Junior Cert 2012: Mathematics (HL) Paper Two

Music4Life085

Mathematics (HL) Paper Two
Monday, June 11th
9.30 - 12.00

All discussion and questions about Mathematics (HL) Paper Two goes here.

Good Luck!

Music4Life085

*Usually Bazinga_N post these but since theres none I decided to make one

I wanted to ask what theorems are you's studying?

ilovesmiles

Ive been told by my teacher and my maths grind teacher that they think pythagerus theorem is likely to come up (sorry spelt that wrong)

Sophieee

Music4Life085 wrote: »

*Usually Bazinga_N post these but since theres none I decided to make one

I wanted to ask what theorems are you's studying?

I would say that 8,9 and 10 are most likely. It is best to be familiar with them all though, as they are trying to be unpredictable this year

ilovesmiles

Sophieee wrote: »

I would say that 8,9 and 10 are most likely. It is best to be familiar with them all though, as they are trying to be unpredictable this year

what are 8 , 9 and 10 ? we just go by the names

Sophieee

ilovesmiles wrote: »

what are 8 , 9 and 10 ? we just go by the names

the one with the perpendicular bisector and the chord, the one with equiangular triangles and the proving of pythagoras' theorem

DominicKid

Ja knoe how der r da deductions ry do we boder studyin dem or wa lyk?
I dunnah cus im sure one of da 3 will cum up 8 9 ar 10.
Wy d f^*k arn't people saying da other ones are cumin up like 1,2,3,4 and 6 are mite b cumin up?

Cheerios

DominicKid wrote: »

Ja knoe how der r da deductions ry do we boder studyin dem or wa lyk?
I dunnah cus im sure one of da 3 will cum up 8 9 ar 10.
Wy d f^*k arn't people saying da other ones are cumin up like 1,2,3,4 and 6 are mite b cumin up?

I have no idea what you just said.

Anyyyways, I know most of my theorems but I'll be going over theorems 7, 8 and 9 again tonight.

ButtonBox

Dreading this paper as much as I did paper one.
Maths is seriously not my friend.

I'm grand with co-ordinate, but christ, when it comes to geometry..
Statistics are usually grand!
Trigonometry for me depends on the day.. XD
Area and Volume is grand, I guess..

Good luck everyone!

juniorcert2012

The theorems I'm studying are Pythagrussses' or whatever, the one to prove that the exterior angle of a triangle is equal to the two opposite ones and the chord one, they seem to come up a lot more often

Vivara

If anyone has any trouble with Pythagoras's theorem — I found it difficult — I did this up when I was doing my Junior Cert. two years ago for everyone on boards.



Hope it helps!

Slow Show

DominicKid wrote: »

Ja knoe how der r da deductions ry do we boder studyin dem or wa lyk?
I dunnah cus im sure one of da 3 will cum up 8 9 ar 10.
Wy d f^*k arn't people saying da other ones are cumin up like 1,2,3,4 and 6 are mite b cumin up?

Why? Like really, why?????
(You won't be asked to prove deductions, if they come up it'll be as part of a question, know them but no need to learn off.)

Anyway lads, easier (imo) version of Pythagoras theorem posted last year:

Colm! wrote: »

LauraIrl

wow im so going to go down a grade in this paper tomorrow :L

graeme157

That was hard. Couldnt do questions 2,3,4 or 5! Did half of question 1 but got full marks in question 6 i'd say. Left with an hour to go, that says it all. Not a hope in hell I'll pass now. OL for the leaving anyway.

nickys

graeme157 wrote: »

That was hard. Couldnt do questions 2,3,4 or 5! Did half of question 1 but got full marks in question 6 i'd say. Left with an hour to go, that says it all. Not a hope in hell I'll pass now. OL for the leaving anyway.

My daughter said it was a mixed bag for her some ok some impossible

The One Who Knocks

nickys wrote: »

My daughter said it was a mixed bag for her some ok some impossible

Project Maths was okay,... definitely harder than the mocks,
Everyone in my class either got an A/B in the mocks, so we were expecting an easy paper,

There was a lot less trigonometry & statistics than I would have liked, and there was some impossible co-ordinate geometry :eek:

Overall, went okay, probably get a B
(although in fairness, I was expecting a C in the mocks, and got an A...so I really can't tell,haha :rolleyes:)

Now to cram for cspe.....so who's the president?

yoyojc

I thought maths paper 2 was incredibly difficult compared to previous years.. anyone else agree?

