Leaving Higher Paper 2.

2001

Question (1)

(a) (10 marks).   (b) p (11,12), q (-13,4) PQ is a diameter. (20)

 

©g= -4.5,f=-2.5,c=24.The second point is (6,2). Just reflect (3,3) in the centre of the circle. (20)

 

Question 2:

(a)(10):(b)(10,10)

©(i)

(iii)(10,5,5)

 

Question 3:

(a)              a = -5. (10 marks)

 

 b (i)  (10,10)

 

(c) Slope of line N is : the two values of t are t=-2,t=4/3. (marks (10,10)

 

Question 4:

(i) The Angle is 2.5 Radians (ii) The angle is 143 degrees. (10)

 

(b)(10,10)

(c) Standard Proof The Vectors version is probably the easiest

(ii) Just add the cosine rule for a and b and Simplify.                     Marks (10,10)

 

Question5:

(a) Marks (10)

 

(b) marks (10,10)

 

©SinA=4/5, Tan A = -3/5, tan B = 11/7 Marks (10,10)

 

Question 6:

 

(a) (10 marks)(b)

(20 marks)

 

©(i)(ii) Not copper (6/14). (5/13). Marks (10,5,5)

 

 

Question 7:

 

(a)(i) 360. (ii) 2(4!)=48: (marks 5,5)

 

(b) Both green (b)(ii) both outcomes are the same colour=(b)(iii) first red then) green(b)(iv) One green and one blue Marks (5,5,5,5,)

 

©(i) the mean is 2k+4 :(ii) The easiest way to do this part is to use the definition that the Standard deviation squared is equal to the mean of the squares minus the square of the mean k=-1. (10,10 marks)

 

Question 8:

 

(a)   (10 marks)

 

(b) f (x)=sinx=(20)

©This was a bit different from the usual!

(20 marks)

The minimum value of l is

 

This paper was more difficult than the first paper. The line question was the most testing, but the Trigonometry and probability more than made up for this!

 

The marking scheme shown is not the official marking scheme .

Every effort has been made to be as accurate as possible but we are human.

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