Mocks 2011 *** READ FIRST POST before posting or risk being banned! ***

emma123abc wrote: »

I typed it out a few pages back if you looked but here it is:

Maths Paper 2

Question 1:
(a) parametric eqns- x= 2 + 3cosθ, y= -4 + sinθ
(b) i) given point on a circle and circle eqn – find the eqn of the tangent k at the point
ii) find eqn of the other tangent parallel to k.
(c) Given point where circle touches x-axis and tangent – find eqn of circle

Question 2:
(a) Find cosθ when θ is the angle between the vectors -3i + j and -i - j
(b) a= i + 4j, b= 3i - 2j, p= (3t – 1)i +tj
i) find ap and bp in terms of i, j and t.
ii) find ab.ap
(c) given a triangle diagram – use ratio formula basically to find different things (too hard to explain properly without the diagram)
Question 3:
(a) area of triangle with vertices (-2,-1), (1,2) and (k,2k-3) is 6. Find values of k
(b) line k passes through (-4, 6) and has a slope m.
i) write down eqn for k in terms of m
ii) find co-ordinates of the points where k intersects the axes, in terms of m
iii) the area of the triangle formed by k and the axes is 54 sq units. Find values for m.
(c) Perpendicular lines; K: x-y-2=0 and h: x+y-4=0. Given that x’=5x-3y and y’=-3x+2y, show
i) the image lines aren’t perpendicular
ii) the point of intersection is the image of k∩h

Question 4:
(a) Angle θ of a sector of a circle is 45 degrees. Length of the arc is pie over 4 (can’t do the symbols on this, sorry). Find the radius of the sector.
(b) i) Using cos2a=cos2a-sin2a, prove sin2a=1/2(1-cos2a)
ii) Hence, or otherwise, solve 1-cos2a=sina, where 0<a<360
(c) Given a diagram, prove something from it (basically use sine rule twice)

Question 5:
(a) sina=12/13 and cosb=3/5, find sin(a-b)
(b) i) Given 3+sin2θ (over) cosθ-2=3cosθ, show cosθ=-1/2
ii) hence, solve (same eqn with 3x instead of θ) for 0<x<90
(c) Given a 3D diagram (hard enough question I thought but I got it out, just took a little while)
Question 6 and 7: I didn’t do them. Same for Question 9 and 10.

Question 8:
(a) Find integral of x3lnxdx
(b) given a series of f(x)
i) derive first five terms for ex
ii) hence, first five terms for e-x
iii) ignoring x4 and higher powers of x, use Maclaurin series for ex to find an approx. value of root x.
(c) Diagram (hard to explain without it)

emma123abc wrote: »

I typed it out a few pages back if you looked but here it is:

Maths Paper 2

Question 1:
(a) parametric eqns- x= 2 + 3cosθ, y= -4 + sinθ
(b) i) given point on a circle and circle eqn – find the eqn of the tangent k at the point
ii) find eqn of the other tangent parallel to k.
(c) Given point where circle touches x-axis and tangent – find eqn of circle

Question 2:
(a) Find cosθ when θ is the angle between the vectors -3i + j and -i - j
(b) a= i + 4j, b= 3i - 2j, p= (3t – 1)i +tj
i) find ap and bp in terms of i, j and t.
ii) find ab.ap
(c) given a triangle diagram – use ratio formula basically to find different things (too hard to explain properly without the diagram)
Question 3:
(a) area of triangle with vertices (-2,-1), (1,2) and (k,2k-3) is 6. Find values of k
(b) line k passes through (-4, 6) and has a slope m.
i) write down eqn for k in terms of m
ii) find co-ordinates of the points where k intersects the axes, in terms of m
iii) the area of the triangle formed by k and the axes is 54 sq units. Find values for m.
(c) Perpendicular lines; K: x-y-2=0 and h: x+y-4=0. Given that x’=5x-3y and y’=-3x+2y, show
i) the image lines aren’t perpendicular
ii) the point of intersection is the image of k∩h

Question 4:
(a) Angle θ of a sector of a circle is 45 degrees. Length of the arc is pie over 4 (can’t do the symbols on this, sorry). Find the radius of the sector.
(b) i) Using cos2a=cos2a-sin2a, prove sin2a=1/2(1-cos2a)
ii) Hence, or otherwise, solve 1-cos2a=sina, where 0<a<360
(c) Given a diagram, prove something from it (basically use sine rule twice)

Question 5:
(a) sina=12/13 and cosb=3/5, find sin(a-b)
(b) i) Given 3+sin2θ (over) cosθ-2=3cosθ, show cosθ=-1/2
ii) hence, solve (same eqn with 3x instead of θ) for 0<x<90
(c) Given a 3D diagram (hard enough question I thought but I got it out, just took a little while)
Question 6 and 7: I didn’t do them. Same for Question 9 and 10.

