>OBAFEMI AWOLOWO UNIVERSITY POST-UTME PAST QUESTIONS (MATHEMATICS) 2007

>MATHEMATICS
OBAFEMI AWOLOWO UNIVERSITY
ILE-IFE 2007

1. T he smallest sectin of a rod which can be cut into exactly equal sections, each of either 30cm or 36cm in length is
A. 90cm
B. 180cm
C. 360cm
D. 540cm

2. W hich of the following specified sets of data is not necessarily sufficient for the construction of a triangle?
A. three angles
B. two sides and a right angle
C. two sides and a included angle
D. three sides

3. T he volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is
A. 6
B. 9
C. 12
D. sq.root (6)

4. A ll the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65 0 . The angle subtended at the centre of the circle bythe base of the triangle is:
A.
130 0
B.
115 0
C.
100 0
D.
65 0

5. The table below shows the distribution of weight measure for 100 students
|weight|60-|63-|66-|69-|71- |
| (kg) |62 |65 | 68 | 71 | 74|
| f | 5 | 18 | 42 | 27 | 8 |
Calculate the mode of the distribution to two decimal places
A. 64.45
B. 62.45
C. 67.45
D. 65.45

6. W hen the price of egg was raised by N2 an egg, the number of eggs which canbe bought for N120 is reduced by 5. The present price of an egg is
A. N6
B. N7
C. N8
D. N10

7. If
x = 0.0012 + 0.00074 + 0.003174, what is the difference between x to 2 decimal places and x to 1 significant figure?
A. 0.01
B. 0.0051
C. 0.1
D. 0.005

8. A bearing of 310 0 , expressed as a compass bearing is
A.
N50 0 W
B.
N40 0 W
C.
S40 0 W
D.
S50 0 W

9. I n a survey of 100 students in an institution, 80 students speak Yoruba, 22 speak Igbo, while 6 speak neither Igbo or Yoruba. how many students speak Yoruba and Igbo?
A. 96
B. 8
C. 64
D. 12

10. If 0 is acute, evaluate
cos(90 – 0 ) + sin(180 – 0 )
cos(180 – 0 ) – sin(90 – 0 )
A.
tan 0
B.
-tan 0
C.
cot 0
D.-cot 0

11. The table below shows the distribution of weight measure for 100 students
|weight|60-|63-|66-|69-|71- |
| (kg) |62 |65 | 68 | 71 | 74 |
| f | 5 | 18 | 42 | 27 | 8 |
Calculate the mode of the distribution to two decimal places
A. 67.33
B. 65.33
C. 65.53
D. 67.35

12. T he average age of the three children in a family is 9 years. If the average age of the parent is 39years, the average age of the whole family is:
A. 20 years
B. 21 years
C. 24 years
D. 27 years

13. A square tile measures 20cm by 20cm. How many of such tiles will cover a floor measuring 5m by 4m?
A. 500
B. 400
C. 320
D. 250

14. A woman buys 4 bags of rice for L 56 per bag and 3 bags of beans for L 26 per bg using the currency "LONI:" ( L ) in base 7. what is the total cost of the item in another currency "MONT" ( M ) in base 8?
A.
M 224
B.
M 114
C.
M 340
D.
M 440

15. A bag contains 5 yellow balls, 6 green balls and 9 black balls. A ball is drawn from the bag. What is the probability that it is a black or yellow ball?
A. 37/160
B. 7/10
C. 77/800
D. 133/800

16. E valuate x in base 3 if 41 x – 22 x = 17 x
A. 11
B. 8
C. 12
D. 22

17. T he radius of a given circle is given as 10cm subject to an error of 0.2cm. The error in the area of the circle is
A. 1/4%
B. 1/80%
C. 2%
D. 4%

18. T he journey from Lagos to Ibadan usually takes motorist 1 hour 3 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in km/hr is
A. 100
B. 90
C. 85
D. 80

19. How long will it take a sum of money invested at 8% simple interest to double the original sum?
A. 8 years
B. 10.5 years
C. 12 years
D. 12.5 years

20. If
1 + 1 = 5
1 + 1
1 + 1
x
find x
A. 3/7
B. 7/3
C. – 3/7
D. – 7/3

21. Simplify
1 + 2 – 3 / [ 1 + 2 of 6 ]
3 3 7
A. – 8/33
B. 21/11
C. 33/21
D. – 21/8

22. T he intetrior angles of a pentagon are: 180 0 ,118 0 ,80 0 ,78 0 and x. The value of x is:
A. 750
B. 1080
C. 1200
D. 1340.

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