�1( (2)

b) –4ab ×12

ba2

(2)

c) 7a(a + 2) – a(1 – a) (2)

5

12

x

36

Unit Information

3. Solve the following, showing algebraic working out. You should not be ‘guessing’ answers, or using trial and error.

Example 3x + 6 = –9

3x + 6 – 6 = –9 – 6

3x = –15

3x3

= – 153

x = –5

a) a + 5 = –21 (2)

b) 6x – 12 = 18 (2)

c) 3n2

= –6 (2)

d) 2(p – 7) + 2p = 50 (3)

e) 2a – 74

= – 13

(3)

f) –3(x – 2) = 2(x + 8) (3)

4. The average (Av) of two numbers ( 1x and 2x ) is found by adding the

numbers together and dividing the total by two as shown in the formula below:

1 2

2v

x xA

+=

a) Find the average of �

� and

�

� as a fraction operation showing

full working. (3)

b) Rearrange the formula to make 1x the subject. (2)

c) The average of two numbers is �

�. One of the numbers is

�

�.

Find the other number. (2)

37


5. Convert the following to the units given:

a) 65 kg to milligrams. Give your answer in scientific notation. (3)

b) 47 million litres to kilolitres. (2)

c) 120 km/hr to m/s. Give your answer to 2 decimal places. (3)

6. Copy and complete the following table. (4)

Ordinary Number Scientific Notation

780

2.058 × 10�

0.0765

7.8 × 10.� 7. The perimeter of the triangle below is 37 cm.

a) Write an equation for the perimeter (P), using the information

given and simplify. (2)

b) Find the length of all sides of the triangle. (3)

x cm (x + 2) cm

(3x − 5) cm

38

Unit Information

8. A garden bed is shown below. It is a rectangle with a semi circular end. In the centre is a concrete circular fountain with a radius of 90 cm (shaded).

a) What is the surface area of the garden bed? Give your answer in square

metres correct to one decimal place. (3)

b) Mulch to a depth of 15 cm is to be put on the garden bed. Calculate the volume of mulch in m3. Give your answer correct to 1 decimal place. (2)

c) How many bags of mulch will need to be purchased if each bag

holds 125 litres. (1000 litres = 1 m3). (2)

d) A concrete strip border is to be placed around the perimeter of the garden. Calculate the length of strip border that is required. (2)

8.4 m

4.6 m

39


9. The volume a cylindrical water pipe is given by the formulae

2 = 34�ℎ.

a) Calculate the volume of the pipe in the diagram above, where the radius is 30 cm and the length is 2 m

(i) in cm3, to the nearest one hundred cm3. (3) (ii) in m3. (2)

b) The pipe has sprung a leak. Over one hour, water drains out of the pipe which was at full capacity, until it is completely empty. Calculate the average rate of leakage in litres per minute. (2)

30 cm

2 m

40

Unit Information

41


Exam Revision

No due date

Value: Non-assessable, no marks.

This is not required to be submitted for marking.

A practice exam will be made available in Week 12.

Task Complete all questions showing all working.

Attempt the exam taking 3 hours plus 10 minutes reading time.

Preparation Read through the previous three assignments.

Practice the assignment problems that needed more work using the solution sheets.

Presentation • Handwriting and diagrams must be legible.

• Use plenty of space.

• Give answers to sensible precision.

Assessment criteria • Accuracy.

• Completeness of working.

unit information foundation...

Documents