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Accounting

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UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS
1.
2.
3.

4.

5.
6.
7.
8.
9.
10.
11.

12.
13.

(1.28 x 104 ) ÷ (6.4 x 102 ) equals
(A) 2 x 10-5 (B) 2 x 10-1 (C) 2 x 100 (D) 2 x 101 (E) 2 x 105
A man and wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?
(A)
N216 (B)
N200 (C)
N184 (D)
N144 (E)
N100
Add the same number to the numerator and denominator of 3/18. If the resulting fraction is
½, then the number added is
(A) 13 (B) 14 (C) 15 (D) 12 (E) 11
After getting a rise of 15%, a man’s new monthly salary is N345. How much per month did he earn before the increase?
(A) N330 (B) N396.75 (C) N300 (D) N293.25 (E) N360
Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge ¼ is
(A) 0.5326 (B) 3.4958 (C) 0.4816 (D) 0.0142 (E) 1.3594

15.

16.

17.
18.
19.

C
D

C

Evaluate ൫ ଴ + 4ିଵ/ଶ൯
2
(A) ¼
(B) 5/4
(C) 9/4
(D) 4
(E) 9
Evaluate correct to 4 decimal places 827.51 x 0.015.
(A) 8.8415 (B) 12.4127 (C)
124.1265
(D)
12.4120(E)
114.1265
Express 130 kilometres per second in metres per hour.
(A) 7.8 x 105 (B)
468 x 106 (C) 7,800,000 (D) 4.68 x 106 (E) 780 x 10-6
Find the square root of 170-20√30
(A) 2√10-5√3 (B) 3√5-8√6 (C) 2√5-5√6 (D) 5√5-2√6 (E) 5√10-2√3
If (25)x-1 = 64(5⁄2)6, then x has the value
(A) 7 (B) 4 (C) 32 (D) 64 (E) 5
If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, in what ratio is the surface area reduced?
(A) 8:125 (B) 2:5 (C) 8:25 (D) 4:25 (E) 4:10
In base ten, the number 101101 (base 2) equals
(A) 15 (B) 4 (C) 45 (D) 32 (E) 90

A

Simplify

C



(A)
14.

D

ହೣ ୶ ଶହ౮ష భ
ଵଶହ౮శభ

5ଶ୶ିଵ (B)

Simplify

5୶ାଶ

(௔ିଵ/௔)൫ ర/యାଵ/௔మ/ళ൯

(௔మିଵ/௔మ)

(C)

(A)
ܽଶ/ଷ (B)
ܽିଵ/ଷ (C)
Simplify ݂ଵ/ଶ݃ଶℎଵ/ଷ ÷ ݂ହ/ଶ݃଴ℎ଻/ଷ
(A) (݃/݂ℎ)ଶ (B) ݂ହ݃ଶℎ଻
Simplify 2



ଵଶ

1 x






5ିହ

(D)

ܽଶ + 1

(C) ݂ହ/ସ݃଴ℎ଻/ଽ

5୶ାଵ
(D)

(D)

(E)

a
௚మ

௙ఱ௛ళ

(E)

(E)

5ଷ

ܽଵ/ଷ


௙మ௛మ

(A) 1/6
(B) 13/20 (C) 11/30
(D) 9/4
(E) 5/3
௫ା௬
ଷ௬ି௫
Solve the system of equations: 2
= 32, 3
= 27
(A) (3, 2)
(B) (-3, 2) (C)
(3, -2) (D)
(-3, -2) (E)
(2, 2)
The annual profits of a transport business were divided between the two partners A and B in the ratio 3:5. If B receives N3,000 more than A, the total profit was:
(A) N5,000 (B) N1,800 (C) N12,000 (D) N24,000 (E) N8,000
The diameter of a metal rod is measured as 23.40cm to four significant figures. What is
1

C
B
B
C
B
D

C

E

A

A

A
C
D

UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS

20.

