Free Essay

Submitted By sossy01

Words 3882

Pages 16

Words 3882

Pages 16

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

ଶ

(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/ଶ݃ℎ/ଷ

(A) (݃/݂ℎ)ଶ (B) ݂ହ݃ଶℎ

Simplify 2

ହ

−

ଵଶ

1 x

଼

ହ

5ିହ

(D)

ܽଶ + 1

(C) ݂ହ/ସ݃ℎ/ଽ

5୶ାଵ

(D)

(D)

(E)

a

మ

ఱళ

(E)

(E)

5ଷ

ܽଵ/ଷ

ଵ

మమ

(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

ହ

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

ଶ

±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

ସ

ସ

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

ଽ

ଽ

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?

ଵ

(A)

7 cm (B) 12cm

(C) 8cm

(D) 7cm

(E) √69cm

ଶସ

ଵ ଶ

Differentiate ቀݔଶ − ቁ with respect to x.

௫

(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.

௫

(A)

4ݔଷ − 2 − 2/ݔଷ (B) 4ݔଷ − 2 + 2/ݔଷ (C)

4( ݔ/2 − ݔE) 4ݔଷ − +6 + 2/ݔଷ

ଷ

Evaluate ∫ (ݔଶ − 2ݔ݀)ݔ

ଶ

ସ

ଷ

ௗ௫

ଵ

ହ

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

+ sin ܿ + ݔ

ଶ

ଶ

ଶ

(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

ସ

)(5 ,)4 −ݐfind when ܿ݁ݏ =ݐ

If ݐ3 + 2( = ݏ

ௗ௧

ହ

(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

௫

+݇

ଵ

ଵ

(E) ௫ − ଶ௫మ + ݇

ଵି௫

Integrate ௫య with

(A)

80.

ଵ

ଷ

(D)

(A) 4 (B) 2

(C)

(D)

(E)

ଶ

Find the derivative of ݅ݏ = ݕ

݊(2.)4 − ݔ3 + ݔ

(A) −ܿݔ2(ݏଷ + 3( )4 − ݔB) −(6ݔଶ + 3)ܿݔ2(ݏଷ + 3( )4 − ݔC)

3( )4 − ݔD) (6ݔଶ + 3)ܿݔ2(ݏଷ + 3)4 − ݔ

(E) ܿݔ2(ݏଷ + 3)4 − ݔ

ௗ௬

If = + ݔcos ,ݔfind y.

(A)

79.

4ݔଷ − 3ݔ/2 + ݔ

௫ି௫మ

+݇

௫ర

ଵ

ଵ

− మ+݇

௫

ଶ௫

(B)

ସ

௫ర

−

ଷ

௫య

+݇

12sin4x

(C)

ଵ

௫

+

(D)

ଵ

ଶ௫మ

ܿݔ2(ݏଷ +

ସ

ଷ

− య

௫ర

௫

(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

+݇

ଵ

ଵ

+ మ+

௫

ଶ௫

(C)

D

B

(D)

ଵ

ଷ௫మ

−

ଵ

ଶ௫

+݇

E

E

respect to x

(B)

4ݔଷ −

B

݇

(D)

ଵ

ଷ௫మ

−

ଵ

+

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…...

Premium Essay

...The Accounting Information System http://edugen.wileyplus.com/edugen/courses/crs6348/kieso978... Print this page CHAPTER 3 The Accounting Information System LEARNING OBJECTIVES After studying this chapter, you should be able to: 1. Understand basic accounting terminology. 2. Explain double-entry rules. 3. Identify steps in the accounting cycle. 4. Record transactions in journals, post to ledger accounts, and prepare a trial balance. 5. Explain the reasons for preparing adjusting entries. 6. Prepare ﬁnancial statements from the adjusted trial balance. 7. Prepare closing entries. 8. Differentiate the cash basis of accounting from the accrual basis of accounting. 9. Identify adjusting entries that may be reversed. 10. Prepare a 10-column worksheet. 11. Apply IFRS to the accounting information system. Needed: a Reliable Information System Maintaining a set of accounting records is not optional. Regulators require that businesses prepare and retain a set of records and documents that can be audited. The U.S. Foreign Corrupt Practices Act, for example, requires public companies to “… make and keep books, records, and accounts, which, in reasonable detail, accurately and fairly reﬂect the transactions and dispositions of the assets. …” But beyond these two reasons, a company that fails to keep an accurate record of its business transactions may lose revenue and is more likely to operate inefﬁciently. One reason accurate records are not provided is because of......

