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POST UTME LASU 2022 Mathematics | Objective

Are you preparing for POST UTME LASU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 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 $\int_{0}^{\pi} \frac{1}{1+\sin^2 x} dx$.

Correct A. \frac{\pi}{2}

B. \frac{\pi}{4}

C. \frac{\pi}{3}

D. \frac{\pi}{1}

Correct Answer: A

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Question 2

Solve the inequality $\frac{x^2-4x-5}{x^2-4x+4} > 0$.

Correct A. $ -\infty, -1 $ \cup $ 1, \infty $

B. $ -\infty, -1 $ \cup (1, 2)

C. $ -\infty, 1 $ \cup $ 2, \infty $

D. $ -\infty, 1 $ \cup $ 2, \infty $

Correct Answer: A

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Question 3

Find the area of the region bounded by the curves $y = x^2$ and $y = 2x$.

Correct A. \frac{4}{3}

B. \frac{2}{3}

C. \frac{1}{3}

D. \frac{1}{2}

Correct Answer: A

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Question 4

A right circular cone has a height of 20 cm and a base radius of 10 cm. Find the volume of the cone.

Correct A. 2000\pi

B. 1000\pi

C. 500\pi

D. 2500\pi

Correct Answer: A

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Question 5

A company produces two products, A and B. The profit on product A is $\frac{1}{2}$x and the profit on product B is $\frac{1}{3}$x. If the total profit is $\frac{5}{6}$x, find the value of x.

Correct A. 30

B. 60

C. 90

D. 120

Correct Answer: A

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Question 6

A circle has a radius of 5 cm. Find the area of the circle u\sing the formula $ A = pi r^2 $.

Correct A. 25\pi

B. 50\pi

C. 75\pi

D. 100\pi

Correct Answer: A

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Question 7

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. $ x < -1 $ or $ x > \frac{3}{2} $

B. $ x < -1 $ or $ x < \frac{3}{2} $

C. $ x > -1 $ or $ x > \frac{3}{2} $

D. $ x > -1 $ or $ x < \frac{3}{2} $

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 = \frac{1}{2}x + \frac{5}{2} $

B. $ y = \frac{1}{2}x - \frac{5}{2} $

C. $ y = 2x - 1 $

D. $ y = 2x + 1 $

Correct Answer: A

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Question 9

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the volume of the prism.

Correct A. 72

B. 96

C. 108

D. 120

Correct Answer: A

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Question 10

Solve the equation $ x^2 + 4x + 4 = 0 $.

Correct A. $ x = -2 $

B. $ x = -1 $

C. $ x = 1 $

D. $ x = 2 $

Correct Answer: A

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Question 11

Find the value of x in the equation $ \frac{x}{2} + 5 = 11 $.

Correct A. 8

B. 10

C. 12

D. 14

Correct Answer: A

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Question 12

Solve the quadratic equation $ x^2 + 4x + 4 = 0 $.

A. 0

Correct B. -2

C. -4

D. 2

Correct Answer: B

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Question 13

Find the value of \sin(2θ) given that \sin(θ) = 3/5.

A. 12/25

Correct B. 24/25

C. 36/25

D. 48/25

Correct Answer: B

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Question 14

Find the determinant of the matrix $ \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} $.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 15

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. 1/5

B. 1/8

Correct C. 3/8

D. 5/8

Correct Answer: C

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Question 16

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{pmatrix} ].

A. 20

B. 22

Correct C. 24

D. 26

Correct Answer: C

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Question 17

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?

A. 0.68

B. 0.73

Correct C. 0.83

D. 0.93

Correct Answer: C

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Question 18

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

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 19

Find the derivative of the function [ f(x) = 3x^2 + 2x - 5 ] u\sing the power rule.

Correct A. 6x + 2

B. 6x - 2

C. 3x^2 + 2

D. 3x^2 - 2

Correct Answer: A

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Question 20

A binary operation [ ast ] is defined as [ a ast b = a^2 + b^2 ]. Find the value of [ 2 ast 3 ].

A. 13

B. 14

Correct C. 15

D. 16

Correct Answer: C

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Question 21

Find the equation of the circle pas\sing through the points (2, 3), (4, 5), and (6, 7).

Correct A. x^2 + y^2 - 10x - 12y + 35 = 0

B. x^2 + y^2 - 12x - 10y + 35 = 0

C. x^2 + y^2 - 8x - 14y + 25 = 0

D. x^2 + y^2 - 14x - 8y + 25 = 0

Correct Answer: A

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Question 22

Solve the inequality 3x^2 - 2x - 1 > 0.

Correct A. x < -1/3 or x > 1/3

B. x < -1/3 or x < 1/3

C. x > -1/3 or x < 1/3

D. x > -1/3 or x > 1/3

Correct Answer: A

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Question 23

Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, ...

A. 55

Correct B. 60

C. 65

D. 70

Correct Answer: B

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Question 24

Solve the quadratic equation x^2 + 4x + 4 = 0.

Correct A. x = -2

B. x = -1

C. x = 0

D. x = 1

Correct Answer: A

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Question 25

Find the mean of the numbers 2, 4, 6, 8, 10.

A. 6

Correct B. 7

C. 8

D. 9

Correct Answer: B

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