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954 Mathematics (T) Archive

954 mathematics (t) files, 954 mathematics (t).

Updated on Friday, 14 July 2023

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An Overview To Ace Maths T/Maths M For Your STPM

31 March 2022

7 minutes to read

• 01. Why Is It Relevant To Take STPM Maths (T/M) For Your Form Six Studies?
• 02. What Is The Latest Syllabus For STPM Maths (T)?
• 03. What Topics Will You Cover For STPM Maths (M)?
• 04. How To Be Fully Equipped For Your STPM Maths T/M Paper?

Do you know that there is a Pi Day celebration in the world of Mathematics?

It is observed on the 14th of March every year because it is the first three significant figures of pi (π).

If you have paid attention during your Maths lessons, you probably will know the significance of significant figures when you are writing down your answers for your Maths examinations.

This same principle applies even when you have decided to take Maths as a STPM subject for your Form 6 studies.

In this article, we will be reviewing the STPM Maths subjects in terms of their significance, examination format, syllabus as well as practical ways to excel in them.

Why Is It Relevant To Take STPM Maths (T/M) For Your Form Six Studies?

First of all, let's talk about the differences between the two Maths subjects that are offered in STPM.

STPM Mathematics (T) stands for Technology and is taken by Science stream students (compulsory).

STPM Mathematics (M) stands for Management and is taken by Art stream students (optional).

Basically, these two Maths subjects seek to fulfil the objective to enable students to acquire problem-solving skills and equip students with a foundational understanding of mathematical thinking and concepts before they proceed to related programmes for their tertiary level education.

Here are 3 main reasons why you should include Maths as one of your subjects in STPM.

1. You enjoy and excel in Mathematics 

In other words, Mathematics fascinates you and you find that it's easier to focus during the lessons by recognizing patterns, applying formulas and equations. That goes to say, you probably did well for your SPM Maths and Additional Maths subjects too. Hence, it is quite natural for you to continue to study Maths because you get to dive deeper and wider into this subject .

Mathematics is the most beautiful and most powerful creation of the human spirit. -Stefan Banach

2. You will have a strong foundation of Pre-University Maths 

Trust us when we say that the newly revised Mathematics (T) and Mathematics (M) syllabus is comprehensive. You will see in the later paragraphs that you get to study 6 chapters each semester and you will be tested in terms of central assessments (written tests) and school-based assignments for coursework assessments.

In total, you will study 18 chapters covering various topics . You will also be graded in terms of grade point average (GPA) every semester, which is similar to other Pre-University programmes.

3. You would want to have further study in a Mathematics-related field for your degree 

As a Form 6 student, you would have noticed that most schools have already listed a combination of subjects according to Art/ Science streams to accommodate what students intend to study for their degree.

You may refer to the below table to look at the combination of subjects that are offered and match them with your desired career choice/programme that you want to study later.

Don't forget to e xplore various useful tips to score for your STPM Maths paper .

What Is The Latest Syllabus For STPM Maths (T)?

If you have decided to take Science stream for your Form 6 studies, you naturally have to take STPM Maths (T) as one of the subjects. There are 6 chapters each semester, with each semester focusing on a different theme.

What sets the syllabus of STPM Maths (T) and STPM Maths (M) apart is the inclusion of Geometry topics in the first semester and also several different topics of Calculus and Statistics as shown below.

We have highlighted some of the common topics of both Maths (T) and Maths (M) in the lists below for your reference. In some ways, the topics do overlap but if you look closer, you will see that some of them are different.

Let's look at what you'll learn in STPM Maths (T).

First Term: Algebra and Geometry [954/1 Paper 1]

• Chapter 1 Functions
• Chapter 2 Sequences and Series
• Chapter 3 Matrices
• Chapter 4 Complex Numbers
• Chapter 5 Analytic Geometry
• Chapter 6 Vectors

Second Term: Calculus [954/2 Paper 2]

• Chapter 7 Limits and Continuity
• Chapter 8 Differentiation
• Chapter 9 Integration
• Chapter 10 Differential Equations
• Chapter 11 Maclaurin Series
• Chapter 12 Numerical Methods

Third Term: Statistics [954/3 Paper 3]

• Chapter 13 Data Description
• Chapter 14 Probability
• Chapter 15 Probability Distributions
• Chapter 16 Sampling and Estimation
• Chapter 17 Hypothesis Testing
• Chapter 18 Chi-squared Tests

Improve your understanding and question-answering techniques on these topics through the practice of past year papers collection of STPM Maths .

