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madame_lexie

MAY13
Maths SL Paper 2 TZ2

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How did you guys find paper 2? I think it was harder than the previous years, but the questions were manageable. However, since they were much harder than usual, they took twice the time I usually need to work them out. So I ended up leaving 2 questions out in section A - the sequences question and probability. The trigonometry question was nasty - took me 20 minutes to finally work it out - hopefully I got the right value of r (approx 6cm?)

The vectors question in section B was a gift, even Q10 was fairly easy except for the last sub-question. Then since I suck at probability, Q9 was my pitfall. Probably lost most of those 15 marks :(

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Because I lost about 20 points in the first paper (too tired after history p3) I was extremely motivated during p2 and hope to get over 95% from this one. The only mistake I made was in the last question hopefully (I got m=0.703 while the correct result is m=0.706 I guess).

But in general I really liked the paper!

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does anyone remember what was the task in the last question... were we supposed to sketch the graph of both functions at once or just f(x)?

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does anyone remember what was the task in the last question... were we supposed to sketch the graph of both functions at once or just f(x)?

I'm pretty sure it was both.

This paper was weird... the more I think about both p1 and p2 the more I'm afraid I made lots of stupid mistakes... But I still hope for a 6, I don't think it was that bad after all.

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I found section b was so time consuming I just put a random number for the last part of question 10 so lost those 8 marks but I answered everything else.

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I found section b was so time consuming I just put a random number for the last part of question 10 so lost those 8 marks but I answered everything else.

haha yeah I did the same! ;d Hope everything else will be ok though.

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LOL, ok. I just hope to get some 40%, and then I expect 6/7 for P1 and got quite firm 5 for IA so I just hope for 5 in general...

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does anyone remember what was the task in the last question... were we supposed to sketch the graph of both functions at once or just f(x)?

I'm pretty sure it was both.

This paper was weird... the more I think about both p1 and p2 the more I'm afraid I made lots of stupid mistakes... But I still hope for a 6, I don't think it was that bad after all.

Yes, I am also sure they asked for both and most probably there will be some points for drawing the point of intersection of the functions.

Did you use graph paper for your sketch? I did and I am not sure whether it was required or not...

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mmmm I used it, i don't think it would be easy to draw an exponential function in the answer booklet...

and after this paper i am sure TI nspire cx is the best friends i've ever had :)

i think one of the points was for the point of intersection, the other for y-intersepts and the last for the domain :)

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does anyone remember what was the task in the last question... were we supposed to sketch the graph of both functions at once or just f(x)?

I'm pretty sure it was both.

This paper was weird... the more I think about both p1 and p2 the more I'm afraid I made lots of stupid mistakes... But I still hope for a 6, I don't think it was that bad after all.

Yes, I am also sure they asked for both and most probably there will be some points for drawing the point of intersection of the functions.

Did you use graph paper for your sketch? I did and I am not sure whether it was required or not...

yeah, it was section B so you couldn't draw it in the questionbooklet and in the answer booklet it wouldn't be precise at all, so the only sensible thing to do was to use a graph paper. But I agree they could've mentioned it because when you're nervous you can focus too much on stupid details and make a stupid mistake ;d I thought it through on a mock exam though so didn't have to worry now ;d

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Poles, Poles everywhere :>>>

Just in case anyone else was looking for answers:
a) ratio from the geometric sequence question: r=0.95
b) common term from the binomial expansion question: a=4
c) m giving the greates area: m=0.707

Edited by Pepe

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so I screwed up with the sequences somewhere ;< but at least I got the 'a' right XD

haha smiesznie

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a no racja :)

most people in my class got 0.707 (0.706667 to 3sf)

Racja, my bad ;)

I changed it in the original post.

Everyone says that boundaries will be lower (below 84% for 7), hope so.

Edited by Pepe

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it would be great, 82% is enough i guess

but it depends on how they treat the last question... i personally didnt have time so i just calculated m such as the curves intersect at (3, 2.12) and gave a short explanation referring to the graph. the result i obtained was correct but the method quite weird

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Does anyone remember what the geometric sequence question was, like the exact numbers they gave us?

I remember I had 0.9xx (is 0.95 the exact value or correct to two decimal places?)

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hey guys !

does any one remember the answers for the probability question ?

Thanks :D

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Does anyone remember what the geometric sequence question was, like the exact numbers they gave us?

I remember I had 0.9xx (is 0.95 the exact value or correct to two decimal places?)