21.
22.
23.

the maximum error in the measurement?
(A)
0.05cm (B) 0.5cm
(C) 0.045cm
(D) 0.005cm
(E) 0.004cm
The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r :t, in
1980 the price of a loaf went up by 25% and that of a packet of sugar by 10%. Their new ratio is now
(A) 40r:50t (B) 44r:50t (C)
50r:44t (D)
55r:44t (E)
44r:55t
The sum of 37/8 and 11/3 is less than the difference between 3/8 and 12/3 by (A) 32/3 (B)
5¼ (C) 6½ (D) 0 (E) 81/8
Two distinct sectors in the same circle subtend 1000 and 300 respectively at the centre of the circle. Their corresponding arcs are in the ratio
(A)
1:100 (B)
3:1
(C) 5:2
(D)
10:3
(E)
13:30
(49௔ ) − ݈ ଵ଴(0.01)?
What is ݈ ଻
‫݃݋‬
‫݃݋‬

49ܽ⁄100 (B) ܽ/2 + 2
(C) 7ଶ௔ + 2 (D)
2ܽ + 2
(E)
2ܽ/2
What is the number whose logarithm to base 10 is .3482?
(A)
223.6
(B)
0.2228
(C)
2.235
;
(D)
22.37
(E)
0.02229
When a dealer sells a bicycle for N81 he makes a profit of 8%. What did he pay for the bicycle? (A)
N73
(B)
N74.52
(C)
N75
(D)
N75.52
(E)
N87.48
Write the decimal number 39 to base 2.
(A) 100111 (B) 110111 (C) 111001 (D)
100101
(E)
19.5
A father is now three times as old as his son. Twelve years ago, he was six times as old as his son. How old are the son and the father?
(A) 20 and 45 (B) 100 and 150 (C) 45 and 65 (D) 35 and 75 (E) 20 and 60
A steel ball of radius 1cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?
(A) 44/3ߨcm3 (B) 12 ߨcm3 (C) 38/3 ߨcm3 (D) 40/3 ߨcm3 (E) 32/33 ߨcm3
Find a two-digit number such that three times the tens digit is 2 less than twice the units digit, and twice the number is 20 greater than the number obtained by reversing the digits.
(A) 24 (B)
42
(C)
74
(D)
47
(E)
72
Find the roots of the equation 10‫ݔ‬ଶ − 13‫0 = 3 − ݔ‬
(A) x = 3/5 or –½ (B) x = 3/10 or -1 (C) x = -3/10 or 1 (D) x = 1/5 or -3/2 (E) x
= -1/5 or 3/2
If a function is defined by ݂(‫ݔ3 = )1 + ݔ‬ଶ − ‫ ,4 + ݔ‬find ݂(0).
(A)
4
(B)
6
(C)
0
(D)
8
(E)
2
If sin x equals cosine x, what is x in radians?
(A) π/2 (B) π/3
(C) π/4 (D) π/6 (E) π/12
2
If x + 4 = 0, then x =
(A) 4 (B) -4 (C) 2 (D) -2 (E) none of these
In a geometric progression, the first term is 153 and the sixth term is 17/27, the sum of the first four terms is
(A) 860/3 (B) 680/3 (C) 608/3 (D) 806/3 (E) 680/27
List all integer values of x satisfying the inequality −1 < 2‫5 ≤ 5 − ݔ‬
(A) 2,3,4,5 (B) 2,5
(C) 3,4,5
(D) 2,3,4
(E) 3,4

Make c the subject of the equation ܽ(ܾ + ܿ) + ௗ − 2 = 0

C

C
D
D

(A)
24.
25.

26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.

2

E
C

A
E
A
D
E
D
C
E
B
C
D

UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS

37.

38.

39.
40.

41.
42.
43.
44.

