The Mocks 2010 *Read first post before posting*

The Line part (c) was linear transformations. There was also a question involving Distance from a point to a line in another part.
A part (c)'s in trig was:
Write Cos3x+Cosx as a product
Hence Solve Cos 3x+Cosx+Cos2x=0
Part (b) was a 3D triangle problem,
The only proof was Sin2A=2TanA/1+Tan^2A.
Then you were given Sin2A= 3/4, Find A.
P&S
(a) 10 people in a group, 5 chosen to go to party, 3 are then chosen to go to cinema. Remaining 2 go shooping,
What is the number of possible combinations
,
Part (C)'s of the prob Q's were:
(C1)
A Bag contains 5 red, 4 blue and 6 white, Marbles drawn out without replacement, What is prob that
(i) First Marble is not Blue
(ii)The first Red marble drawn is the third marble drawn
(iii) The First 3 marbles are different Colours
(iv) At lease one Blue Marble is drawn amongst the first Four marbles drawn.
(C2)
One Set is: a,b,c,d
The mean of this set is X(with the dash on top) and the Standard Deviation is _ (that Symbol that looks like an O)
(i) Express in terms of X(with the dash on top) the mean of the set; 1-a, 1-b,1-c, 1-d,
(ii) Express in terms of the standard Dev of the first set the deviation of; 1-a, 1-b,1-c, 1-d,
In the Diff Equation of one part(B) you need to use sum and Prod Of Roots.
The other part(B) was about Days of the week and the prob of people having the same birthday on a day or not etc.....
Q8,(A) easy ratio test to show series is convergent
(B) Integration by parts of: S LogeXdx
the second part you were given S LogeXdx = 1, with the integrals "K" and "0" and you had to find "K"
(C) Something about a ladder, I'll try and describe the diagram:
It was essentially a right angled triangle with the Hyp=10, and the orther two sides X and Y.
(i) express area of the triangle in terms of X
(ii) The value of X which gives the max area
(iii)Find Max Area.

(c) In an election, there are 7 candidates in a three seat constituency.
(i) In how many different orders can the 7 candidates finish on the election?
(ii) if one were to forecast who was to finish 1st, 2nd and 3rd how many such forecasts cud be made?
(iii) In how many different ways can the three seats be filled?

Version:1.0 StartHTML:0000000105 EndHTML:0000003743 StartFragment:0000002330 EndFragment:0000003707 Pros :

A) fiche bliain ag fas
(dunno the questions!)

or

cearrbhach mac caba
- humour
- describe cearrbhach mac caba

Describe the theme!

Poetry: Choose between : JACK / FAOISEAMH A GHEOBHADA
and
You must do Gealt.