ATAR Notes: Forum
Archived Discussion => 2010 => End-of-year exams => Exam Discussion => Victoria => Further Mathematics => Topic started by: _avO on November 01, 2010, 01:56:36 pm
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Solutions to Core, Graphs, Networks and Matrices below
Core
1D
2D
3B (Confirmed, it is B must use the bell curve rule and not Sx = range/4)
4A
5C
6C
7B
8B
9B
10A
11E
12D
13B
Graphs
1B
2C
3E
4E
5C
6D
7C
8A
9B
Networks
1A
2C
3B
4E
5C
6C
7B
8D
9B
Matrices
1C
2A
3E
4B
5D
6C
7D
8E
9B
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how did u get d for question 1&2
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Total percentage between 179 and 181 is 37%, 37% of 300 is 111 (110)
Subtract Q1 by Q3 (roughly 181.5 - 178.75) = ~2.75 = 2.7
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how did u get d for question 1&2
yeah uhm. if 179-181 is 50% as per the boxplot, then 50% of 300 = 150. hence E.
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No, it was 21%+16% = 37% o.0
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First i put D then i put E
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For Q3 mean is approximately at 180 (give or take 0.5 away). I thought since both ways goes out by 7, it should be an equal Sx of 2 for 3 deviations
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Also if it were 3 Sd, then 9 away would still have at least 1 oven passed this point? Anyone?
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CORE 8 IS D....
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No it's not if you look they chopped off 20 cm from the x.. LOL.
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No it's not if you look they chopped off 20 cm from the x.. LOL.
i got 8B too. punched everything on cas and came up as that B.
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my bad :p
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Haha me too Xavier, had so much spare time, but fuck that networks Q4 didn't read the question properly FML WHAT A NOOB.
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woudnt you say question 7 is C
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For core? I double checked chucked it into the calc and it came out as 0.778
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for question 5 CORE
the answer is D not C???
Z= mean-x/s
(24.2-23)/4.2 = 0.28 which is closest to 0.3 >D
i chose D ?? is it right?? :-\
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its x - mean / sx
:/
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what???
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woudnt you say question 7 is C
its pretty moderate to strong relationship. i doubt for weak.
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all the same besides
linear q9
networks q7
3 wrong for matrices= q6, q8, q9
trusting your answers though
hopefully 35/40
LOL
so i can still get 40 not bad i guess
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Btw I couldn't fit the words "Graphs and relations" into the box on the answer sheet, I just wrote graphs (same with Networks and decision maths) is that okay?
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For core? I double checked chucked it into the calc and it came out as 0.778
I got the same.
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Looking like 39/40 at the moment. :D
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Btw I couldn't fit the words "Graphs and relations" into the box on the answer sheet, I just wrote graphs (same with Networks and decision maths) is that okay?
yeah i doubt theyre that anal about it
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Q7 networks I got 11 but then I saw the 1 (edge next to sink) and then it came out as 10, the cut however looks weird (inverted quadratic? Lol)
Q6 matrices was a trick question, you had to do UxT not TxU
Q9 Just write it out (should be AAAA, BDCB, CBDC, DCBD hence answer B)
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Looking like 39/40 at the moment. :D
Me too, depressing because my brother got 39/40 and we both got different questions wrong (networks Q4 and Q7)
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Does the sheet require you to put student number or anything?
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No its printed on :) just had to check if it was the right number
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Does the sheet require you to put student number or anything?
It was already typed in at the top.
EDIT: Beaten
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Confirmation for the answer to Core Question 3 someone?
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Also if it were 3 Sd, then 9 away would still have at least 1 oven passed this point? Anyone?
Dunno but from my explanation I think its B? wheres the genius when you need him/her
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i got B by range/8
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I got the answer as B the first time I did it. I then did sd = range/4, and got 3 as the answer. Little iffy at the moment. Ended up putting C.
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i got B by range/8
My bound reference that I got of VCENotes said range/4!!!
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AHA i read the book Sx/4 is only ESTIMATED but its not always guaranteed?
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OMG I am paranoid i didnt check if the student number belonged to me! :( but it was probs the same right?
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Yea it's usually never different dw about it
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AHA i read the book Sx/4 is only ESTIMATED but its not always guaranteed?
now im fussed about matrices q6. why is it UT not TU again?
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nah im pretty sure, its range/4
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nah im pretty sure, its range/4
WHICH ONE!?! I'M STRESSING HERE! It's the only one I might have got wrong!
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lol not sure well what i did was max-min/8=2=B
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I dunno but I sat there for 10 minutes reading over what the question asked, the matrix TU represents the time taken for each person to service P, F and S, whereas the question asked for UT which represents the time taken to fix all 3 different office equipment in the schools A, B and C which is what we wanted
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lol not sure well what i did was max-min/8=2=B
Just checked on itute, and it seems that they got the answer as B as well. :(
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b for which one.