What Topics Will You Cover For STPM Maths (M)?

We now move on the syllabus of STPM Maths (M). Out of 18 chapters, this subject share 9 chapters with STPM Maths (T).  However as mentioned earlier, this subject is for Art stream students who would probably take on Business /Finance related programmes in the future.

Just as the name implies, it is Maths for Management. Hence, you will notice that there is a whole different theme for the final semester which focuses on financial and decision mathematics.

First Term: Algebra and Calculus [950/1 Paper 1]

• Chapter 4 Differentiation
• Chapter 5 Integration
• Chapter 6 Differential Equations

Second Term: Statistics [950/2 Paper 2]

• Chapter 7 Data Description
• Chapter 8 Probability
• Chapter 9 Probability Distributions
• Chapter 10 Correlation and Regression
• Chapter 11 Index Numbers
• Chapter 12 Time Series

Third Term: Financial and Decision Mathematics [950/3 Paper 3]

• Chapter 13 Interest, Annuity and Depreciation
• Chapter 14 Cost, Revenue and Profit
• Chapter 15 Linear Programming
• Chapter 16 Critical Path Analysis
• Chapter 17 Inventory Models
• Chapter 18 Game Theory

One important note to remember is that the coursework assessments will be conducted during each semester and the topics will be taken from what you will learn from the 6 chapters for both STPM Maths (T) and Maths (M) respectively .

Learn the perfect way to master the marking scheme of your STPM Maths paper .

How To Be Fully Equipped For Your STPM Maths T/M Paper?

You have now decided which STPM Maths to take according to your subject combinations and desired career pathway. Now let's look at the steps below on you can be ready to score well for your paper.

1. Understand the latest examination format

Since 2012, the Malaysian Examinations Council (MEC) has introduced a new modular system where all Form 6 subjects will be taught over three terms. This means you have to sit for three central examination at the end of each term followed by coursework in between.

The duration for each written test is 1 hour and 30 minutes and the mark allocation is 60%.

You can read further on the complete and latest exam format for STPM (T) and (M) Maths here, which includes the details for the coursework assessment.

2. Revise with physical and non-physical Maths learning resources

Textbooks for three semesters? Checked. Reference books for sample questions? Checked. Past year papers collection and trial papers from other states? Checked. Youtube tutorial videos? Checked. STPM students blogs/social media groups? Checked. 

Remember that your revision journey does not have to be a linear process. Be open to various Maths learning materials and get the best out of every learning method.

When you don't feel like looking at textbooks and notes, you can opt to revise through tutorial videos on past year questions.

When you feel like putting what you have learnt in class into test, you can dive into some past year questions.

Feeling demotivated and a little tired? Read what former STPM students had to say about their experience.

3. Invest in a private Maths tutor

Do you find that it is slightly challenging to focus in school and prefer to learn in a more flexible manner?

Don't worry, we got you covered!

You just need extra guidance from a reliable and experienced private Maths tutor!

Bear in mind that having a private Maths tutor is different from a regular Maths tuition teacher.

A private Maths tutor can help you to:

1. Plan and personalised your learning and revision strategies  2. Explore different ways of looking at the questions 3. Provide you with extra exercises  4. Immediately give you direct feedback and guidance  5. Give you one-to-one attention 

Sounds great right? Your next question would be who/which platform should you start looking?

We've got the answer! Introducing Superprof !

Superprof is a student-friendly and student-centric platform that enables students to find the perfect tutor!

You can learn Maths anywhere and anytime you want. You can find amazing Maths tutors from:

• Seberang Perai
• Kuala Lumpur
• Subang Jaya
• Johor Bahru
• Kota Kinabalu
• and many more

Of course, you can also choose from amazing online Maths tutors. There are currently 324790 online tutors who offer Maths lessons at Superprof. Our Maths tutors are equipped to facilitate online lessons effectively via various digital tools and online teaching platforms such as Zoom, Google Meet and Skype.