(A)
ܿ = 2݀ − 5 − ܾ/ܽ݀
(B) ܿ = 5 − 2݀ − ܾ/ܽ݀
(C)
ܿ = 5 − 2݀ −
ܾܽ݀/ܽ݀ (D) ܿ = 2݀ − 5 − ܾܽ݀/ܽ݀ (E)
ܿ = 2݀ − ܾܽ − 5/ܽ݀
Multiply (3‫ )ݖ4 + ݕ5 + ݔ‬by (2‫)ݖ + ݕ3 − ݔ‬
(A)
6‫ݔ‬ଶ + ‫ݕ51 − ݕݔ‬ଶ + 4‫ݖ‬ଶ + 11‫ݖݕ7 −ݖݔ‬
(B)
6‫ݔ‬ଶ + 3‫ݕ51 − ݕݔ‬ଶ + 4‫ݖ‬ଶ + 11‫ݖݕ5 −ݖݔ‬
(C)
6‫ݔ‬ଶ + 3‫ݕ51 − ݕݔ‬ଶ + 4‫ݖ‬ଶ + 13‫ݖݕ8 −ݖݔ‬
(D)
6‫ݔ‬ଶ + 5‫ݕ51 − ݕݔ‬ଶ + 4‫ݖ‬ଶ + 13‫ݖݕ6 +ݖݔ‬
(E)
6‫ݔ‬ଶ + ‫ݕ51 − ݕݔ‬ଶ + 4‫ݖ‬ଶ + 13‫ݖݕ7 − ݕݔ‬
Multiply (‫ )5 + ݕ3 + ݔ‬by (2‫ݔ‬ଶ + 5‫)2 + ݕ‬
(A)
2‫ݔ‬ଷ + 3‫ݔݕ‬ଶ + 10‫ݕ51 + ݕݔ‬ଶ + 13‫ݔ01 + ݕ‬ଶ + 2‫01 + ݔ‬
(B)
2‫ݔ‬ଷ + 6‫ݔݕ‬ଶ + 5‫ݕ51 + ݕݔ‬ଶ + 31‫ݔ01 + ݕ‬ଶ + 2‫01 + ݔ‬
(C)
2‫ݔ‬ଷ + 3‫ݔݕ‬ଶ + 5‫ݕ01 + ݕݔ‬ଶ + 13‫ݔ5 + ݕ‬ଶ + 2‫01 + ݔ‬
(D)
2‫ݔ‬ଷ + 6‫ݔݕ‬ଶ + 5‫ݕ51 + ݕݔ‬ଶ + 13‫ݔ01 + ݕ‬ଶ + 2‫01 + ݔ‬
(E)
2‫ݔ‬ଷ + 2‫ݔݕ‬ଶ + 10‫ݕ01 + ݕݔ‬ଶ + 31‫ݔ5 + ݕ‬ଶ + 2‫01 + ݔ‬
Multiply ‫ݔ‬ଶ + ‫ 1 + ݔ‬by ‫ݔ‬ଶ − ‫1 + ݔ‬
(A) ‫ݔ‬ସ + 3‫ݔ‬ଶ + ‫( 1 + ݔ‬B) ‫ݔ‬ସ + ‫ݔ‬ଶ + 1 (C) ‫ݔ‬ସ + 4‫ݔ‬ଶ − 6‫( 1 + ݔ‬D) ‫ݔ‬ସ −
6‫ݔ‬ଶ − 4‫1 + ݔ‬
(E) ‫ݔ‬ସ − ‫ݔ‬ଷ − ‫ݔ‬ଶ + ‫1 + ݔ‬
The factors of 6‫ݔ − 5 − ݔ‬ଶ are
(A) – (‫( )2 + ݔ()3 + ݔ‬B) (‫)1 − ݔ()5 − ݔ‬
(‫)ݔ − 1()5 + ݔ‬
(C) – (‫( )1 + ݔ()5 + ݔ‬D) (‫( )ݔ − 1()5 − ݔ‬E)
The quantity (x + y) is a factor of A.
(A) ‫ݔ‬ଶ + ‫ݕ‬ଶ
(B) ‫ݔ‬ଷ − ‫ݕ‬ଷ
(C) 2‫ݔ‬ଶ − 3‫ݕ + ݕݔ‬ଶ − ‫1 + ݔ‬
(D)
2‫ݔ‬ଷ + 2‫ݔ‬ଶ‫ݕ − ݔ3 + ݕݔ − ݕ‬ଶ + 3‫ݕ‬
(E)
‫ݔ‬ହ − ‫ݕ‬ହ
The set of values of x and y which satisfies the equations x2 - y - 1 = 0 and y – 2x + 2 = 0
(A)
1, 0
(B)
1, 1
(C)
2, 2
(D)
0, 2
(E)
1, 2
The solution of the equation ‫ݔ‬ଶ − 2‫ 8 = ݔ‬is
(A) x = 0 or 2 (B) x = -2 or 4 (C) x = 2
(D) x = -4
(E) x = 2 or 4
The solution of the quadratic equation ܾ‫ݔ‬ଶ + ܿ + ܽ = 0 is given by
‫ݔ‬
(A) ‫= ݔ‬
(D)