Words: 929 - Pages: 4

Premium Essay

...and resources most accountancy students fail because “accounting assignments/problems are very time consuming and sometimes not easy to understand” (Francisco Vazquez, 2012). And those students don’t want their minds to explode and waste their time to come up with an answer or solution that they choose to play video games or surf the net than answering their math question/s. And these are also some habits why most accountancy students fail: 1. Not Attending Class 2. Not Doing Assignments 3. Not Taking Notes 4. Relying on Other Students 5. Not Managing Time Well 6. Procrastinating / Doing Last Minute Work 7. Not Following Instructions or Directions 8. Not Participating in Class 9. Mind-Blocking / Negative Thinking 10. Blaming Your Teacher And these are some explanation for some habits why most accountancy students fail based from the opinion of the author. 1. Not Attending Class. This one can really get my goat. I mean, the subject is not really that easy (especially if this is the first time you’re taking accounting, it’s almost like a foreign language to you) and if you don’t attend it, what will you really learn? Nothing beats attending class religiously to hear and see everything firsthand. 2. Not Doing Assignments. Now this they do all the time. As if they can pass if they don’t do their assignments. Personally, I think the only way to get good results from an accounting subject is to do the exercises and assignments......

Words: 3063 - Pages: 13

Premium Essay

... | | |Principles of Accounting II | Copyright © 2011 by University of Phoenix. All rights reserved. Course Description This course introduces accounting concepts in a business environment. Students learn to create and apply accounting documents in making better business decisions. Other topics include plant assets, liabilities, accounting for corporations, investments, statements of cash flows, financial statement analysis, time value of money, payroll accounting, and other significant liabilities. Policies Faculty and students/learners will be held responsible for understanding and adhering to all policies contained within the following two documents: University policies: You must be logged into the student website to view this document. Instructor policies: This document is posted in the Course Materials forum. University policies are subject to change. Be sure to read the policies at the beginning of each class. Policies may be slightly different depending on the modality in which you attend class. If you have recently changed modalities, read the policies governing your current class modality. Course Materials Weygandt, J. J., Kimmel, P. D., & Kieso, D. E. (2010). Financial accounting (7th ed.). Hoboken, NJ: John Wiley & Sons. All electronic materials are available on the student......

Words: 1761 - Pages: 8

Premium Essay

...Comprehensive income can be calculated by summing the net income and other comprehensive income. Other comprehensive income is basically the net effect of accounting transactions, which sidestep the income statement and are identified directly in equity. Examples for such other comprehensive income are gains/losses on available for sale securities, unrecognized actuarial gains/losses, change in revaluation surplus, etc. Accumulated other comprehensive income is the accumulated change in equity (gains/losses) since the start of business due to accounting transactions that are directly accounted for in equity. The general purpose of the statement of comprehensive income helps financial statement users evaluate the past financial performance of a company and provides them a basis for predicting future performances. Financial statement users need this information to assess potential changes in the entities economic resources and its ability to generate cash from those resources. Financial statement users can also use this information to evaluate how any additional resources might be effectively used. This statement requires all income statement items to be reported either as a regular item in the income statement or a special item as other comprehensive income. Income is defined as increases in economic benefits during the accounting period in the form of inflows or enhancements of assets or decreases of liabilities that result in increases in equity, other than those relating......

Words: 1890 - Pages: 8

Premium Essay

...Accrual Basis Of Accounting Over Cash Basis This paper will analyze accounting cash basis and accrual basis. It will also show how they are different.Cash-basis accounting is known to record all transactions. Now when cash tends in changing which means when revenue is received in paying out by the company. A payment or a cash receipt may be in a form of, credit card or even electronic transfer which that item is then paid.Cash basis is mainly used by a smaller businesses in which a creditor may want to understand the financial statements in a easier way. The way cash basis gets used is when a creditor wants to understand if they profit or loss in that company and accuracy of statements if something they don't worry about. When the cash is payment the revenue gets recorded but when it is received then after the expenses follow. Accrual basis accountings known when the revenue is earned, and expenses accrued. In accrual accounting, even if there's no cash changes you must then record all occurred transactions in the book. Like for instance, if one decides to sell on store credit, your transaction must be recorded right then and input it in an accounts receivable account until that payments gets received. Or if you decide to buy good on credit, you have to then right after input that transaction in a accounts payable until that cash is paid out.Accrual basis accounting is known to be used by the large businesses in the United States, and even in some t......