Currently, the average price of Maths lessons (in general) is RM44 per hour. However, do bear in mind that the price of your lessons can vary due to a few factors such as the tutors' teaching experience, the frequency and duration of your lessons and the location of your lessons. You don't have to worry as you can select a tutor based on your maximum budget through the filtering system.

What's better is this. 97% of tutors at Superprof offer their first lesson for free!

Start exploring various Maths tutors' profiles at the Superprof website to connect with one today.

We guarantee you that you will benefit significantly from your Maths lessons and achieve a significantly good result for your STPM Maths paper!

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RESTRICTED MAJLIS PEPERIKSAAN MALAYSIA (MALAYSIAN EXAMINATIONS COUNCIL) PEPERIKSAAN SIJIL TINGGI PERSEKOLAHAN MALAYSIA (STPM) (MALAYSIA HIGHER SCHOOL CERTIFICATE EXAMINATION) Manual for Mathematics (T) Coursework Paper 4 (954/4) STPM 2017 REMINDER: This manual is specifically for the use of teachers or examiners only and should not be given to unauthorised persons. ___________________________________________________________________________ This manual consists of 14 printed pages. © Majlis Peperiksaan Malaysia 2016 RESTRICTED RESTRICTED Contents Part 1: Teacher’s Manual for Mathematics (T) Coursework Page 1. 1 Introduction 1 1.2 Aims 1 1.3 Manual for Coursework 1 1.4 Implementation 1 1.5 Assignment Reports 1 1.6 Assessment 2 1.7 Moderation 2 1.8 Assignment Record 2 1.9 Assessment Criteria 3 Part 2: Student’s Manual for Mathematics (T) Coursework 7 7 2.1 Assignment Reports 8 2.2 Viva 2.3 Assessment criteria 2.4 Assignments RESTRICTED RESTRICTED STPM 2017 MATHEMATICS (T) COURSEWORK Part 1: Teacher’s Manual for Mathematics (T) Coursework 1.1 Introduction This manual consists of the administration of Mathematics (T) coursework. 1.2 Aims The Mathematics (T) coursework is intended to enable students to carry out mathematical investigation and mathematical modelling so as to enhance their understanding of mathematical processes and applications and to develop soft skills. 1.3 Manual for Coursework 1.3.1 The manual contains regulations and guidelines on the conduct and assessment of coursework which needs to be implemented by the school as well as coursework assignments. 1.3.2 The school authority is responsible to make copies of Part 2: Student’s Manual for Mathematics (T) Coursework of this manual to be given to the students. 1.3.3 Students are required to complete the coursework which comprises of three assignments: Assignment A, Assignment B and Assignment C set down in this manual. They should carry out these assignments in the respective terms. 1.4 Implementation 1.4.1 Students must carry out each assignment individually. Plagiarism will be penalised. 1.4.2 Teachers must monitor the progress of the students’ coursework. It is, however, not acceptable for teachers to give detailed suggestions as to how the work may be improved to meet the assessment criteria. Examples of unacceptable assistance are as follows: • detailed indication of errors or omissions • the provision of detailed outlines, analysis, discussion, or conclusion specific to the coursework tasks • personal intervention to improve the presentation or content of the coursework 1.5 Assignment Reports 1.5.1 All assignment reports should follow the specification in Part 2. 1.5.2 The assignment reports should be concise. The table of contents, folders, decoration and binding are not required. References, if any, should be included at the end of the report and cited in the texts. 1.5.3 Assignments may be written either in English or Bahasa Melayu. 1.5.4 Each student is required to write the declaration statement to confirm that the assignment report submitted is his/her own work. 1 RESTRICTED RESTRICTED MATHEMATICS (T) COURSEWORK STPM 2017 1.5.5 The teacher is required to set the deadline for the submission of each assignment report in the specified date. 1.5.6 Once an assignment report is submitted, it is not allowed to be revised or replaced. Adding or removing of any material to or from the assignment report is prohibited. 