45.

46.

47.
48.

‫=ݔ‬

ି௖±ξ ௖మିସ௔௕
ଶ௕

௕±√௕మାସ௔௖
ଶ௔

(B)

‫=ݔ‬

ି௕±ξ ௕మିସ௔௕
ଶ௔

(E)

‫=ݔ‬

(C)

‫=ݔ‬

௖±√௖మିସ௔௕
ଶ௕
ହ is and the


௖±ξ ௕మିସ௔௖

B

B
D

D
A
B
A

ଶ௕

The sum of the root of a quadratic equation product of its roots is 4. The quadratic equation is
(A) 2‫ݔ‬ଶ + 5‫0 = 8 + ݔ‬
(B) 2‫ݔ‬ଶ − 5‫0 = 8 + ݔ‬
(C)
2‫ݔ‬ଶ − 8‫0 = 5 + ݔ‬
(D) 2‫ݔ‬ଶ + 8‫0 = 5 − ݔ‬
(E) 2‫ݔ‬ଶ + 5‫0 = 8 − ݔ‬


Three numbers x, y and z are connected by the relationships ‫ 1 + ݔ = ݕ‬and ‫.1 + ݕ = ݖ‬


If x = 99, find z.
(A) 61/3 (B)
20
(C) 21 (D)
1764/9
(E)
None of the above
What factor is common to all the expressions: ‫ݔ‬ଶ − ‫ݔ2 ,ݔ‬ଶ + ‫ 1 − ݔ‬and ‫ݔ‬ଶ − 1?
(A) x (B) x – 1 (C) x+1 (D) No common factor
(E) (2x – 1)
A canal has rectangular cross section of width 10cm and breadth 1m. If water of uniform density 1gm cm-3 flows through it at a constant speed of 1000mm per minute, the adjacent sea is
3

A

B

C

D
A

UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS
49.
50.
51.
52.

53.
54.
55.
56.
57.
58.
59.

60.

61.
62.
63.
64.

65.

(A) 100,000 (B) 1,000,000
(C) 120,000 (D) 30,000 (E) 350,000
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
(A)
9cm
(B) √65cm
(C)
4√2cm (D) 7cm
(E)
6.5cm
A cylinder of height h and radius r is open at one end. Its surface area is
(A) 2πrh (B) πr2h (C) 2πrh+2πr2 (D) πrh+πr2 (E) 2πrh+πr2
A pyramid is constructed on a cuboid. The figure has
(A) 12 faces (B) 13 vertices (C) 14 edges (D) 15 edges (E) 16 edges
A quadrant of a circle of radius 6cm is cut away from each corner of a rectangle 25cm long and 18cm wide. Find the perimeter of the remaining figure.
(A) 38cm (B) (38 + 12ߨ)ܿ݉ (C) (86 − 12ߨ)ܿ݉ (D) (86 − 6ߨ)ܿ݉ (E) (86 +
12ߨ)ܿ
݉
A rectangular picture 6cm by 8cm is enclosed by a frame ½cm wide. Calculate the area of the frame.
(A) 15sq.cm (B) 20sq.cm (C) 13sq.cm (D) 16sq.cm (E) 17sq.cm
A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is
(A) 36ߨܿ݉ ଶ (B) 36/ ߨܿ ଶ (C) 54√3cm2 (D) 54/√3cm2 (E) 54√3‫ݔ‬cm2
݉
A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is
(A) 36ߨܿ݉ ଶ (B) 36/ ߨܿ ଶ (C) 54√3cm2 (D) 54/√3cm2 (E) 54√3‫ݔ‬cm2
݉
A solid cylinder of radius 3cm has a total surface area of 36πcm2. Find its height.
(A)
2cm
(B)
3cm
(C)
4cm
(D)
5cm
(E)
6cm
A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?
(A) 20sq.cm (B) 25sq.cm (C) 36sq.cm (D) 100sq.cm (E) 16sq.cm
A triangle has angles 300, 150 and 1350, the side opposite to the angle 300 is length 6cm.
The side opposite to the angle 1350 is equal to
(A) 12cm
(B) 6cm
(C) 6√2cm (D) 12√2cm (E) 6√3cm
An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

