Mathematics Question Thread

[12070]

Honestly your teacher is right. You're supposed to always prove it (although a better word may be verify instead of prove).

Unless your tutor ignores it purely for saving some time, he/she is doing the maths incorrectly.

Yeah I think I'll just 'verify' it from now on but my tutor is pretty smart and probably has a logical reason why you can do it but I probably won't ask him because I'll get sucked back into his way and the cycle will continue.

[12070]

Follow up on my past paper question (Sorry for the plethora of questions). My teacher hasn't explicitly told us that this is the order of questions, but it seems as though they get progressively harder. Would you focus most of your study time on the latter questions assuming they will be extremely challenging?
           

[RuiAce]

Follow up on my past paper question (Sorry for the plethora of questions). My teacher hasn't explicitly told us that this is the order of questions, but it seems as though they get progressively harder. Would you focus most of your study time on the latter questions assuming they will be extremely challenging?
           

Not necessarily. Because if you don't put enough effort into the easy ones you make yourself VERY prone to either one of the following:
- Rushing it, so you make heaps of silly mistakes
- Overthinking it, because you lack practice with the standard difficulty questions.

If you want to put more effort into the later ones, that is fine. But you should be quite restrictive of how much time you put into it, because easy questions definitely matter.

        Topics covered:

1.   Rationalising denominators of surds
2.   Simple probability
3.   Derivative of function
4.   Minimum value of an expression
5.   Equations reducible to Quadratics
6.   Simpson’s Rule
7.   Area enclosed between 2 functions
8.   Geometric series: nth term and sum
9.   Increasing & decreasing functions
10.   Sign of first and second derivative
11.   Limiting sum
12.   Definite integrals
13.   Second derivative and concavity
14.   Finding primitives
15.   Arithmetic series: nth term and sum
16.   Tangent derivative
17.   Trapezoidal rule using function values
18.   Graphing functions
19.   Integrals as exact values
20.   Parabola vertex and focus
21.   Volume of revolution
22.   Find stationary points, determine nature,   
            sketch graph, state domain
23.   Problem question on sequences
24.   Maxima minima problem question

Hey again. Do you know any good sources of where I can get past papers for these sorts of questions.

Look just do past trial papers and single out the questions relating to those topics. Finding tests that have EXACTLY the same things you will be assessed on is extremely hard.

[12070]

Not necessarily. Because if you don't put enough effort into the easy ones you make yourself VERY prone to either one of the following:
- Rushing it, so you make heaps of silly mistakes
- Overthinking it, because you lack practice with the standard difficulty questions.

If you want to put more effort into the later ones, that is fine. But you should be quite restrictive of how much time you put into it, because easy questions definitely matter.
Look just do past trial papers and single out the questions relating to those topics. Finding tests that have EXACTLY the same things you will be assessed on is extremely hard.

True. Any tips on not making silly mistakes/overthinking. In prelim, I lost 12% in one test due to silly mistakes.

I have got the succes one HSC book with all the past HSC questions. Is that a good source? Any other recommendations?

[jamonwindeyer]

True. Any tips on not making silly mistakes/overthinking. In prelim, I lost 12% in one test due to silly mistakes.

I have got the succes one HSC book with all the past HSC questions. Is that a good source? Any other recommendations?

Here is a list of mistakes to watch out for! Being aware is half the battle - Besides that, lots of practice is really the best way to start ironing out those silly errors - Math is just muscle memory after all, and it takes ages to get to the point where you can kick 100 goals in soccer without missing one

        Topics covered:
...
Hey again. Do you know any good sources of where I can get past papers for these sorts of questions.

Those topics are Basic Arithmetic and Algebra, Probability, Quadratics, Geometrical Applications of Differentiation, Sequences and Series and Integration Perhaps go back and do the Chapter Reviews or cross reference with your Success One book?

[Kekemato_BAP]

Hi, I just want something cleared up.
Is dx/x the same as 1/x? Is the integral of dx/x the same as integral 1/x? Thanks

[jakesilove]

Hi, I just want something cleared up.
Is dx/x the same as 1/x? Is the integral of dx/x the same as integral 1/x? Thanks

Hey! If you're asking whether



Then yes, it absolutely does!

[RuiAce]

Hi, I just want something cleared up.
Is dx/x the same as 1/x? Is the integral of dx/x the same as integral 1/x? Thanks

Mathematicians call \(\int \frac{dx}{x} \)an 'abuse of notation'. But they still mean the same thing like Jake said.

[K9810]

Hey, can you help me with these questions?
Q16, 4, 11 b

Thank you!

[1937jk]

HELP
Anyone feel free to explain this one, I have done up to what I understand from it. I think it goes back to basic trig rules but I've totally forgotten and feel very lost at the moment and don't know what to do from here
Thanks!

[RuiAce]

HELP
Anyone feel free to explain this one, I have done up to what I understand from it. I think it goes back to basic trig rules but I've totally forgotten and feel very lost at the moment and don't know what to do from here
Thanks!

[1937jk]

Wow! what a fast reply!
Ohhhhhhh yess i undersatnd now! Thank you so much!

[jamonwindeyer]

Hey, can you help me with these questions?
Q16, 4, 11 b

Thank you!

Hey!

For Question 4, we just need to find the value of \(m\) by putting the line in gradient intercept form:



So, \(m=\frac{4}{3}\), and you put that into the equation to find the answer

For 16, we have 200 revolutions per minute, which is \(\frac{10}{3}\) revolutions per second. Each revolution moves any given point on the disc through an angle of \(2\pi\) radians. So, the angular velocity will be the number of radians it moves through per second, so:



Given a radius of 0.3 metres, and an angular change per unit time, we can use the arc length formula to find the answer to Part B:



As for 11B, it is very similar to 11A! You need to find the line inclined at an angle to the given line such that:



So, the new line will have a gradient that gives an angle of 18 degrees. So it is essentially 11A, with a different point and a different angle!

[marshmallow.on.fire]

A 3 mark questions about series (attached screenshot)

Thanks so much, atarnotes is incredible!

[RuiAce]

A 3 mark questions about series (attached screenshot)

Thanks so much, atarnotes is incredible!

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