VCE General & Further Maths Question Thread!

[snowisawesome]

Does anyone know how to make a good further maths summary book, and what should be in it, and would the same thing apply to math methods?

[Calebark]

Does anyone know how to make a good further maths summary book, and what should be in it, and would the same thing apply to math methods?

We have an article on that which may help you.

[011116]

how does one study for further like for that specific chapter, for example i finished a chapter and like did all the review questions and questions in the book but i want to test myself and my knowledge on the topic

[AngelWings]

how does one study for further like for that specific chapter, for example i finished a chapter and like did all the review questions and questions in the book but i want to test myself and my knowledge on the topic

Generally the best way to do so is Checkpoints, books like ExamPro and practise exams. The chapters will be based loosely around the various modules in Further.

[Lear]

I just wanted to get some opinions on how early practice exams should be started. I have almost finished the chapter questions for core and my modules but plan to finish chapter reviews and then A+ questions before starting exams.
Would it be too early to start exams in ~April?

[Vaike]

Would it be too early to start exams in ~April?

To be honest, I think its way too early. You'll quickly run out of practice exams I'd think. The earliest I'd probably think about it is the beginning of August. It's really important that you don't burn out, as its important you're in the best spot possible come exam time, and that you're not simply sick of Further exams. Instead, I'd suggest practice SACs, other textbooks questions, revising over/constructing a bound reference, or just spending more time on your other subjects!

[Lear]

Fair enough. Thanks for the advice!

[snowisawesome]

A few questions
1.How would you determine the location of the upper fence and the lower fence when you're shown a boxplot with outliers
2.If you're shown a boxplot with outliers and you're asked to estimate the percentage of values that are less than a certain number, do you include the outliers when determining the percentage?
3. the distribution of heights of 19-year old woman is approximately normal, with a mean of 170cm and a standard deviation of 5cm
What percentage of these women have heights: between 160 and 175 cm
like 160 is 2 standard deviations below the mean, and 175 is 1 standard deviation above the mean, so how would you work it out in this case since there are different standard deviations (2 and 1)
4. if you're given two variables, number in theatre and time (minutes), and given values for both variables and asked to draw a scatterplot, how do you determine the response and explanatory variables if they aren't given to you?

5. what's the difference between a positive and a negative association and how do you determine if 2 variables have a positive or negative association
for example
1. population density and distance from city centre
2. time using social media and time spent studying
Thanks

[addictwithatextbook]

A few questions
1.How would you determine the location of the upper fence and the lower fence when you're shown a boxplot with outliers.
2.If you're shown a boxplot with outliers and you're asked to estimate the percentage of values that are less than a certain number, do you include the outliers when determining the percentage?
3. the distribution of heights of 19-year old woman is approximately normal, with a mean of 170cm and a standard deviation of 5cm
What percentage of these women have heights: between 160 and 175 cm
like 160 is 2 standard deviations below the mean, and 175 is 1 standard deviation above the mean, so how would you work it out in this case since there are different standard deviations (2 and 1)
4. if you're given two variables, number in theatre and time (minutes), and given values for both variables and asked to draw a scatterplot, how do you determine the response and explanatory variables if they aren't given to you?

Thanks

Hey!
1. You would find them as normal - the ends of the box.

2. Yes.
When interpreting a box plot, outliers only affect your interpretation of the maximum and the minimum - if there is an outlier on any end, it is a maximum or a minimum, and not the ends of the whisker. All other interpretations - such as finding the IQR, median, upper fence, lower fence, and percentage of values from a data value that meets with a line on the box - are done as with no outliers. Rarely, or never, will they ask the percentage or number of values that are not outliers.

3. Use the normal distribution and 68-95-99.7% diagram (you should have one of these) - as you have identified with the number of s.d's below and above the mean, it will be 13.5% + 34% + 34%, or 64% + 13.5%.

4. Think of the variables - which one depends on what? Does time depend on the number of people in the theatre, or does the number of people in the theatre depend on the time? Which one makes sense? The response variable is the one that is dependent on/is affected by the explanatory variable. In this example, the time that goes on affects the number of people in the theatre. (As a side note, time will always be an explanatory variable, as time is time. It cannot be clearly affected by anything else).

5. A positive association occurs when the values of the response variable tends to increase as the explanatory variable increases (positive r value, regression line goes upwards), whereas a negative association occurs when the values of the response variable tends to decrease as the explanatory variable increase (negative r value, regression line goes downwards). The example requires more thinking than determining which variable is the response or explanatory. Think of real life.
For (1), does population density (RV) increase when distance from city centre (EV) increases, i.e. more towards the country? It doesn't, population density decreases, so there is a negative association between these variables. For (2), is it true that time studying is less when time using social media increases? (The RV and EV between these two can be interchangeable.)

I hope this was clear to you.

[behlanarobinson]

I just wanted to get some opinions on how early practice exams should be started. I have almost finished the chapter questions for core and my modules but plan to finish chapter reviews and then A+ questions before starting exams.
Would it be too early to start exams in ~April?

I did the questions our teacher gave us from old exams to prepare for Sacs however I didn't actually start doing practice exams until we finished all the content (mid term 3). I still managed to get through all the practice exams I could get my hands on (37 to be exact) and if I had've started earlier I would have had less to focus on prior to the exam and I would have forgotten what I learnt from doing the exam.

[snowisawesome]

Not exactly related to further but for my summary book for further maths  i just glued all the worked examples from my textbook into a notebook and now my notebook won't really close properly. Is there any way to fix this?

[Lear]

Could you attach a picture of what you mean. I can't quote visualise it

[snowisawesome]

Could you attach a picture of what you mean. I can't quote visualise it

My book closes but not fully, as in the pages don't really touch each other when closing

[Poet]

Hey all,

I'm sort of confused about how to use logs and their functions in the CAS Classpad II. Can anyone help me with this, maybe give me an example question/tutorial to work through?
Also are they related to least squares regression? My class is going too fast for me and everything has been blurring together...

Thank you! x3

[AngelWings]

My book closes but not fully, as in the pages don't really touch each other when closing

Pretty sure that's fine, as long as the book is A4 or smaller in total.

Hey all,

I'm sort of confused about how to use logs and their functions in the CAS Classpad II. Can anyone help me with this, maybe give me an example question/tutorial to work through?
Also are they related to least squares regression? My class is going too fast for me and everything has been blurring together...

Thank you! x3

Logs are found on the second line after clicking the keyboard button, according to the first 5 seconds of this video. Ln is log with base e. Log by default is log to the base 10, but can be altered to have any base as necessary. Logs are used to (a) counteract exponential (kind of the same way division is the opposite of multiply) (b) used to find unknowns when they're the power e.g. 10^x=100 can be undone by doing log₁₀(100)=x. Further information can be found on here.

And least squares? If it's a log transformation, then yes. Otherwise, not really.

Hope that helps.