2017 Methods Exam 1 [Solutions]

[Sine]

same here just wanted to check if i would get marks for attempting though

9c,
I worked out M=-1 but was not able to work out C. Is this one mark?
9d,
If i simply wrote let Tangent of AC = Tangent of CB (without working out the tangents) do you guys think thats worth any marks. I also was able to conclude that the tangent of AC occurred at 1/9 and the gradient of the tangent was 1. But did not go further due to the confusion with the graph and domain of the gradient (0,1).

Also thank you so much for your help guys.

m=-1 should get you a mark imo

hmm depends how they mark for your 2nd question if heaps don't do well you could get a mark but I wouldn't count on it

Do any of yous reckon it is possible to get over a 40 is methods with a combined score across both exams of 100/120? Or even with low 30's exam 1 and high 60s-low 70s exam 2?

yeah it's possible but you'd want exam 2 to be hard

For question 7B i), wouldn't the answer be -1 as it's asking for the "largest possible value", and -1>-3?

it is true that -1 is a larger number than -3 but the domain given was from - infinity to c.
and we can't go below 0 to a negative number since the range of g must be in the domain of f (which is all positive numbers including 0)

Range is [0, infinity) not [1,infinity)

which question
for the first [1,inifnity) the domain is restricted of f (good trick by vcaa imo)
for the 2nd the min output of g(x) is 0 so the min of f(g(x) = sqrt(0+1) = 1

[messi10]

for the last question I successfully found the equation of line CB. However in the last part in which we had to find equation of line CA i accidentally subbed the x=1/9 into the gradient rule. And no, due to the confusion of how x=1 is an answer, I did not notice anything fishy till I got home. I then equated both euations of lines to find the x value, I then subbed the x-value into one of the equations and got diffrerent coordinates for C (than the actual ones) due to the wrong equation for CA.
Just wanted to ask would I be deprived of the total 4 marks or would would the accessors award me consequential error marks.
Also what exam 2 mark do I need if I have around 32/40 on exam 1 and want a 35+
Thanks 

[Rieko Ioane]

jeez that's rough, an A+ cut off around 36-37. What exam score in exam 2 do i need for a 40+? I think i got 33-34/40 for exam 1.

I'm in the same boat. We'll smash exm 2 tomorrow together bro.

[Willba99]

For question 7B i), wouldn't the answer be -1 as it's asking for the "largest possible value", and -1>-3?

no, because if a was -3 then the range of that function wouldn't be a subset of the domain of the other function

[plsbegentle]

I'm in the same boat. We'll smash exm 2 tomorrow together bro.

Hopefully My mentality is pretty bad right now, coming into today i was expecting high 30s. So many silly mistakes everywhere and can't believe i didn't get the trig question...oh well you cant do anything about it now, just need to smash that exam 2.

[samsung4545]

For question 5- if you got part a) wrong and carried through using the same error ((4/5) instead of (3/5) for not logging in), would you get a consequential mark for part b 1-incorrect answer and part c? Right now, I am looking at 33-35/40. What mark would I need in exam 2 to get a study score 43+?

[LifeisaConstantStruggle]

For question 5- if you got part a) wrong and carried through using the same error ((4/5) instead of (3/5) for not logging in), would you get a consequential mark for part b 1-incorrect answer and part c? Right now, I am looking at 33-35/40. What mark would I need in exam 2 to get a study score 43+?

Well...at least a 77(?) if the exam is hard then maybe 75+

[samsung4545]

Well...at least a 77(?) if the exam is hard then maybe 75+

Well I am doomed . If it was 39/40, I would have had a better chance., but for some reason it was worse than my practice exams :/

[LifeisaConstantStruggle]

Well I am doomed . If it was 39/40, I would have had a better chance., but for some reason it was worse than my practice exams :/

Haha hey, we're on the same boat here man, and it's still not over just remember to relax tonight, and maybe study for a bit. I'm sure you've studied enough right?

[Cyka]

I'm the same, kept telling myself that it can't be 1 for the last question, ended up making up a random number to use as the y-int of BC and am hoping for consequential for the last part and lost 3 marks coz of silly mistakes prior to that.Sitting somewhere between 32-35, so rip 40 =(. I actually want to die, put in so much effort for nothing.

[Ahmad_A_1999]

I'm the same, kept telling myself that it can't be 1 for the last question, ended up making up a random number to use as the y-int of BC and am hoping for consequential for the last part and lost 3 marks coz of silly mistakes prior to that.Sitting somewhere between 32-35, so rip 40 =(. I actually want to die, put in so much effort for nothing.

Same here, I don't even know why I bother with life, I got the last question right, arguably the most difficult, and then I proceeded to lose so many marks on all the other questions    

[samsung4545]

Haha hey, we're on the same boat here man, and it's still not over just remember to relax tonight, and maybe study for a bit. I'm sure you've studied enough right?

Done around 6 paper 1 and 6 paper 2 exams. It is really frustrating when the errors made are simple mistakes like 16n = 30000, therefore n must be 16+ 2/3 so n= 17 etc. I guess that's one thing that is significantly less likely to happen when Exam 2 is reliant on  the Ti-nspire or  Classpad. The rest is down to the last question where only 2% of the population get the correct answer.

[Rieko Ioane]

Anyone reckon the hardest question on the exam was recognising that the diagram on the last question was for a general theta and not 45 degrees?

Literally was on track to finish 30mins early but then this bs happened. Couldn't even check my work properly afterwards and full on monkeyed out at least 5 marks for it.

FeelsBadMan.

@samsung, at least you didn't evaluate sqroot(3/16n) as sqrt(3)/4n
:^) I then solved for n and had a sqrt3 which I approximated as 1.7 and simplified from this. I got 43 LMAO.

[Jiggleling]

Just a query, the last question since (1,0) was an endpoint and hence gradient would be undefined how can you find a tangent. Even if it was defined it clearly was not (1,0) as point B did not intersect with the functions x-intercept. Also if it did, then BC wouldn't be a tangent as it would have intersected the function once at B and again shown on the graph? How can this be explained?

[blehblop]

Just a query, the last question since (1,0) was an endpoint and hence gradient would be undefined how can you find a tangent. Even if it was defined it clearly was not (1,0) as point B did not intersect with the functions x-intercept. Also if it did, then BC wouldn't be a tangent as it would have intersected the function once at B and again shown on the graph? How can this be explained?

Is it possible for the question to be scratched because i just find that the answer contradicts the two pieces of information (the domain and the graph) provided by VCAA?