Words: 410 - Pages: 2

Premium Essay

...WHAT IS ACCOUNTING? Identify Communicate What is the purpose of accounting ? Measure Record 9 3 8/13/2014 WHAT IS ACCOUNTING? Accounting information is important because it… Assists decision making Provides information about the past, present and future performance of an entity Measures business activity 10 WHO USES ACCOUNTING DATA? Internal users External users Managers who plan, Investors who make organise and run the decisions to buy, hold or business sell shares e.g., marketing Creditors who evaluate managers, production risks of giving credit and supervisors, chief lending money financial officers, other e.g., suppliers, bankers employees Government and regulatory bodies e.g., ATO, ASIC 11 GENERALLY ACCEPTED ACCOUNTING PRINCIPLES (GAAP) In order to measure, process and communicate financial information, accountants follow rules, principles and standards. These rules, principles and standards are set by International Accounting Standards Board (IASB) Australian Accounting Standards Board (AASB) Financial Reporting Council (FRC) Australian Securities & Investment Commission (ASIC) 12 4 8/13/2014 SOME PRINCIPLES AND ASSUMPTIONS Time period •Economic information can be captured and communicated over short periods of time Monetary unit assumption •Only data that can be expressed in terms of money is included in the accounting records Economic entity assumption •Can be......

Words: 1330 - Pages: 6

Premium Essay

...Management Accounting IEX Prof. Dr. Michael Lederer . Dr © Copyright : Prof. Dr. Michael Lederer Hochschule Furtwangen – Furtwangen University © Copyright : Prof. Dr. Michael Lederer Page 1 Contents overview management accounting A. Introduction and basic concepts A.1 Cost terms A.2. Costing systems and cost allocation A.3 Cost-volume-profit analysis A.4 Operations accounting 5 11 26 63 78 B. The budgeting process B.1 Budgeting B.2 Variance analysis © Copyright : Prof. Dr. Michael Lederer 87 88 114 C. Relevant cost and decision making 136 D. Marketing and pricing decisions 157 © Copyright : Prof. Dr. Michael Lederer Page 2 Recommended literature • • • • • • • • • • Horngren/Datar/Rajan: Cost Accounting. A Managerial Emphasis, Pearson Global Edition Collier: Accounting for Managers, Wiley Horngren/Bhimani/Datar/Foster: Management and Cost Accounting. FT Prentice Hall Atrill & McLaney: Management Accounting for Decision Makers, Pearson Davis/Davis: Managerial Accounting. Wiley Cooke: The McGraw-Hill 36-Hour course in Finance for Non-Financial Managers. McGraw-Hill Bragg: Controller’s Guide to Planning and Controlling Operations. Wiley Roehl-Anderson, Bragg: Controllership - The Work of the Management Accountant. Wiley Blocher/Chen/Lin: Cost Management - A strategic emphasis, McGraw-Hill Professional Dictionary, Accounting; Tax; Banking; German-English/English-German, Schäffer© Copyright : Prof. Dr. Michael Lederer......

Words: 9677 - Pages: 39

Premium Essay

... AN OVERVIW OF CREATIVE ACCOUNTING AND WINDOW DRESSING Introduction: Every organization is expected to operate within the confinement of best practices or core competence at least, which has tendency of leading them to distinctive competence or exceptional practice. Since business operations center basically on finance, firms therefore take the accounting records of their organizations very serious as it determines their stay in industry or extinction from the market (business operations). It is for the purpose of staying in business that firms have devised means to do so. It is necessary therefore to state that firms either do so legally or some do so illegally. This thus, brings one to the concept of creative accounting and window dressing. THE CONCEPT OF CREATIVE ACCOUNTING AND WINDOW-DRESSING Creative Accounting Creative accounting, also called aggressive accounting, Hollywood accounting, earnings management, or cooking the books, is the manipulation of financial numbers, usually within the letter of the law and accounting standards, but very much against their spirit and certainly not providing the “true and fair” view of a company that accounts are supposed to. Creative accounting is almost aliened with tax avoidance. It is such that legal means are used to manipulate the accounts of a firm such that even though they are legal, they can present a false view about the firm’s financial statement. A typical aim of creative accounting will be to inflate profit figures.......