OldManJenkin

How did people do Q 1 C (ii)? The one where you have to find out how much of the cylinder was filled with the rain water, I assumed you would have found the volume of the Cylinder and divide in the amount of rain that fell on the roof, but there was no height of the cylinder so I couldn't do that?

paddzdaman

I found Q6,5,3,4 (except last part on 4c ii). Q1 and 2 got most of the answers just a bit weary of the part C for them. Just wondering did what did people get for Q1 c iii and Q2 c iii? I got 52 times (which suprised me!) and a (-5,14.5 or something like that). Till June all we can do is play the waiting game

yoyojc

OldManJenkin wrote: »

How did people do Q 1 C (ii)? The one where you have to find out how much of the cylinder was filled with the rain water, I assumed you would have found the volume of the Cylinder and divide in the amount of rain that fell on the roof, but there was no height of the cylinder so I couldn't do that?

You're exactly right? I haven't got a clue , i was looking for a height! No height whatsoever? ...

I think I did excellent in q.3,6
Then in 1 attempt part (C) same with coordinate geometry.

Could anybody verify that (5,-5) was on the line :I

iWin1010

Wasn't too bad! Pretty sure I didn't get any of Q2 right :(:(
I was a little bit disappointed with the Theorem on Q4 but I attempted it so I think I gave it a good shot.
Q5 was soooooo easy! Got it done in less than 10 mins and I think I got all of 6 right.

Anyway THANK GOD it's over!!! :D:D:):):)

Indiego

What theorems came up lads?

OldManJenkin

Indiego wrote: »

What theorems came up lads?

The one about equiangular triangles having their sides in proportion, and that opposite sides and angles of a parallelogram are equal.

Cheerios

I thought it was easier than Paper 1, but it still went terrible all the same. Ah well, I'm not really bogged down about it. I'm quite bad at maths and I already knew what I would (probably) get. Either way, I'll be doing Ordinary Level for LC.

yoyojc

Indiego wrote: »

What theorems came up lads?

Equiangular and paralleogram!


See people are saying "it was actually easy but i didnt get any of a certain question". In my eyes that's not easy. It's easy when you get everything close to perfect. Not when you don't get a question! People clearly have a different interpretation of the word 'easy'. The paper was definitely not easy it was definitely more challenging in my eyes.

yoyojc

Cheerios wrote: »

I thought it was easier than Paper 1, but it still went terrible all the same. Ah well, I'm not really bogged down about it. I'm quite bad at maths and I already knew what I would (probably) get. Either way, I'll be doing Ordinary Level for LC.

I think paper one was 20 times easier!!

DaleHyland

I have all my answers once again, they are in no way to be taken as gospel/correct/the answers of a clever clogs.. etc... blah,blah,blah.

1(a) 60 cm.
B(i) 147.26cm^3 (I didn't know what they meant by cylindrical, I said Cylinder-hemisphere)
(ii) 170.82 cm^3
c(i) 10m^3 (Again, poorly worded , you could have got away with 5mm )
(ii) 0.26m
(ii)4

2(a)Graph
(ii) 10 units
b(i) (-8,0)
(ii) |PQ|=|PR|
|QR|does not equal |PQ|or |PR|
Therefore PQR is isoscles.
c(i)
3x+4y -5 =0
(ii) It is boss
(iii)3,5
Question 3
a(i)67
(ii) 67
b(i) Theorem
b (ii) That, only with 3.
(c)(i) |AB|=|AD|,|AE|=|AE|,right angles mean congruent RHS Congruent
(c)(ii) As ABE and ADE are congruent, BE = ED
4(a) 68
(b) Theroem
c(i) Right angle , common,remaining pair
(ii) Haven't a clue Got 8 sqrt 3.
Question 5
(a)31.1
(b)(i)sqrt 35
(ii)29
c(i)40
(ii)32
Question 6.