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3 core
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It may require some logical thinking, if the formula range/4 suggest the standard deviation is 3, that means 3 deviations away will still constitute of 0.15% ovens both sides and there are none in this question.. so.. o.0
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are we sure about question 3? because I put in B but now that I think about it, its C because of range/4
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have you got a link to itute answers?
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have you got a link to itute answers?
http://www.itute.com/board/viewtopic.php?f=4&t=1872
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http://www.itute.com/board/viewtopic.php?f=4&t=1872
Here, unfinished though
EDIT: Beaten :p
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which part of itute did u go on.
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Forum (http://www.itute.com/board/index.php) -> further maths
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so should we take it that core 3 is b?
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are we sure about question 3? because I put in B but now that I think about it, its C because of range/4
I'm the opposite. I put C, but I think it is B now.
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Hopefully someone can give us a definite reason to whichever one it is
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After reading the explanation on itute ima have to go with B aswell however it is quite ambiguous. They might take both?
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i hope they take both because i circled c.
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If it really is B then I get 37 :D
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same. if it is B i also get 37.
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i got 37, had no clue for question 3 (core), i put d or e. can anyone please explain how question 11 core was e?
i got c, i ust don't know how it was e
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What is Q3 core?
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i got 37, had no clue for question 3 (core), i put d or e. can anyone please explain how question 11 core was e?
i got c, i ust don't know how it was e
You plot 1/x against y and then get the regression line as 249
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is the most correct option.
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thankyou u just boosted my confidenvce. so now im loookin at 38 out of 40.
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is correct.
I wouldnt say its skewed but more approximately symmetric therefore answer is B
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Someone post up the question!!!
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thanks now my confidence got stuffed.
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i got 37, had no clue for question 3 (core), i put d or e. can anyone please explain how question 11 core was e?
i got c, i ust don't know how it was e
You plot 1/x against y and then get the regression line as 249
oh ok...i did a 1/y trasformation. why isn't that right?
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is correct.
I wouldnt say its skewed but more approximately symmetric therefore answer is B
Get a ruler out sir.
Then measure the distance from Q3 to Median , and Q1 to Median on the box plot.
It is evident it is slightly skewed.
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Add up the percentages. 64% is within one sd. 95% is within two sd and so on
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thanks NAved ur the man.
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is correct.
I wouldnt say its skewed but more approximately symmetric therefore answer is B
Get a ruler out sir.
Then measure the distance from Q3 to Median , and Q1 to Median on the box plot.
It is evident it is slightly skewed.
thats what I said? approximately symmetric = slightly skewed.
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thanks NAved ur the man.
Thanks, but your the Numero Uno 'superstar'
It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is correct.
I wouldnt say its skewed but more approximately symmetric therefore answer is B
Get a ruler out sir.
Then measure the distance from Q3 to Median , and Q1 to Median on the box plot.
It is evident it is slightly skewed.
thats what I said? approximately symmetric = slightly skewed.
Yeah, my mis-interpretation. Sorry mate :)
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???????
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Core
1D
2D
3B (Someone check this please)
4A
5C
6C
7B
8B
9B
10A
11E
12D
13B
Matrices
1C
2A
3E
4B
5D
6C
7D
8E
9B
these look right and my suggested solutions to
Geometry and Trigonometry
1C
2B
3C
4D
5A
6D
7C
8C
9B
BUSINESS RELATED MATHS
1E
2D
3E
4B
5C
6A
7D
8B
9D
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so wats the answer.
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Got suggested answers to other 2 modules Check it guys xD
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far out i cant believ i got q9 in trig wrong. made the exact same mistake in a SAC. lol
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I honestly think they will take two answers if WE are having trouble deciding and i emphasise we because its not like we go to the same school but we are all probably worlds apart.
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Question 8 CORE is C isnt it?
the fact that there it a break between the x and y axis will not affect the y intercept. the point is stationary and thus will not move regardless of the x-axis.
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Question 8 CORE is C isnt it?
the fact that there it a break between the x and y axis will not affect the y intercept. the point is stationary and thus will not move regardless of the x-axis.
Its not a point, if the line continues on it will eventually hit 141
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q8 core is B
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I honestly think they will take two answers if WE are having trouble deciding and i emphasise we because its not like we go to the same school but we are all probably worlds apart.
please take a photo of this q. i'd like to see it...
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I honestly think they will take two answers if WE are having trouble deciding and i emphasise we because its not like we go to the same school but we are all probably worlds apart.
please take a photo of this q. i'd like to see it...
question 1-3 in core were so deceptive in my opinion who agrees.
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is the most correct option.
Count 50% from the left hand side, and you get to (give or take 0.5) EXACTLY 180 so you can assume that that is the middle for the bell curve can you not? Even if you 'unskewed' it, it wont make much sense for Sx = 3, since 3 deviations away will completely leave the graph itself and therefore the remaining 0.15% both sides are missing? o.o
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Question 1 and 3.