Words: 1289 - Pages: 6

Premium Essay

...Accounting Practices Name: XXXXXXXX oooo Accounting I-ACC100 Professor XXXXXXXXX Date: XXXXXXXXX Accounting Practices The year is 2011, and this country has been nearly crippled financially with the corporate accounting scandals. One of the most famous is the scandal of Enron, Waste Management, WorldCom, Qwest Communications, Health South Corporation, and then the infamous Bernard L. Madoff Investment scandal. The Medoff Ponzi scheme robbed millions of hard working people of the savings. This is considered to be the largest investment fraud ever committed by one person. This all lead to the new and enhanced accounting standards which is called the Sarbanes-Oxley Act of 2002. Analyze the new or enhanced standards for all U.S. public company boards, management, and public accounting firms that the SOX required. The Sarbanes-Oxley Act of 2002 (Pub. L. No. 107-204, 116 Stat. 745) is also known as the Public Company Accounting Reform and Investor protection Act of 2002 and is simply referred to as SOX. This Federal law was passed in response to many corporate scandals which was mentioned in the abstract (Consulting, 2011). The public trust in accounting standards diminished, and everyone was pulling their money out of their investments which initiated the recession we are currently in. With the implementation of SOX the public is slowly regaining their trust on accounting practices, by simply knowing there is oversight. This wide ranging legislation has......

Words: 533 - Pages: 3

Free Essay

...UNIVERSITY OF EDUCATION WINNEBA COLLEGE OF TECHNOLOGY EDUCATION KUMASI NAME : ASSEM GABRIEL AKROFI PROGRAMME : BSc (ACCOUNTING EDUCATION) LEVEL : 100 CLASS : B SUBJECT : ACCOUNTING COURSE CODE : ACC 111 NAME OF LECTURER : J.Y DWOMMOR INDEX NUMBER : 5151010092 QUESTION With the introduction of computer, accounting as an area of studying has out lead its importance because with two or three weeks of training, a computer programmer can prepare financial statement using computer application. A. What extend do you agree or disagree with this statement? B. In not less than two and less than five pages, write an essay on this issue. SOLUTION I disagree with the motion that a computer programmer can prepare financial statement on his own. To set the issue burning, let us consider who an accountant is and the role he or she performs in an organization as compared to a computer programmer. An accountant is anyone who monitors and records the flow of money through a business or an organization. He or she verify the accuracy of all monetary transactions and to make sure that all these are legal and follow correct guidelines. Accountants may choose to work private individuals and help them with their financial decisions, tax returns or other money related issues. The accountant practises accountancy and accounting which is the disclosure, measurement or provision of assurance about financial information which help investors, tax authorities,......

Words: 1379 - Pages: 6

Premium Essay

...Cost & Management Accounting Reporting System -Necessity, Role & Control Framework: An Analysis Management & Cost Accounting Reporting Systems are interwoven in the management processes of all well managed organizations across the globe. The necessity of such reporting systems is going to increase in future as the market-place become highly competitive and organization functions become more complicated and inter-twined. This fact also brings to fore the necessity of a common control framework to monitor this system so that it can contribute effectively and efficiently to the pre-determined organizational goals. What is Cost & Management Accounting Reporting Systems? Cost Accounting Reporting System deals with the process of tracking, measuring, recording and classifying the appropriate allocation of expenditure (financial and non-financial) for the determination of the cost of product or service in an organization and for the presentation of suitably arranged data for the purpose of control and guidance of management ( Horngren et al, 2010). Costs are measured in terms of Direct Costs, Indirect Costs and Overhead / Absorbed Costs. Managers use cost accounting to support decision making to reduce a company's costs of products and services and improve its profitability. Management Accounting Reporting System is concerned with the process of identification, measurement, accumulation, analysis, preparation, interpretation and communication of financial and......