Question 8:
(a) Find integral of x3lnxdx
(b) given a series of f(x)
i) derive first five terms for ex
ii) hence, first five terms for e-x
iii) ignoring x4 and higher powers of x, use Maclaurin series for ex to find an approx. value of root x.
(c) Diagram (hard to explain without it)

u r FANTASTIC :)

sarahom wrote: »

it had a barcode on top right with letters so whtever that mean?

charlie500 wrote: »

Examcraft.
THANK YOU SO MUCH, I ACTUALLY LOVE YOU

randylonghorn wrote: »

That's ...

That's ...

That's ...

Grrrrrrrrrrrrrr!!!! :P :P

TanyaMay wrote: »

Trying to find if someone posted a good bit of info on the DEBS Irish OL papers? Has anyone done them.... would really appreciate some of the questions.


Also, DEBS HL Spanish....?
Art history Debs? HL

The rest of my mocks are after mid-term then because we're having our orals in between. Why they've decided to timetable them like that - I'll never know :rolleyes:

Corkgirl18 wrote: »

Hey just wondering if anyone had any pointers on Maths OL DEB Paper 2? I just dont have the time to revise all of it so just looking for some help please! Thanks
I can help with English DEB, Maths OL DEB Paper 1 and Examcraft Physics but I'm sure they are all posted here already. Thanks

TanyaMay wrote: »

Anyone? DEBS Art History or OL Irish?

be soooooo grateful...

monica 377 wrote: »

does anyone know what questions came up on HL Debs Accounting?? or Biology??
I have hints for Geography( HL Debs) and paper 1 for english both debs and examcraft and paper 2 debs.
i will swap with someone who can help me with accounting or biology or with short questions for home ec debs hl
Thank you

A) An timpeallacht agus daoine oga
An caitheamh aimsire is fearr liom
Saol faoin tuath

Oiche Shathairn a bhi ann agus bhi me i m'aonar sa teach. Bhi me i mo lui ar tholg sa seomra sui nuair a chuala me rud a chuir ionadh orm....

Gan fon poca. Gan airgead. Bhi me caillte, i bponc ceart....

C) Fuair tu dea-sceal agus tu ar saoire sa fhrainc. Scriobh an litir a chuirfea chuig cara leat sa bhaile faoi sin.

Chuala tu clar ar raidio na gaeltachta agus ni mo na sasta a bhi tu la cad a bhi le ra ag an laithreoir faoi dheagoiri sa la ata inniu ann. Scriobh an litir a chuirfea chuig an staisiun raidio faoin gclar sin.

D) Nior thainig tu abhaile areir ar chor ar bithe ach ta leithsceal agat. Ta d'athair ag fanacht sa chistin leat nuair a fhilleann tu abhaile. Scriobh an comhra a bheadh idir an bheirt agaibh.

Ba bhrea leat taithi oibre a fhail in oifig d'uncail le linn an tSamhraidh seo chugainn. Scriobh an comhra a bheadh idir an bheirt agaibh faoi sin.

Or

i Claire sa speir
ii: Favourite character

Or

i:La bui bealtaine

An cearrbhach mac caba/ fiche blian ag fas/ An bhean og/ coileach ghleann phadraig

Q2: A) Bimse Buan ar buairt Gach lo / Gealt?
Faoiseamh a Gheobhadsa

Q1: Area& Volume
A) triangle & retangle
SIMPSONS RULE
C) cone, sphere

Q2
a) Midpoint, slope etc
b) Simultanous equations
c Given 3 points find area of triangle, Distane formula

Q3 Circle
a) x(squared) + y(squared)= r(squared)

b)Draw circle on graph (compass)

c)Intersection of line & circle
Linear int non-linear

Q5 Trigonometry
a) Area of sector length of arc

b) sin, cos , tan

c) quadrilateral

Q7
a)Mean
b) Cumulative frequency curve (ogive)
c) Mean standard deviation using mid interval values

Q11 Linear programming
a) write 3 inequalities
b)inequalities, simultaneous equations, maximum profit

Roxy2011 wrote: »

Good luck