Leaving Cert Ordinary Paper 2.

2001.

Marks indicated are not the official marking scheme!

Every effort has been made to get things correct but we are human!

Question1;

(a) 400m (10)(b) x = 18, 4x = 72, (20)(c) volume of box is 972cm3, 1.32 (20)

Question 2:

(a) t = -1. (10) (b)(i) Slope of ac = -.5,slope of bc = 2 product of slopes = -1

b (ii)b (iii) Area of triangle bac is 10.

(iv) Coordinates of h (2,8) and of g (-4,6) (v) bc is 2x-y+4=0 h is on this because

2(2)-8+4=0.

(10,10,10,5,5)

Question 3:

(a)(i)_The Centre is (3,4), k = 0,k = 6. (10)

(b) the line is a tangent as it has only one point of contact (1, -3)(20)

© This part was a daft question to ask ordinary level students! (10,10)

Question 4:

(a) 100+576 = 676=(26)(26) Pythagoras! (10)

(b) theorem (20)

©(iii) 12.25. (iv) 2, (20)

Question 5:

(a) CosA = 4/5. cos2A =7/25 (10)

(b) The area of the triangle is ½(3)(7) Sin67=9.7(ii) the length of ac is 6. (20)

©Use the Sine rule to get (20)

Question 6:

(a) 1/7, (ii) 1/49 (10)

(b) 7! =5040, (ii) 1/7(7!)=720. (iii) 3! =6, (iv) 2! =2 (4x5)

© (10,10)

Question 7;

(a) Mean = 5, standard Deviation is 2.3 (10,10)

(b) The mean is 15.4 (10)

Amount spent	<IR£8	<IR£12	<IR£16	<IR£20	<IR£32
Number of Customers	2	11	24	34	40

About 3 customers spent IR£25 or more. (10,10)

Question 8:

Geometry not a popular option.

Question 9:

(a) (10) (b)(i) k = 1, t = 5. b (ii)(10,10)

C (i)(this is the first time they have asked you to find the angle)(20)

Question 10:

(a) (10)

(b) 18,12,8(ii)(10,10)

©IR£3096 (20)

Question 11.

(b)(30 marks)

They intersect at (25,40)

The profit expression is 10,000x + 7,000y

corner	Profit 10,000x+7,000y	Total profit
(0,0)	0+0	0
(0,80)	0+560000	IR£560000
(25,40)	250,000+280,000	IR£530,000
(45,0)	450,000 +0	IR£450,000

Max profit is IR£560,000 so he should make 80 semi-detached.

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