(a)8,6,3,2,5
(b)19
(ii)83.333333333333%
(c)
1,4,12,23,26,28
(ii)11
(11-10=1 car

TheZestyLemon

I found paper two easier. Many of my friends felt the same way about it, although many of us were unable to answer question 5 parts a and c.

me.gusta

I actually got out 1c I think i said 10 times(it was 9.1 but the extra .1 requires it to be done again) 3,4,5,6 easy! Anu get 2c tho? Couldnt verify the point on the line
Got an A probably,but onlyabout 60% in paper 1 so hopefully a B overall

Indiego

OldManJenkin wrote: »

Indiego wrote: »

What theorems came up lads?

The one about equiangular triangles having their sides in proportion, and that opposite sides and angles of a parallelogram are equal.

awh damn.. I was hoping the pythag would come up, I had some friends counting on it :L

TheZestyLemon

Well, paper one was a disaster for me, hopefully paper two brought me up to a C.

juniorcert2012

Paper 2 was great, aced it for sure

Pen Rua

I found it to be quite tough.

Question 1 (c) was the worst. I had no idea what to. It was a disaster!

I didn't even know how to do the construction. I am very confident we never covered that in class.

Can anyone tell me the solutions to those?

Shane Gillespie

yoyojc wrote: »

OldManJenkin wrote: »

How did people do Q 1 C (ii)? The one where you have to find out how much of the cylinder was filled with the rain water, I assumed you would have found the volume of the Cylinder and divide in the amount of rain that fell on the roof, but there was no height of the cylinder so I couldn't do that?

You're exactly right? I haven't got a clue , i was looking for a height! No height whatsoever? ...


I think I did excellent in q.3,6
Then in 1 attempt part (C) same with coordinate geometry.

Could anybody verify that (5,-5) was on the line :I

You had to use your equation from part i and then use 'if a.point is on a line it will satisfy the equation'. That is substitute -5 for x and 5 for y

Leinsterr

For 1 c ii i got something like 0.295m or 0.259m and for 1ciii i got 13. ANYONE ELSE GET THIS OR THINKVRHISBWAS A PISS EASY PAPER

DaleHyland

Leinsterr wrote: »

For 1 c ii i got something like 0.295m or 0.259m and for 1ciii i got 13. ANYONE ELSE GET THIS OR THINKVRHISBWAS A PISS EASY PAPER

Your 1(c) is wrong. It takes 13 weeks for the tank to reach that height. Therefore the tank will be refilled four times.
Have a look at my answers and compare if you want.

ButtonBox

I thought it was easier than Paper one, but it still wasn't easy? If that makes sense.
My attempts for paper one though were so poor that fecking writing down the number of the question would've been an improvement..
Geometry was tricky.
Blanked on the thereoms. I'm so annoyed at that, cause I knew them inside out and I know them perfectly now, but I completely blanked in the exam
Also realised that for Paper One I forgot to put in the make and model of my calculator. I left it completely blank. I'm hoping that won't affect my marks, but you know, most likely will.

Overall, I preferred Paper Two to Paper One but still found it difficult. :P

Leinsterr

DaleHyland wrote: »

Your 1(c) is wrong. It takes 13 weeks for the tank to reach that height. Therefore the tank will be refilled four times.
Have a look at my answers and compare if you want.

Cheers man. How much attempt marks could I get

DaleHyland

out of 5 marks, I'd say 2. (att is 2 for 5 markers,3 for 10 markers and can be 7 for 20 markers (only in theorems.)

ButtonBox

Ah well, I got 0.01m cubed of rainfall per week. :P
And then I got 10m cubed.
So I left 10m cubed, crossed out the 0.01m cubed but left it readable.

Leinsterr

DaleHyland wrote: »

out of 5 marks, I'd say 2. (att is 2 for 5 markers,3 for 10 markers and can be 7 for 20 markers (only in theorems.)

Is that worth 5 or 10marks????? What u think of the paper overall

DaleHyland

Pen Rua wrote: »

I found it to be quite tough.

Question 1 (c) was the worst. I had no idea what to. It was a disaster!

I didn't even know how to do the construction. I am very confident we never covered that in class.