(A)
7 cm (B) 12cm
(C) 8cm
(D) 7cm
(E) √69cm
ଶସ
ଵ ଶ

Differentiate ቀ‫ݔ‬ଶ − ቁ with respect to x.

(A) 4‫ݔ‬ଷ − 2 − 2/‫ݔ‬ଷ
(B) 4‫ݔ‬ଷ − 2 + 2/‫ݔ‬ଷ (C) 4‫ݔ‬ଷ − 3‫( ݔ/2 + ݔ‬D) 4‫ݔ‬ଷ − 4‫( ݔ/2 − ݔ‬E) 4‫ݔ‬ଷ − +6 +
2/‫ݔ‬ଷ
Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm (Take π = 22/7).
(A) 188.57cm2 (B) 1320cm2 (C) 188cm2 (D) 188.08cm2 (E) 100cm2
Find the total surface area of a solid cone of radius 2√3cm and slanting side 4√3cm.
(A) 8√3ߨcm3 (B) 24ߨcm3 (C) 15√3ߨcm3 (D) 36ߨcm3
(E) 30ߨcm3
0
0
0
If the four interior angles of a quadrilateral are (p+10) ,(p-30) ,(2p-45) and (p+15)0, then p is
(A) 1250 (B) 820 (C) 1350 (D) 1050 (E) 600
If the hypotenuse of a right angled isosceles triangle is 2, what is the length of each of the other sides?
(A) √2
(B)
1/√2
(C)
2/√2 (D)
1
(E)
√2 − 1
If the value of π is taken to be 22/7, the area of a semicircle of diameter 42m is
4

B
E
E
B

A
C

C
B
B
C
A

E

A

D
B
A

E

UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS
66.
67.
68.
69.
70.

71.
72.
73.

74.
75.

76.
77.

78.

(A) 5544m2 (B) 1386m2 (C) 132m2 (D) 264m2 (E) 693m2
In a circle of radius 10cm, a cord of length 10cm is xcm from its centre where x is
(A) 10√2
(B) 5√3
(C) 10√3
(D) 5√2
(E) 10
PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If PQS = 150, find
QRS.
(A) 750
(B) 37½0
(C) 127½0 (D) 1050
(E) None of the above
The difference between the length and width of a rectangle is 6cm and the area is
135cm2. What is the length?
(A) 25cm
(B) 18cm
(C) 15cm
(D) 24cm
(E) 27cm
At what value of x does the function y= -3 – 2x +x2 attain a minimum value?
(A)
4
(B)
2
(C)
-1
(D)
-4
(E)
1
ଵ ଶ

Differentiate ቀ‫ݔ‬ଶ − ቁ with respect to x.

