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Subject

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POST UTME MOUNTAIN TOP UNIVERSITY 2024 Mathematics | Objective

Are you preparing for POST UTME MOUNTAIN TOP UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the value of ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.

Correct A. 1

B. -1

C. 2

D. -2

Correct Answer: A

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Question 2

A particle moves in a straight line with a velocity of ( v(t) = 2t + 5 ) m/s. Find the acceleration of the particle at time \( t = 2 \) seconds.

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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Question 3

Solve the inequality \( 2x^2 - 5x + 3 > 0 \) u\sing the quadratic formula.

A. x < 1

Correct B. x > 1

C. x < 3

D. x > 3

Correct Answer: B

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Question 4

A set ( A ) contains the elements ( { 1, 2, 3, 4, 5 } ). Find the number of subsets of ( A ) that contain exactly two elements.

Correct A. 10

B. 20

C. 30

D. 40

Correct Answer: A

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Question 5

A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first five terms of the sequence.

A. 15

Correct B. 25

C. 35

D. 45

Correct Answer: B

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Question 6

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{pmatrix} ].

A. 23

Correct B. 25

C. 27

D. 29

Correct Answer: B

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Question 7

Solve the system of linear equations u\sing Cramer's rule: [ egin{cases} x + 2y - z = 5 \ 3x - 2y + 4z = 2 \ 2x + 3y - z = 3 \end{cases} ].

Correct A. x = 1, y = 2, z = 3

B. x = 2, y = 3, z = 1

C. x = 3, y = 1, z = 2

D. x = 4, y = 2, z = 1

Correct Answer: A

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Question 8

Find the equation of the line pas\sing through the points (2, 3) and (4, 5).

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x - 2

D. y = x + 2

Correct Answer: A

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Question 9

Find the volume of the solid formed by revolving the region bounded by the curves y = x^2 and y = 4 - x^2 about the x-axis.

A. 32π/3

Correct B. 64π/3

C. 128π/3

D. 256π/3

Correct Answer: B

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Question 10

Solve the inequality |x - 2| > 3.

Correct A. x < -1 or x > 5

B. x < 1 or x > 5

C. x < -1 or x > 4

D. x < 1 or x > 4

Correct Answer: A

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Question 11

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].

A. 1

Correct B. -1

C. 2

D. 3

Correct Answer: B

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Question 12

A survey of 100 students found that 60 students liked reading, 40 students liked writing, and 20 students liked both. What is the probability that a randomly selected student likes reading or writing?

Correct A. 0.6

B. 0.7

C. 0.8

D. 0.9

Correct Answer: A

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Question 13

Solve the equation [ x^2 + 4x + 4 = 0 ] u\sing the quadratic formula.

Correct A. 0

B. -2

C. 2

D. -4

Correct Answer: A

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Question 14

Find the mean of the data set [ 2, 4, 6, 8, 10 ].

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 15

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

A. ₦1000

Correct B. ₦1250

C. ₦1500

D. ₦1750

Correct Answer: B

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Question 16

Solve the inequality \( \frac{x}{x-2} > 0 \) for ( x in mathbb{R} setminus {2} ).

Correct A. \( -\infty, 2 \) \cup \( 2, \infty \)

B. \( -\infty, 2 \) \cup (2, 4)

C. (2, 4)

D. \( -\infty, 2 \) \cup \( 4, \infty \)

Correct Answer: A

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Question 17

Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = x + 1

D. y = x - 1

Correct Answer: A

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Question 18

A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.

A. 15

B. 20

Correct C. 25

D. 30

Correct Answer: C

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Question 19

Solve the equation \( x^2 + 4x + 4 = 0 \).

Correct A. x = -2

B. x = 2

C. x = -1

D. x = 1

Correct Answer: A

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Question 20

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. 50.24 cm^2

B. 50.24 m^2

C. 50.24 mm^2

D. 50.24 km^2

Correct Answer: A

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Question 21

Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 4 \) from \( x = 0 \) to \( x = 2 \).

Correct A. \( \frac{1}{2} \)

B. ( 3 )

C. ( 4 )

D. ( 5 )

Correct Answer: A

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Question 22

Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).

A. \( x = 2 \)

Correct B. \( x = 3 \)

C. \( x = 4 \)

D. \( x = 5 \)

Correct Answer: B

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Question 23

Find the value of \( \log_{10} \( x^2 \ \) ) given that \( \log_{10} x = 2 \).

A. ( 4 )

B. ( 5 )

Correct C. ( 6 )

D. ( 7 )

Correct Answer: C

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Question 24

Solve for ( x ) in the equation \( \frac{x^2 - 4}{x + 2} = 2 \).

Correct A. \( x = 2 \)

B. \( x = -2 \)

C. \( x = 4 \)

D. \( x = -4 \)

Correct Answer: A

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Question 25

Find the area of the triangle with vertices ( (0, 0) ), ( (2, 0) ), and ( (1, 3) ).

A. ( 3 )

B. ( 4 )

Correct C. ( 5 )

D. ( 6 )

Correct Answer: C

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