Maths Ordinary Paper 1:2001

Solutions to the 2001 Leaving Cert maths Ordinary Paper 1.

The marking scheme shown is not the official Marking scheme!

Question 1:

(a) 5 hours 15 minutes (b)(i) 7.43% (b)(ii). 05 (c)(i)£9434(ii) r= 4% Marks (10,20,20)

Question 2:

(a) n< 4, {0,1,2,3}: (b) (-7,5), (5, -1) (c) (i) p= -1/4 (c)(ii) p= 4. Marks (10,20,20)

Question 3:

(a) a = 5. (10)

(b)

(b) (10,10)

f (1) gives a + b= 5, f (2) gives 4a + 2b = -2 solve simultaneously to get a = - 6,

b = 11. The third root of f (x) = 0 is x = 3. Marks (10,10)

Question 4:

(a) Plot w = 3-2i and iw = 2 + 3i. (10)

(b) x = 1 .y = 3. (20)

©, (20)

Question 5:

(a) The 102^nd Term is 813 (10) They will probably give this more marks)

(b)(i) 3, (ii) R = 3, (iii)(5,5,10)

©(10,10)

Question 6:

(a) G (2) = 1/5= .2, g (3) = 1/10 = .1 (10)

(b) f (-1)= 18, f (2) = 0,f (5)=-18,

Maximum at (3,2), minimum at (1, -2)

F (x)=k has more than one solution when –2<k<2. (5,5,10,10)

Question 7:

(a)(5,5)

(b)(10,10)

Question 8:

(a)(i)(5,5)

(b) standard proof from first Principals. (20)

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