(A)
4‫ݔ‬ଷ − 2 − 2/‫ݔ‬ଷ (B) 4‫ݔ‬ଷ − 2 + 2/‫ݔ‬ଷ (C)
4‫( ݔ/2 − ݔ‬E) 4‫ݔ‬ଷ − +6 + 2/‫ݔ‬ଷ

Evaluate ∫ (‫ݔ‬ଶ − 2‫ݔ݀)ݔ‬




ௗ௫




(A) ‫ݔ‬ଶ/2 −sin ‫( ܿ + ݔ‬B) ‫ݔ‬ଶ − sin ‫( ܿ + ݔ‬C)
+ sin ‫ܿ + ݔ‬



(D) ‫ + ݔ‬sin ‫ܿ + ݔ‬
(E) ‫ + 4/ ݔ‬sin ‫ܿ + ݔ‬
If the maximum value of y = 1+ hx -3x2 is 13, find h.
(A) 13 (B) 12 (C) 11. (D) 10 (E) 14.
ௗ௦

)(5‫ ,)4 −ݐ‬find when ‫ܿ݁ݏ =ݐ‬
If ‫ݐ3 + 2( = ݏ‬
ௗ௧

(A) 0 unit per sec.
(B) 15 units per sec. (C) 22 units per sec. sec. (E) 24 units per sec.
ௗ௬
If ‫)ݔ2 − 1( = ݕ‬ଷ, find the value of at x = -1
ௗ௫
(A)
-6
(B)
57
(C)
-54
(D)
27
(E)
ௗ௬
If ‫ 3 = ݕ‬cos 4‫ ,ݔ‬equals
௫మ

ௗ௫

(A) 6sin8x
(B) -24sin4x (C)
ଵି௫
Integrate య with respect to x
௫ି௫మ
௫ర







(E) ௫ − ଶ௫మ + ݇
ଵି௫
Integrate ௫య with

(A)
80.




(D)

(A) 4 (B) 2
(C)
(D)
(E)

Find the derivative of ‫݅ݏ = ݕ‬
݊(2‫.)4 − ݔ3 + ݔ‬
(A) −ܿ‫ݔ2(ݏ݋‬ଷ + 3‫( )4 − ݔ‬B) −(6‫ݔ‬ଶ + 3)ܿ‫ݔ2(ݏ݋‬ଷ + 3‫( )4 − ݔ‬C)
3‫( )4 − ݔ‬D) (6‫ݔ‬ଶ + 3)ܿ‫ݔ2(ݏ݋‬ଷ + 3‫)4 − ݔ‬
(E) ܿ‫ݔ2(ݏ݋‬ଷ + 3‫)4 − ݔ‬
ௗ௬
If = ‫ + ݔ‬cos ‫ ,ݔ‬find y.

(A)
79.

4‫ݔ‬ଷ − 3‫ݔ/2 + ݔ‬

௫ି௫మ

௫ర


− మ+݇

ଶ௫

(B)



௫ర





௫య



12sin4x
(C)




+

(D)


ଶ௫మ

ܿ‫ݔ2(ݏ݋‬ଷ +



− య
௫ర


(E)
The derivative of cosec x is



5

C
E
E

C
D
C

C
(D) 26 units per
C
-27
D

-12sin4x (E) 24sin4x





+ మ+

ଶ௫

(C)

D

B

(D)



ଷ௫మ





ଶ௫



E

E

respect to x

(B)

4‫ݔ‬ଷ −

B

݇

(D)


ଷ௫మ




+
ଶ௫

݇

B

UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS

81.
82.
83.

84.

85.
86.
87.

88.
89.
90.

91.

92.