Words: 1912 - Pages: 8

Premium Essay

...Accounting or accountancy is the measurement, processing and communication of financial information about economic entities.[1][2] The modern field was established by the Italian mathematician Luca Pacioli in 1494.[3] Accounting, which has been called the "language of business",[4] measures the results of an organization's economic activities and conveys this information to a variety of users, including investors, creditors, management, and regulators.[5] Practitioners of accounting are known as accountants. The terms 'accounting' and 'financial reporting' are often used as synonyms. Accounting can be divided into several fields including financial accounting, management accounting, auditing, and tax accounting.[6]Accounting information systems are designed to support accounting functions and related activities. Financial accounting focuses on the reporting of an organization's financial information, including the preparation of financial statements, to external users of the information, such as investors, regulators and suppliers;[7] and management accounting focuses on the measurement, analysis and reporting of information for internal use by management.[1][7] The recording of financial transactions, so that summaries of the financials may be presented in financial reports, is known as bookkeeping, of which double-entry bookkeeping is the most common system.[8] Accounting is facilitated by accounting organizations such as standard-setters, accounting firms and......

Words: 279 - Pages: 2

Premium Essay

...The future of the accounting profession will be a period of increased change and continuous development. The industry will require new levels of business flexibility and competition will intensify because new industry entrants will outsource and automate accounting, audit, and tax professionals, especially for routine and lower-value services. Financial service companies, banks, software and Internet firms will soon offer an increasing amount of accounting and tax-related products and services. Outsourcing to lower-cost countries will also continue to grow in the future. India, for example, already attracts global accounting work and other countries are moving into this field. Seeing opportunity, the government has targeted accounting outsourcing as a growth industry. Globalization will require accounting professionals to master new skills, knowledge, and standards as a growing number of clients operate across borders. The U.S. Securities and Exchange Commission has issued a plan to require U.S. companies to issue financial statements to the International Financial Reporting Standards (IFRS) by 2015. This means that practitioners will be required to gain expertise in both the U.S. Generally Accepted Accounting Principles (GAAP) and IFRS reporting standards. In addition to the changes brought by IFRS, other legal requirements will continue to expand as governments at all levels increasingly require accounting professionals to help with agreements. Even accounting......

Words: 713 - Pages: 3

Premium Essay

... THEORY OF ACCOUNTS ACCOUNTING CONCEPTS 1. Which of the following statements is/are true? I. Accounting is a service activity intended to fulfill a useful function in society II. Accounting involves the art of recording, classifying and summarizing transaction and events, and interpreting the results thereof. III. Accounting is an art but not a science IV. Accounting provides quantitative financial information intended to be useful in making economic decisions a. I, II, III, IV c. I, II, IV b. I, II, III d. II, III, IV 2. The branch of accounting concerned with the presentation of financial information primarily for use of third person outside of business enterprise. a. Financial Accounting c. Government Accounting b. Management Accounting d. All of the above 3. Accounting is an art because a. of the existence of a body knowledge governing accounting practice b. of accounting theory c. the necessity of applying creative skill and ability d. None of the above 4. Financial accounting is the branch of accounting that focuses on a. special purpose reports of financial position and results of operations b. financial statements c. the various need of statement users d. general purpose reports of financial position and results of operations 5. General-purpose information is a. not intended to satisfy the specialized needs of individual users. b. intended to satisfy the specialized needs of individual users c. not intended to satisfy the...

Words: 1052 - Pages: 5

Premium Essay

...Pre-Test 1. Financial accounting is an information system that: tracks and records an organization's business transactions 2. Jeff Brown is the sole owner of Shoe Central, a small shoe shop. One day, he buys a used car for his personal use, and pays $2,000 from his checking account. The fact that this transaction has no effect on Shoe Central's financial accounts is an application of the: 3. Jeff Brown, owner of Shoe Central, a small shoe store, buys cleaning supplies for his store once every six months. The fact that his accountant writes off, or records as expenses, the full cost of the cleaning supplies when they are purchased, rather than each monthly accounting period as they are used, is an application of the: 4. Oliver Enterprises buys a new stamping machine for $10,000 at an auction held by a company in bankruptcy proceedings. The machine is a very good deal; Oliver would have paid about $12,000 to buy it in the open market. Which of the following statements best describes the application of the historical cost concept? 5. Tournas Sports receives a special order for 100 team jerseys. The customer pays the full amount, $2,000, at the time of the order. The jerseys will be delivered in two weeks. Choose the statement that best reflects the application of the revenue recognition concept at the time of the order: 6. On April 30, Jemison Engineering receives a special order for a swing set, to be delivered to the customer in a month's time. Jemison...

Words: 13926 - Pages: 56