Exam Body

Year

Subject

Paper Type

POST UTME LAUTECH 2022 Mathematics | Objective

Are you preparing for POST UTME LAUTECH 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 determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

Solve the equation \( \frac{dy}{dx} = \frac{2x}{y} \) given that ( y(1) = 2 ).

Correct A. y = 2x^2

B. y = x^2

C. y = 2x

D. y = x

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

Find the equation of the circle with center ( (2, 3) ) and radius 4.

Correct A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

B. \( x - 2 \)^2 + \( y - 3 \)^2 = 4

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

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

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

Solve the system of equations: \( x + y = 2 \) and \( x - y = 1 \).

Correct A. x = 1, y = 1

B. x = 1, y = 2

C. x = 2, y = 1

D. x = 2, y = 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

Determine the value of \( lim_{x \to 0} \frac{\sin x}{x^2} \) u\sing L'Hopital's rule.

A. 0

B. 1

C. -1

Correct D. ∞

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ) in the form \( x - h \ \)^2 + \( y - k \)^2 = r^2 ).

Correct A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

B. \( x - 2 \)^2 + \( y - 3 \)^2 = 25

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 36

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 49

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

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

Correct A. \( -∞, -1 \) ∪ (3, ∞)

B. \( -∞, -3 \) ∪ (1, ∞)

C. \( -∞, -1 \) ∪ (1, ∞)

D. \( -∞, 1 \) ∪ (3, ∞)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

Find the sum of the first 5 terms of the geometric series ( 2, 6, 18, ... ).

A. 62

Correct B. 64

C. 66

D. 68

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A binary operation ( ast ) is defined as \( x ast y = xy + 1 \). Find the value of ( 2 ast 3 ).

A. 7

Correct B. 8

C. 9

D. 10

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula. What is the value of ( x )?

A. 1

Correct B. -2

C. 3

D. -3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If they sell 30 more whole wheat loaves than white bread loaves, and they sell a total of 240 whole wheat loaves, how many white bread loaves do they sell?

A. 120

Correct B. 150

C. 180

D. 200

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

Find the value of ( x ) in the equation \( 2x + 5 = 11 \).

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A rec\tangular garden measures 15 meters by 8 meters. If a path that is 2 meters wide is built around the garden, what is the area of the path?

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

Solve the inequality \( 2x - 5 > 9 \).

Correct A. x > 7

B. x < 7

C. x > 2

D. x < 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

Determine the volume of the frustum of a cone with height 6cm, lower base radius 4cm, and upper base radius 2cm.

A. 24\pi cm^3

Correct B. 48\pi cm^3

C. 60\pi cm^3

D. 72\pi cm^3

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

Find the equation of the \tangent to the curve y = \frac{1}{x+1} at the point where x = -2.

Correct A. y = -2x - 5

B. y = 2x - 3

C. y = -\frac{1}{2}x + 1

D. y = \frac{1}{2}x - 1

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A sequence is defined by the recurrence relation a_n = 2a_{n-1} + 3. If a_1 = 2, find the sum of the first 5 terms of the sequence.

Correct A. 2 + 7 + 17 + 37 + 79

B. 2 + 5 + 13 + 29 + 61

C. 2 + 7 + 15 + 31 + 63

D. 2 + 5 + 13 + 27 + 55

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

A histogram has a mean of 25 and a s\tandard deviation of 5. If the histogram has 10 bars, find the sum of the products of the heights of the bars and their respective midpoints.

A. 2500

Correct B. 3000

C. 3500

D. 4000

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A circle has a radius of 4cm. If a chord is drawn from the center of the circle to a point on the circumference, find the length of the chord.

Correct A. 8cm

B. 6cm

C. 4cm

D. 2cm

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

Find the equation of the circle with center \( -2, 3 \) and radius 4.

Correct A. \boxed{\( x + 2 \)^2 + \( y - 3 \)^2 = 16}

B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16

C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16

D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

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

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

B. \( -2, 2 \)

C. \( -\infty, -2 \) \cup (0, 2)

D. \( -\infty, 0 \) \cup \( 2, \infty \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

Find the area under the curve y = \sin x from x = 0 to x = \frac{\pi}{2}.

Correct A. \boxed{1}

B. \frac{\pi}{2}

C. \frac{1}{2}

D. \frac{\pi}{4}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

Solve the system of equations \begin{align*} x + y &= 2 \ x - 2y &= 3 \end{align*}

Correct A. \boxed{x = 1, y = 1}

B. x = 2, y = 0

C. x = 0, y = 2

D. x = -1, y = 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

Find the value of \log_{10} (1000).

Correct A. 3

B. 2

C. 4

D. 5

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support