Can anyone tell me the solutions to those?

Construction is posted along with my answers the page previous.

Q1 (c.)The wording of the question was ****e, however I understood 5mm of rainfall to mean the height of it.
Imagine a cuboid of water. Of Length 50m and Width 40m. The height is 5mm.

Voulume of a cuboid is
l x h x w
50 x 40 x0.005 (As it is mm)
10m^3.

The tank has a diameter of 7m.
Therefore it has a radius of 3.5m
Volume of a cylinder =pi(r)^2(h)
pi(3.5)^2(h)= 10m^3 (We need to get the height of the water)
12.25piH=10m^3
H=10/12.25pi
H=0.26m^3

c(iii) 3.38/.26 = 13
That means it takes 13 weeks to reach that height,
Therefore it's emptied four times a year.

DaleHyland

Leinsterr wrote: »

Is that worth 5 or 10marks????? What u think of the paper overall

Thought it was fair in comparison with other years, The papers these years are not necessarily more difficult, rather more different, it was fine for me.
I'd say the breakdown for Q1 was
(10)
(10)
(10)
(10)
(5)
(5)

dalta5billion

Right, here's what I have to say about Paper 2.

Area and Volume Q1: The glass picture was just wrong, I don't see how it could possibly be that shape. Terribly confusing. + does surface area include inside and out? Which is which in the diagram?

The rainfall question: overall rainfall on roof was tricky. The cylinder question I skipped because time was running out, and because it seemed impossible. Just gave up.

Proving that those two right angled triangles were equiangular was difficult, got it in the end tho.

Those conspiracy theories about making project maths look good are seeming a lot more believable now....!

IAmApril

These were my answers for Paper 2:
Question 1
a) 60cm
b)i) 235.62cm^2
ii) 323.98cm^2
c)i) 10m^3
ii) 0.91m
iii) 14 times

Question 2:
a)i) (was graphed)
ii) 10 units^2
b)i) (-8,0)
ii) (proved)
c)i) 3x+4y=5
ii) (verified)
iii) (3,-1)

Question 3:
a)i) 67
ii) 67
b)i) (theorem)
ii) (construction)
c)i) (proved)
ii) (proved)

Question 4:
a) 68*
b) (theorem)
c)i) (proved)
ii) 4cm

Question 5:
a) 31.1 units^2
b)i) {square root}35
ii) 29*
c)i) 40*
ii) 32

Question 6:
a) Sleeping: 8hrs, School: 6hrs, Homework: 3hrs, Meals: 2hrs, Leisure: 5hrs.
b)i) €29
ii) 55 people = 37%
c)i) <30: 1, <50: 12, <70: 26
ii) (graphed)
iii) 11 people
iv) 1

Edit at will a few of them are a bit dodge so tell me what you think

Sophieee

DaleHyland wrote: »

I have all my answers once again, they are in no way to be taken as gospel/correct/the answers of a clever clogs.. etc... blah,blah,blah.

1(a) 60 cm.
B(i) 147.26cm^3 (I didn't know what they meant by cylindrical, I said Cylinder-hemisphere)
(ii) 170.82 cm^3
c(i) 10m^3 (Again, poorly worded , you could have got away with 5mm )
(ii) 0.26m
(ii)4

2(a)Graph
(ii) 10 units
b(i) (-8,0)
(ii) |PQ|=|PR|
|QR|does not equal |PQ|or |PR|
Therefore PQR is isoscles.
c(i)
3x+4y -5 =0
(ii) It is boss
(iii)3,5
Question 3
a(i)67
(ii) 67
b(i) Theorem
b (ii) That, only with 3.
(c)(i) |AB|=|AD|,|AE|=|AE|,right angles mean congruent RHS Congruent
(c)(ii) As ABE and ADE are congruent, BE = ED
4(a) 68
(b) Theroem
c(i) Right angle , common,remaining pair
(ii) Haven't a clue Got 8 sqrt 3.
Question 5
(a)31.1
(b)(i)sqrt 35
(ii)29
c(i)40
(ii)32
Question 6.

