2010 Maths Methods Exam 2

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I have been using this service for a week, all the videos are just amazing! they go through exam questions and go through a detailed breakdown of the questions. this service is absolutely worth it and is a quick way to understand complex ideas and techniques within the methods scope. I highly recommend it!

The explanation for the questions are great! It help me so much to understand the question get encouraged. I would definitely recommend other students to use this platform to gain more support in VCE Methods

The organisation of the site is beautiful with the filters provided. The explanations for the answers to the questions is so clear and concise that the hardest questions in the exams appear so simple. A great tool for those who want to extend themselves and push their level of understanding to a higher level.

Also, methods get scaled down awfully if you don't get like 94%+ (In WA anyways). One of my friends got 87% in the Methods exam, and she got scaled down by 13! I know application also gets scaled down badly if you don't get realllly high, but if you think you have a better chance at getting high 90s in applications than methods, I would say do apps.

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In Maths Methods 3 and 4 your SACs make up 34% of your contribution to your study score, with 17% from both units 3 and 4 respectively, preparing for your SACs and doing well in them can not only give you a strong contribution to your study score but it can also give you a boost come exam time. Here are the types of Maths methods exam questions you may encounter.

Preparing your reference book as you go allows you to include the necessary content while it is still fresh in your mind. It ensures you include all the content that you find necessary or difficult as opposed to hastily slapping it together at the last minute and hoping for the best. Creating your reference book is also a great revision tool as it gets you to critically think and reflect on the content and be selective about what you include - if you put time and effort into carefully curating your reference book you should know the content well enough in the reference book that you do not need to use it during an assessment (which can be a lifesaver with the time pressures of an exam).

In Maths Methods you can never do too many practice questions, you do not know what a SAC or an exam will hit you with so practising over and over means you will be prepared for whatever is thrown at you (and in Methods, they throw a lot of curveballs). The best way to make sure you have understood a concept is to do practice questions and then check your answers with solutions - ideally worked solutions as these give you an insight into what steps you need to include for full marks! Here are the types of Maths methods exam questions you may encounter.

And of course, it is good to do as many practice exams as possible to get a feel for what it will be like under exam conditions. Doing practice exams under exam conditions allows you to both get used to the time constraints and pressure of the exam as well as get familiar with the types of questions you will be asked. The more practice exams you do, the more you will be familiar and comfortable with the questions you are asked.

Then there is your reading time in the exam, make sure you read every single question and get a feel for what they are asking. Know which questions will take you a lot of time or are harder and plan your time accordingly. Smashing out the quicker and easier questions is a good way to guarantee some marks on the exam. There is no point staring at a question for the first 20 minutes of your exam when another question might be something you are comfortable answering, take a deep breath, stay calm and move on to a question you are confident with (you can always come back later).

Written by KIS Academics Private Tutor for VCE Maths Methods, Tanya Hammill. Tanya is currently pursuing a Bachelor of Science/Master of Teaching (Secondary) at Deakin University. You can view Tanya's profile here and request her as a VCE tutor.

Assessments will usually be a typical test-style SAC which focus on a certain area of study. Typically, the first and second areas of study are combined into a single SAC as a lot of the content will overlap (sometimes this may be divided into a two or three part SAC), whilst the other two areas of study are in two separate SACs. These SACs are often all tech-active, however, the use of technology depends on your teacher and class.

The maths methods exam will consist of two parts; a 40 mark tech-free exam, and a 80 mark tech-active exam. The reason for this is to test your ability to do maths by hand, but also with the assistance of technology. The tech-free exam (exam 1) does not permit notes in the exam, however, a formula sheet will be provided. There are around 8 to 11 short answer questions, each testing a different concept. These questions often increase in difficulty, with the last question typically being the most difficult (and is typically a functions, algebra or calculus-based question).

Typical short-answer questions will often require you to complete calculations, but in some cases, you may be asked to give reasoning for a solution or a concept. For example, in question 5 of the 2021 exam, you are required to perform various calculations with respect to the graph f(x) = sin(x/2)+cos(2x), where a graph of the function is provided. These different types of questions can be found within this question: firstly, questions 5a, b and c for example test simple concepts, and can be simply solved by examining the graph, performing a substitution (using a CAS or Mathematica) and using graph transformations. Next, question e is more complicated, and requires you to find the area under the graph of a similar function g(x) = sin(x/a) + cos(ax) which contains an unknown constant a. The aim of this is for you to recognise patterns within the first three questions in the function f(x), then apply this to a more general case g(x).

Question 5f will require you to give reasoning as to why the graph of g(x) cannot have a value of g which is greater than 2 or less than -2. Firstly, it would be helpful to see a general pattern for this when we change values of a. From the function itself, there are also some things that we can determine: first, the function g(x) is the addition of two functions sin(x/a) and cos(ax). We know that when we add functions, the values of the function when we substitute different values of x are added to give the resulting value g(x). For the graph of sin(x/a), the maximum y value is 1 and the minimum y value is -1 since the graph has an amplitude of 1. This is the same for cos(ax) which has a maximum y value of 1 and the minimum y value of -1. Note that the different periods of the functions do not affect their maximum and minimum values. Hence, if we added the maximum and minimum values of the functions sin(x/a) and cos(ax) respectively, we would get 2 and -2, which corresponds to the maximum and minimum values of g(x).

For those who are completing the CBE exam with Mathematica instead of CAS, you will be allowed to bring an additional digital bound reference if you would like. The digital bound reference must be a Mathematica nb file, and be contained on a USB, as you will not be using your own device, but rather a school device to complete your exam. Creating a digital bound reference is optional, however, many students find this helpful when recalling commands and functions. However, you may want to keep in mind that the larger you make your bound reference file, your calculation file for the exam may begin to lag.

As mentioned above, the methods exam does not contain much course content, but this actually makes a lot of the questions much harder since VCAA will expect a deeper understanding of the topics. Hence, make sure you completely familiarise yourself with the topics and ask for help if you are struggling to do so.

Also, when completing tech-free exam questions throughout the year as revision, attempt these questions with tech-free methods. Sometimes, it is very easy to think that you understand the question well and can quickly solve it with technology instead, however, this will slowly affect your ability to complete tech-free questions. Hence, even though the two exams are weighted differently, make sure that you are not only focusing on the tech-active side of the exam but also the tech-free exam.

Lastly, make sure that you are familiar with the commands and functions in your CAS or Mathematica. CAS and Mathematica contain many useful functions and commands aside from solely solving equations, graphing and doing probability calculations. Also, it is important to be familiar with these commands and functions as you will need to perform them quickly during the exam. As time is very limited and you will need to copy down certain calculations, spending too much time on your device can hinder your ability to complete the exam.

Check out our free revision library with thousands of active recall questions for chemistry, biology and maths. It also contains high-scoring exemplars for English, and a comprehensive UCAT guide. These resources were made and used by 99.85-99.95 ATAR scorers-turned-tutors during their time in Year 11 and Year 12!

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