>MATHEMATICS

OBAFEMI AWOLOWO UNIVERSITY

ILE-IFE 2010.

1. I f (3/4) x (2/3) y = 32/27. find the value of 3y – 2x

A. -1

B. 7

C. 1

D. -7

2. T he indefinite integral xe x , for any real constant c is

A. c

B.

x + e x + c

C.

x 2 + e x + c

D.

e x (x – 1) + c

3. T he scores of 16 students in a mathematics test are 65, 65, 55, 60, 65, 60, 70,75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores

A. 125

B. 130

C. 140

D. 150

4. F ind the values of x for which 5 + 2x – 3x 2 = 0

A. -2 and 6/5

B. -1 and 5/3

C. -2 and -1

D. 6/5 and 5/3

5. E xpress

5y – 12

(y – 2) (y – 3)

in partial fraction

A. 2/y – 2 – 3/y – 3

B. 2/y – 2 + 3/y – 3

C. 2/y – 3 – 3/y – 2

D. 3/y – 3 – 4/y – 2

6. I f tan x = sin x / cos x find tan(90 0 + x), for acute of x

A. -cot x

B. -tan x

C. cot x

D. tan x

7. T he expression cos 2 0 + sin 2 0 has the numerical value

A. 1

B. 2

C. 4

D. 0

8. W hat is the distance between points (1, 2) and (4, 5) on a plane?

A. 3 root 2

B. 2 root 3

C. 3

D. 9

9. T he second term of an infinite geometric series is -1/2 and the third term is 1/4. Find the sum of the series

A. 2

B. 1

C. 3/2

D. 2/3

10. L et the letters P, Q, R and S denote parallelogram, quadrilateral, rectangle andsquare respectively. Using the correct notation, which is these inclusions is correct?

A. Q c R c P c S

B. S c P c R c S

C. S c P c R c Q

D. S c R c P c Q

11. T he integral values of y which satisfy the inequality -1 < 5 – 2y <_ 7 are

A. -1, 0, 1, 2

B. 0, 1, 2, 3

C. -1, 0, 1, 2, 3

D. -1, 0, 2, 3

12. I f x/y = z/w = c , find the value of

3x 2 – xz + z

3y 2 – yw + w

in terms of c

A.

3c 2

B.

17c 2 /4

C.

2c – c 2D.

c 2

13. A s 0 tends to zero, what does cos 0 tends to ?

A. sin 0

B. 0

C. 1/2

D. 1

14. F ind x if x 2 – 2x – 15 = 0

A. 3, -5

B. -3, 5

C. 1, 15

D. -2, 15

15. I f x 2 – 5x + 6 = (x – a) 2 + b , the value of b is

A. -1/4

B. 3/2

C. 2

D. 3

16. A father leaves a legacy of N45 million for his children – Peter, David and Paul to be shared in the ratio 7:5:3. What amount in million Naira would each receive respectively?

A. N14, N7, N3

B. N15, N5, N3

C. N21, N15, N9

D. N20, N16, N10

17. A businessman invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of N11,600 as dividend, how much did he invested at 7% ?

A. N160,000

B. N140,000

C. N120,000

D. N80,000

18. I n a convex polygon with n sides, the sum of interior angles is

N:B = 3.142 represents "pi"

A. (n – 2) 3.142

B. 2(n – 1) 3.142

C. 4(n – 1) 3.142

D. (2n + 4) 3.142

19. F ind the equation of the line perpendicular to the line y = 2x + 1 and passing through a point (3, 1)

A. y = 1/2x + 5/2

B.

y 2 = 1/2x + 5/2

C. y = x + 5

D. 2y = x + 5

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