OAU MATHS 2010 POST-UTME

OAU MATHS 2010 POST-UTME

1. If (3/4) x (2/3) y = 32/27. find the value of 3y – 2x
A. -1
B. 7
C. 1
D. -7

2. The 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. The 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. Find 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. Express
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. The expression cos 2 0 + sin 2 0 has the numerical value
A. 1
B. 2
C. 4
D. 0

8. What 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. The 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.Let the letters P, Q, R and S denote parallelogram, quadrilateral, rectangle and square respectively. Using the correct notation, which is correct in the inclusions below?
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.The 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. n/a

13. As 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, N14, 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 invest at 7% ?
A. N160,000
B. N140,000
C. N120,000
D. N80,000

18. In a convex polygon with n sides, the sum of interior angles is ___ NB: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. Find 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. 2y = 1/2x + 5/2
C. y = x + 5
D. 2y = x + 5

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