(a)8,6,3,2,5
(b)19
(ii)83.333333333333%
(c)
1,4,12,23,26,28
(ii)11
(11-10=1 car

^^woohoo i got basically the same as you, except 1cii) did not go well for me. could you show me how to do that question? also, i got a different answer for the ogive estimation, but it was close and they allow a tolerance so yay! thought that paper was hard especially area and volume, but hopefully a overall.

JCert96

Jesus all of ye are going on about 10 theorems, in Higher level project maths you only need to learn 5, and they're fairly handy now.

DaleHyland

IAmApril wrote: »

These were my answers for Paper 2:
Question 1
a) 60cm Correct
b)i) 235.62cm^2
ii) 323.98cm^2 How did you get those?
c)i) 10m^3 Correct
ii) 0.91m 0.26 Refer to mah answer in this page
iii) 14 times 4 times

Question 2:
a)i) (was graphed)
ii) 10 units^2 CORRECT
b)i) (-8,0)
ii) (proved)
c)i) 3x+4y=5 CORRECT
ii) (verified)
iii) (3,-1) CORRECT

Question 3:
a)i) 67
ii) 67 CORRECT
b)i) (theorem)
ii) (construction)
c)i) (proved)
ii) (proved)

Question 4:
a) 68*
b) (theorem)
c)i) (proved)
ii) 4cm Conflicting sources on this one, don't know the right answer,

Question 5:
a) 31.1 units^2 CORRECT
b)i) {square root}35 CORRECT
ii) 29* CORRECT
c)i) 40*CORRECT
ii) 32 CORRECT

Question 6:
a) Sleeping: 8hrs, School: 6hrs, Homework: 3hrs, Meals: 2hrs, Leisure: 5hrs. CORRECT
b)i) €29 19
ii) 55 people = 37% 125 PEOPLE = 83.333333
c)i) <30: 1, <50: 12, <70: 26 CORRECT
ii) (graphed) CORRECT
iii) 11 people CORRECT
iv) 1 CORRECT

Edit at will a few of them are a bit dodge so tell me what you think

WELL DONE!

DaleHyland

Sophieee wrote: »

^^woohoo i got basically the same as you, except 1cii) did not go well for me. could you show me how to do that question? also, i got a different answer for the ogive estimation, but it was close and they allow a tolerance so yay! thought that paper was hard especially area and volume, but hopefully a overall.

Q1 (c.)The wording of the question was ****e, however I understood 5mm of rainfall to mean the height of it.
Imagine a cuboid of water. Of Length 50m and Width 40m. The height is 5mm.

Voulume of a cuboid is
l x h x w
50 x 40 x0.005 (As it is mm)
10m^3.

The tank has a diameter of 7m.
Therefore it has a radius of 3.5m
Volume of a cylinder =pi(r)^2(h)
pi(3.5)^2(h)= 10m^3 (We need to get the height of the water)
12.25piH=10m^3
H=10/12.25pi
H=0.26m^3

c(iii) 3.38/.26 = 13
That means it takes 13 weeks to reach that height,
Therefore it's emptied four times a year.

(IT'S EASIER TO COPYPASTA THEN TO TELL YOU TO LOOK BACK)

willowbronze

most right (same as me, but thats not saying much)
in Q1 bii, theres no top to a drinking glass!
Q4cii ,can you show workings?
i got the same 1c i, ii, iii tho

IAmApril

My outlook of Question 1
b) i) CSA= 2{pie}rh
= 2{pie}(3.75)(10)
= 75{pie}
= 235.62 cm^2
ii) TSA OF OPEN TOP GLASS!= CSA of cyclinder + CSA of hemisphere
= 75{PIE} + 2{PIE}r^2
= 75{pie} + 2{pie}(3.75)^2
= 323.98 cm^2

c) i) V of water = 40 x 50 x 0.005
= 10m^2
ii) V of rainwater in tank = 10m^2
{pie}r^2h = 10
{pie}(3.75)^2(h)= 10
h = 10/{pie}(3.75)^2
h = 0.23 m
iii) 0.23 x 52 = 11.96
11.96/3.38 = no. of times it needs to be emptied
3.538461538 = 3.5 (or 4)

This is how I would do those :P