1.6 Assessment 1.6.1 Assignment reports are to be marked by the teacher according to the assessment criteria stipulated in this manual. 1.6.2 The annotation enable the teacher to distinguish as precisely as possible where the student’s work has met the assessment criteria specified in this manual. 1.6.3 The viva for an assignment should be carried out by the teacher in the relevant term after the assessment of the assignment reports of all students. The viva should take about 15 minutes for each student. 1.6.4 The assessment of coursework must be completed four weeks before the STPM examination for each term. 1.6.5 The student may be given grade ‘X’ for the subject grade for failing to send assignment report on the specified deadline. 1.7 Moderation 1.7.1 A common standard for marking must be agreed upon if more than one teacher in the same school is involved in assessing the assignment. 1.7.2 All components of assessment are subjected to moderation by an external moderator appointed by the Malaysia Examinations Council (MEC). Random samples of assignment reports may be requested. 1.8 Assignment Record 1.8.1 The teacher is required to record the marks for each assignment report and the viva in the Assignment Record. 1.8.2 In the event that a student has transferred to another school, the principal of the former school is responsible to submit the student’s Assignment Record to the principal of the new school. These records must be certified by the subject teacher of the former school. 1.8.3 The moderator is required to record the marks for the assignment report moderated by him/her in the Assignment Record. 1.8.4 The total marks for each student must be submitted to MEC via electronic submission by the specified date. 1.8.5 All the assignment reports and assignment records are evidence, and should be kept and destroyed under secure conditions six months after the released of the STPM result in the following year. 2 RESTRICTED RESTRICTED MATHEMATICS (T) COURSEWORK STPM 2017 1.9 Assessment Criteria 1.9.1 The assignment reports should be graded based on the assessment criteria below. Assessment criterion Description Mark Max mark 3−4 4 (a) Introduction Provides sufficient description to 1−2 8 the given problem. 7−8 5−6 10 Provides limited description to 3−4 the given problem. 1−2 9 − 10 Uses correct mathematical 7−8 methods to address the given 5−6 problem. 3−4 1−2 (b) Methodology Uses some correct mathematical methods to address the given problem. Uses limited correct mathematical methods to address the given problem. Uses inappropriate mathematical methods to address the given problem. Performs correct mathematical calculations to obtain correct results. Performs correct mathematical calculations to obtain some results. (c) Results Performs some correct mathematical calculations to obtain some results. Performs some correct mathematical calculations but fails to obtain results. Performs incorrect mathematical calculations and fails to obtain results. 3 RESTRICTED RESTRICTED STPM 2017 MATHEMATICS (T) COURSEWORK Assessment criterion Description Mark Max mark 5−6 Provides sufficient discussion of outcomes related to the given problem. (d) Conclusion Provides some discussion of 3−4 6 outcomes related to the given problem. Provides incorrect discussion of 1−2 outcomes related to the given problem. Presents mathematical 11 − 12 information clearly using appropriate representation, terminology and notation. Presents mathematical 9 − 10 information satisfactory using appropriate representation, terminology and notation. (e) Communication Presents mathematical 7−8 12 information satisfactory using 5−6 some appropriate representation, terminology and notation. Presents mathematical information fairly using some appropriate representation, terminology and notation. Presents mathematical 3−4 information fairly using in appropriate representation, terminology and notation. Presents mathematical 1−2 information poorly using inappropriate representation, terminology and notation. 