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the standard deviation better be 2 or im going to die
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Add up the percentages. 64% is within one sd. 95% is within two sd and so on
that's why it must be 2.
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Hey guys is Q2 Module 3: Graphs and Relations C or E?
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Why isnt question 6 networks B? The 8 and 5 are backward flows, so they shouldnt be counted, right? therefore the total would be 18
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the standard deviation better be 2 or im going to die
Same here mate
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C, you are given 2 points (8,300) and (10,450), simply find the gradient by doing m(x-x1)=y-y1 and you get 75
For networks, the 8 is 0 however if you trace from the source to sink with 5 it can get there so therefore it still stands
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why is question 7 networks B not C?
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You can cut from the 1 instead of the 2 just looks weird
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4+2+3+1 =10
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Answer to Core Q3 is B.
Question specifically said to use the rule mentioned.
Say 99.7% of the data is between 174-186
This needs to comprise of 6 regions, 3 each side of the mean.
(186-174)/6
=2
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Here's what you can rearrange it to look like and its more logical to make that 10 cut
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Answer to Core Q3 is B.
Question specifically said to use the rule mentioned.
Say 99.7% of the data is between 174-186
This needs to comprise of 6 regions, 3 each side of the mean.
(186-174)/6
=2
legend :D
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is correct.
I wouldnt say its skewed but more approximately symmetric therefore answer is B
I agree. You needed it treat it as symmetrical...
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C, you are given 2 points (8,300) and (10,450), simply find the gradient by doing m(x-x1)=y-y1 and you get 75
For networks, the 8 is 0 however if you trace from the source to sink with 5 it can get there so therefore it still stands
OK sounds correct but my theory is this :
u read the x axis from 2 am as 1 so 8 am becomes 4 and 10pm becomes 5 so its (4, 300) and (5,450) with the gradient being 150?
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No, it asks for per HOUR, however the scale is 2 hours so therefore if you were to do that you must go up by 2's hence getting (4,300) (6,450) and still m=75
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ah your right :)
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is core 8 D? for sure
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isnt question 6 graphs E?
the feasible region in the upper triangle
so the point 3,4 satisfies that...
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After you transpose the equations, you have to switch the inequality (as it is previously -y) :)
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is core 8 D? for sure
B
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is core 8 D? for sure
B on that. really absolutely 10000% sure
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It is C.
I'll explain why.
#1. 180 degrees is the 'median'.
#2. Looking at the box plot, it is evident that it is skewed. Positively skewed.
#3. The 68-95-99.7% rule, is a measure from the 'mean'!
#4. We are unsure, but can guess the mean. (You could calculate, but it would take time).
#5. Hence, as you are not sure of the Mean, because it is skewed the median does not equal
the mean.
#6. Therefore you use s= range/4 to obtain the standard deviation.
Viola: Option C is correct.
I wouldnt say its skewed but more approximately symmetric therefore answer is B
I agree. You needed it treat it as symmetrical...
the question specifically asks for the use the 68-97-99 rule
if it didnt, i would agree with u
but i think its b
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isn't quest 11 of the core C?
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It would be C, if 1/x wasnt an option (as it has the most correlation and is positive)
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Nvm its still negative gradient I think.. not sure can't remember
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Ummm Wtf 0.0 question 3 of matrices is not E it is B
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and question 6 of matrices is B because you just times them together
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Ummm Wtf 0.0 question 3 of matrices is not E it is B
Nah its E, you needed to inverse it
Q6 was a trick question, it's C - Try working it out manually (calculate the time it takes Vince Rani or Nav to complete School A's jobs and it's the only matrix with matching values)
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Ummm Wtf 0.0 question 3 of matrices is not E it is B
Q3 was a good one, it was basically testing your knowledge of how an inverse matrix would look like, which one would otherwise just chuck into the calc as A^-1C=X
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what was the change in graphs for the volume one?
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75 L/hr
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How is matrices question 9 'B'?!
Shouldn't it be 'E'?!
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It asks which is true, and it's not possible to get exactly 3 answers that are the same. If you wrote out all 4 possible choices for the first question, (A,B,C,D) you can deduce that it is in fact B
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wat is the answer to q4 number pattersn cos we i do the formula i get B as the answer but manually it says D
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wat is the answer to q4 number pattersn cos we i do the formula i get B as the answer but manually it says D
Answer is B. Even if you do it manually, the answer will still be B. I just tried it then.
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how did u get E for question 11 on core?
isnt it negativ trend?
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1/x drags all the x values to the otherside causing a positive gradient
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Just remember, to linearise you always want a positive gradient in the end
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wat is the answer to q4 number pattersn cos we i do the formula i get B as the answer but manually it says D
Answer is B. Even if you do it manually, the answer will still be B. I just tried it then.
oh yea ur right thanks for that i dont have to stress cos i wrote B in the exam