Your result is correct, it was 0.95. I was really surprised when 'solver' gave me an exact value! :) But I also checked it by drawing the graph so Im 100 % sure.

Edited by Pepe

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For the last question, did we have to get the answer by using tangent to the line...? i thought we had to use tangent since the question asked for maximum area.... Also, does any remeber what they got for E(x) for the probability distribution question??

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Thanks :D

Does anyone remember what the geometric sequence question was, like the exact numbers they gave us?

I remember I had 0.9xx (is 0.95 the exact value or correct to two decimal places?)

Your result is correct, it was 0.95. It was really surprised when 'solver' gave an exact value! :) But I also checked it by drawing the graph so Im 100 % sure.

Hmm.. It was quite strange because I created two equations and plotted them using the graph function on my calculator, and then found the intersection point. It was 0.9 sth but it wasn't an exact value.

Edited by Kevin Neutrino Lam

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Poles, Poles everywhere :>>>

Just in case anyone else was looking for answers:

a) ratio from the geometric sequence question: r=0.95

b) common term from the binomial expansion question: a=4

c) m giving the greates area: m=0.707

How did you workout the maximum area for the last part of the last question? I tried to find the derivatives when f(x) and g(x) were equal to each other but I guess that was wrong.

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Poles, Poles everywhere :>>>

Just in case anyone else was looking for answers:

a) ratio from the geometric sequence question: r=0.95

b) common term from the binomial expansion question: a=4

c) m giving the greates area: m=0.707

How did you workout the maximum area for the last part of the last question? I tried to find the derivatives when f(x) and g(x) were equal to each other but I guess that was wrong.

It was a tricky question, because (as far as I know) you didnt have to use the optimalisation or derivatives.

At first, looking at my sketch, I realised that the area is the greatest when functions intersect in x=3. Thus I found the y coordinate of the point of the exponential function when x=3. I dont remember the value but it was something like 2.12.

Then I simply used these coordinates to count m from the second function:

2.12=m*3

m=0.707 (to 3 s.f.)

And thats all! Most probably additional points will be awarded if you recognised that m has to be greater of equal 0.707, because otherwise functions would not intersect in the given domain.

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Poles, Poles everywhere :>>>

Just in case anyone else was looking for answers:

a) ratio from the geometric sequence question: r=0.95

b) common term from the binomial expansion question: a=4

c) m giving the greates area: m=0.707

How did you workout the maximum area for the last part of the last question? I tried to find the derivatives when f(x) and g(x) were equal to each other but I guess that was wrong.

It was a tricky question, because (as far as I know) you didnt have to use the optimalisation or derivatives.

At first, looking at my sketch, I realised that the area is the greatest when functions intersect in x=3. Thus I found the y coordinate of the point of the exponential function when x=3. I dont remember the value but it was something like 2.12.

Then I simply used these coordinates to count m from the second function:

2.12=m*3

m=0.707 (to 3 s.f.)

And thats all! Most probably additional points will be awarded if you recognised that m has to be greater of equal 0.707, because otherwise functions would not intersect in the given domain.

how many points will be awarded for such solution? i also solved it using the graph simply (two sentences of explanation), as the curves must intersect at (3, 2.12) to obtain maximum area. still, my teacher says it's not enough as they want us to use differentiation to get 8 points...

i hope we'll get 5 out of 8

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Poles, Poles everywhere :>>>

Just in case anyone else was looking for answers:

a) ratio from the geometric sequence question: r=0.95

b) common term from the binomial expansion question: a=4

c) m giving the greates area: m=0.707

How did you workout the maximum area for the last part of the last question? I tried to find the derivatives when f(x) and g(x) were equal to each other but I guess that was wrong.

It was a tricky question, because (as far as I know) you didnt have to use the optimalisation or derivatives.

At first, looking at my sketch, I realised that the area is the greatest when functions intersect in x=3. Thus I found the y coordinate of the point of the exponential function when x=3. I dont remember the value but it was something like 2.12.

Then I simply used these coordinates to count m from the second function:

2.12=m*3

m=0.707 (to 3 s.f.)

And thats all! Most probably additional points will be awarded if you recognised that m has to be greater of equal 0.707, because otherwise functions would not intersect in the given domain.

how many points will be awarded for such solution? i also solved it using the graph simply (two sentences of explanation), as the curves must intersect at (3, 2.12) to obtain maximum area. still, my teacher says it's not enough as they want us to use differentiation to get 8 points...

i hope we'll get 5 out of 8

But I cant see how the differentiation can be used here.

And this simple solution must be a good solution so they cant cut any points...

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