4 RESTRICTED RESTRICTED STPM 2017 MATHEMATICS (T) COURSEWORK 1.9.2 The viva should be carried out based on the assessment criteria below. Assessment criterion Description Mark Max mark 13 −14 (a) Understanding of Provides complete and correct the assignment explanations and critical discussions using appropriate terminology Provides complete and correct 11 − 12 explanations using appropriate terminology Provides some correct 9 − 10 14 explanations using appropriate 7−8 terminology Provides some correct explanations using some appropriate terminology Provides few correct explanations 5−6 using some appropriate terminology Provides few correct explanations 3−4 using inappropriate terminology Provides incorrect explanations 1−2 using inappropriate terminology (b) Communication Presents explanations clearly and 5−6 effectively Presents explanations 3−4 6 satisfactorily Presents explanations 1−2 ambiguously or inconsistently 5 RESTRICTED RESTRICTED MATHEMATICS (T) COURSEWORK STPM 2017 Assignment Record MATHEMATICS (T) COURSEWORK PAPER 4 (954/4) STPM 2017 Session S / I/ C no. Name of school/ institute Name of candidate Centre no./Index no. Study term Assessment criterion Mark allocated Teacher’s mark Moderator’s mark Third First 1. Assignment Report 4 Second (a) Introduction 8 Third (b) Methodology 10 (c) Results 6 (d) Conclusion 12 (e) Communication 14 2. Viva 6 (a) Understanding of the assignment 60 (b) Communication Total mark 4 8 1. Assignment Report 10 (a) Introduction 6 (b) Methodology 12 (c) Results (d) Conclusion 14 (e) Communication 6 60 2. Viva (a) Understanding of the assignment 4 (b) Communication 8 Total mark 10 6 1. Assignment Report 12 (a) Introduction (b) Methodology 14 (c) Results 6 (d) Conclusion 60 (e) Communication 180 2. Viva (a) Understanding of the assignment (b) Communication Total mark Overall total mark *TEACHER’S/EXAMINER’S OR/AND MODERATOR’S DECLARATION *I/We certify that the marks and details recorded above are correct. Study term First Second Teacher’s signature Name Date Hand phone number Moderator’s signature Name Date Hand phone number *Delete which is not appropriate. 6 RESTRICTED RESTRICTED STPM 2017 MATHEMATICS (T) COURSEWORK Part 2: Student’s Manual for Mathematics (T) Coursework 2.1 Assignment Reports 2.1.1 A complete assignment report should be structured as follows: (a) Introduction • description of the problem (including the title) (b) Methodology • the application of appropriate method or strategy to address the given problem • the generation or collection of relevant data and information, where appropriate (c) Results • mathematical calculations and results with mathematical reasoning • interpretation of results (d) Conclusion • discussion of outcomes 2.1.2 Focus should be on the successful application of appropriate mathematics, not necessarily difficult techniques. The assignment reports should be written in the passive voice using correct mathematical language, terminology and notation. 2.1.3 Each student must write the declaration statement and attached to the assignment report: Declaration This is to certify that the assignment report submitted is based on my own work. Signature:...................................... Name: I/C Number: Date: 2.2 Viva 2.2.1 Each student is required to attend a viva session for an assignment in each term conducted by the subject teacher after the assessment of the assignment reports of all students. 2.2.2 Students are expected to demonstrate the understanding of the assignments as reflected in their assignment reports. 7 RESTRICTED RESTRICTED STPM 2017 MATHEMATICS (T) COURSEWORK 2.3 Assessment criteria Students will be assessed via the assignment reports and viva based on the assessment criteria below: Assessment criterion Mark allocated 1. Assignment Report 4 (a) Introduction 8 (b) Methodology 10 (c) Results 6 (d) Conclusion 12 (e) Communication 2. Viva 14 (a) Understanding of the assignment 6 (b) Communication 60 Total mark 8 RESTRICTED RESTRICTED STPM 2017 MATHEMATICS (T) COURSEWORK MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA 954/4 STPM 2017MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MMAAJJLLIISSPPEEPPEERRIIKKSSAAAANNMMAALLAAYYSSIIAAMMMAAJJALLIISSTPPHEEPPEEERRMIIKKASSAATAAINNCMMSAALLAA(YYTSS)IIAAMMAAJJLLIISSPPEEPPEERRIIKKSSAAAANNMMAALLAAYYSSIIAA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MMAAJJLLIISSPPEEPPEERRIIKKSSAAAANNMMAALLAAYYSSIIAAMMAAJJLLIISSPPPEEAPPEEPRREIIKKRSSAAAA4NNMMAALLAAYYSSIIAAMMAAJJLLIISSPPEEPPEERRIIKKSSAAAANNMMAALLAAYYSSIIAA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MMAAJJLLIISSPPEEPPEERRIIKKSSAAAANNMMAALLAAYYSSIIAAMMAACJJLLOIISSPPUEEPPREERRSIIKKESSWAAAANNOMMRAALLKAAYYSSIIAAMMAAJJLLIISSPPEEPPEERRIIKKSSAAAANNMMAALLAAYYSSIIAA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA MAJLIS PEPERIKSAAN MALAYSIA (MALAYSIAN EXAMINATIONS COUNCIL) SIJIL TINGGI PERSEKOLAHAN MALAYSIA (MALAYSIA HIGHER SCHOOL CERTIFICATE) Instruction to candidates: This paper consists of three assignments. You will have to complete the tasks for each assignment in the respective terms. Term 1: Assignment A - Mathematical Investigation (60 marks) Term 2: Assignment B - Mathematical Modelling (60 marks) Term 3: Assignment C - Mathematical Modelling (60 marks) The maximum marks for this paper is 180. It is important that you work independently from other candidates and make sure that you hand in is your unaided work. Read the tasks carefully to make sure that you understand what is required. Perform all tasks and make sure that you check your work carefully to ensure that the work you produce is accurate and correct. This question paper consist of 4 printed pages. [Turn over © Majlis Peperiksaan Malaysia 2016 RESTRICTED STPM 2017 - 954/4/P3 RESTRICTED MATHEMATICS (T) COURSEWORK STPM 2017 2.4 Assignments Assignment A: Function (Investigation) A function is a relation whereby every input gives a unique (exactly one) output. There are four possible ways to represent a function; verbally, numerically, visually and algebraically. 1 Discuss, with examples, the differences between a relation and a function. 2 Give at least five different representations of a simple discrete function. 3 Give at least three different representations of a continuous function. 4 Consider the algebraic function f : x a a(x − b)n + c. Describe, with sketch graphs, the function f for different values of a, b and c for n = 1, 2 and 3. 5 Repeat task 4 with the trigonometric function g : x ! asin[n(x −b)]+ c. 6 Repeat task 4 with an exponential or logarithmic function of your own choice. STPM 2017 - 954/4/P3 2 RESTRICTED RESTRICTED MATHEMATICS (T) COURSEWORK STPM 2017 Assignment B: Mathematical Modelling In the applications in science and technology, some definite integrals obtained are difficult to evaluate by the usual integration techniques. It is a common practice to approximate a definite integral by integrating the first few terms of the series expansion of the integrand. The period T of a pendulum of l released α radians with the by T =4 l π 1 dθ , 2 2 1 − k 2 sin2 θ ∫length at an angle vertical given g0 where k = sin α and g is the acceleration due to gravity. 2 1 (a) Using the Maclaurin theorem, find the first two non-zero terms in the series expansion of 1 . 1 − k 2 sin2 θ (b) Show that the period of the pendulum is given by T1 ≈ 2π ℓ ⎜⎝⎜⎛1 + π2 sin 2 α ⎟⎞⎟⎠ . g 24 2 ( )2 − 1 α Using binomial expansion of 1 − k 2 sin2 θ 2 , where k ≈ 2 , show that the period of the pendulum is T2 ≈ 2π ℓ ⎜⎜⎝⎛1 + α2 ⎠⎟⎟⎞ . g 16 3 Tabulate T1 and T2 for a one meter pendulum, with g =10 m s−2 for different values of α in each of following cases; (a) 0.01 ≤ α ≤ 0.50 , (b) 1.0 ≤ α ≤ 2.5. Comment on your results. STPM 2017 - 954/4/P3 3 [Turn over RESTRICTED RESTRICTED MATHEMATICS (T) COURSEWORK STPM 2017 Assignment C: Mathematical Modelling It is reported that Malaysian youths spend many hours daily to access the social media such as Facebook and WhatsApp. This phenomenon leads to deterioration of social ties and values. In this assignment, you are required to conduct a study on the time spent daily by the students in your school to access the social media. 1 (a) Discuss the various sampling techniques that can be used to collect data. (b) Choose a suitable sampling technique to collect data on time spent daily (in minutes) for a random sample of n students. 2 Construct three confidence intervals for the mean time spent daily by students in your school to access the social media. Interpret your results. 3 Determine whether the average time spent daily by the students in your school to access the social media is at least three hours. 4 State any assumptions made in Task 2 and Task 3. Discuss the validity of your results. STPM 2017 - 954/4/P3 4 RESTRICTED

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