(A) tanx cosec x (B) –cot x cosec x (C) tan x sec x (D) –cot x sec x (E) cot x cosec x
The minimum value of y in the equation ‫ݔ = ݕ‬ଶ − 6‫8 + ݔ‬
(A)
8
(B)
3
(C)
0
(D)
-1
(E)
5
The slope of the tangent to the curve ‫ݔ2 = ݕ‬ଶ − 2‫ 5 + ݔ‬at the point (1, 6) is
(A)
4
(B)
1
(C)
6
(D)
5
(E)
3
ௗ௬
Two variables x and y are such that = 4‫ 3 − ݔ‬and y = 5 when x = 2. Find y in terms of
ௗ௫
x.
(A) 2‫ݔ‬ଶ − 3‫( 5 + ݔ‬B) 2‫ݔ‬ଶ − 3‫( 3 + ݔ‬C) 2‫ݔ‬ଶ − 3‫( ݔ‬D) 4
(E)
6
7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11 years join the class, what is the average age of the pupils now in the class?
(A) 13years (B) 12years 7½months (C) 13years 5months (D) 13years 10 months
(E) 11 years
A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?
1
2
2
1
3
(A)
/3
(B)
/9
(C)
/15
(D)
/5
(E)
/5
Bola chooses at random a number between 1 and 300. What is the probability that the number is divisible by 4?
(A) 1/3 (B) ¼ (C) 1/5 (D) 4/300 (E) 1/300
Determine the mean monthly salary of 50 employees of a company from the following frequency distribution:
Monthly salary
Frequency
N20,000.00
10
N32,500.00
5
N10,000.00
20
N12,000.00
2
N6,000.00
10
N8,000.00
3
(A) N21,500.30
(B)
N13,400.10 (C)
N14,300.10
(D)
N8,000.00
(E)
N5,000.30
Find the mean deviation of 1, 2, 3 and 4.
(A)
2.5
(B)
2.0
(C)
1.0
(D)
1.5
(E)
1.2
If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8, then (M, D) is
(A)
(6, 5) (B)
(5, 8) (C)
(5, 7) (D)
(5, 5) (E)
(7, 5)
In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?
17
11
6
5
7
(A)
/30
(B)
/30
(C)
/30
(D)
/30
(E)
/3
In a school, 220 students offer Biology or Mathematics or both, 125 offer Biology and 110
Mathematics. How many offer Biology but not Mathematics?

(A)
95
(B)
80
(C)
125
(D)
110
(E)
120
In a school, there are 35 students in Class 2A and 40 in class 2B. The mean score for class
2A in an English literature examination is 60.0 and that for 2B in the same paper is 52.5.
Find to one place of decimals, the mean for the combined classes.
6

D
C
B

A

E

B

B

C
D
A

D

B

UNIVERSITY OF IBADAN, IBADAN.
POST-UTME PRACTICE QUESTIONS & ANSWERS
MATHEMATICS

93.

94.
95.

(A)
1.5
(B)
56.0
(C)
56.2
(D)
56.3
(E)
56.5
In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2,
1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4 and 1. The mean, median and mode are respectively
(A) 1, 1.8 and 1.5 (B) 1.8, 1.5 and 1 (C) 1.8, 1 and 1.5 (D) 1.5, 1 and 1.8 (E)
1.5, 1.8 and 1
In how many ways can 2 students be selected from a group of 5 students in a debating competition? (A) 25 ways (B) 10 ways (C) 15 ways (D) 20 ways (E)
16 ways
The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes
15.2 years. How much older is the boy than the girl?

(A) 30 years (B) 6 years (C) 9 years (D) 3 years (E) 1 year
The letters of the word “MATRICULATION” are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel.
7/
5/
6/
8/
4/
(A)
(B)
(C)
(D)
(E)
13
13
13
13
13
97. The mean of the numbers 3, 6, 4, x and 7 is 5. Find the standard deviation.
(A)
(B)
(C)
2
(D)
3
(E)
5
√2
√3
98. The weights of 30 new-born babies are given as follows: 6, 9, 5, 7, 6, 7, 5, 8, 9, 5, 7, 5,
8, 7, 8, 7, 5,6, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is
(A)
6
(B)
5
(C)
8
(D)
7.
(E)
10
99. Thirty boys and x girls sat for a test. The mean of the boys’ scores and that of the girls were respectively 6 and 8. Find x if the total score was 468.
(A)
38
(B)
24
(C)
36.
(D)
22
(E)
41
Two fair dice are rolled. What is the probability that both show up the same number of
100.
1
7
1
1
points? (A)
/36
(B)
/36
(C)
½
(D)
/3
(E)
/6
96.

7

B

D
D

C

A
D
C
E…...

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