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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2020 Mathematics | Objective

Prepare for your exams with POST UTME JOSEPH AYO BABALOLA UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

Find the area under the curve $y = \frac{1}{2}x^2$ from $x = 0$ to $x = 4$.

Correct A. ( 8 )

B. ( 16 )

C. ( 32 )

D. ( 64 )

Correct Answer: A

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Question 2 View Details

Solve for ( x ) in the equation $\sin^2 x + \cos^2 x = 1$.

Correct A. $x = \frac{\pi}{4}$

B. $x = \frac{3\pi}{4}$

C. $x = \frac{\pi}{2}$

D. $x = \frac{5\pi}{4}$

Correct Answer: A

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Question 3 View Details

Find the derivative of the function ( f(x) = $\frac{1}{x^2}$\)\) ) using the chain rule.

Correct A. ( f'$(x) = -$$\frac{2}{x^3}$\)\) )

B. ( f'$(x) =$$\frac{2}{x^3}$\)\) )

C. ( f'$(x) = -$$\frac{1}{x^3}$\)\) )

D. ( f'$(x) =$$\frac{1}{x^3}$\)\) )

Correct Answer: A

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Question 4 View Details

Solve the system of equations using matrices:

Correct A. $x = 2, y = 3$

B. $x = 3, y = 2$

C. $x = 4, y = 5$

D. $x = 5, y = 4$

Correct Answer: A

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Question 5 View Details

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

Correct A. ( 0 )

B. ( 1 )

C. ( 2 )

D. ( 3 )

Correct Answer: A

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Question 6 View Details

Find the derivative of the function ( f(x) = $\frac{x^2 + 2x - 3}{x^2 - 4}$\)\) ) using the quotient rule.

A. $\frac{2x + 2 x^2 - 4$ \ - $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

B. $\frac{2x + 2 x^2 - 4$ \ + $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

Correct C. $\frac{2x + 2 x^2 - 4$ \ - $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

D. $\frac{2x + 2 x^2 - 4$ \ + $x^2 + 2x - 3$ (2x)}{ $x^2 - 4$ ^2}\)\) )

Correct Answer: C

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Question 7 View Details

A circle has a radius of 5 units. Find the equation of the circle in standard form.

Correct A. $x^2 + y^2 = 25$

B. $x^2 + y^2 = 25$

C. $x^2 - y^2 = 25$

D. $x^2 + y^2 = 25$

Correct Answer: A

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Question 8 View Details

Find the area under the curve $y = x^2 + 2x - 3$ from $x = 0$ to $x = 2$.

Correct A. $\frac{14}{3}$

B. $\frac{14}{3}$

C. $\frac{14}{3}$

D. $\frac{14}{3}$

Correct Answer: A

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Question 9 View Details

Find the derivative of the function ( f(x) = $\frac{1}{x^2 + 1}$\)\) ) using the chain rule.

Correct A. $-\frac{2x}{x^2 + 1$ \ ^2}\)\) )

B. $\frac{2x}{x^2 + 1$ \ ^2}\)\) )

C. $-\frac{2x}{x^2 + 1$ \ ^2}\)\) )

D. $\frac{2x}{x^2 + 1$ \ ^2}\)\) )

Correct Answer: A

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Question 10 View Details

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

Correct A. $y = x + 1$

B. $y = x - 1$

C. $y = x + 1$

D. $y = x - 1$

Correct Answer: A

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Question 11 View Details

Solve for x in the equation $\sin^2 x \$ + \$\cos^2(x)$ = 1 ) using the identity $\sin^2 x \$ + \$\cos^2(x)$$= 1 ).$

Correct A. $x =$$\frac{\pi}{2}$\)

B. $x =$$\frac{\pi}{4}$\)

C. $x =$$\frac{3\pi}{4}$\)

D. $x =$$\frac{5\pi}{4}$\)

Correct Answer: A

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Question 12 View Details

A histogram of exam scores is shown below. What is the mean score of the exam?

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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Question 13 View Details

Solve the quadratic equation $x^2 + 5x + 6 = 0$ using the quadratic formula.

A. $x = -2$

Correct B. $x = -3$

C. $x = 2$

D. $x = 3$

Correct Answer: B

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Question 14 View Details

A circle has a radius of 4 cm. What is the area of the circle?

A. 50\pi

Correct B. 100\pi

C. 200\pi

D. 300\pi

Correct Answer: B

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Question 15 View Details

A car travels from city A to city B at an average speed of 60 $km/h$. If the distance between the two cities is 240 km, how long does the trip take?

A. 4 hours

Correct B. 6 hours

C. 8 hours

D. 10 hours

Correct Answer: B

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Question 16 View Details

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 12155

B. 12345

C. 12567

D. 12890

Correct Answer: A

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Question 17 View Details

A histogram of exam scores has a mean of 75 and a standard deviation of 10. What is the probability that a randomly selected score is between 60 and 90?

A. 0.68

Correct B. 0.72

C. 0.76

D. 0.80

Correct Answer: B

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Question 18 View Details

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

Correct A. x < -2 or $x > 2$

B. x > -2 or $x < 2$

C. x < -2 or $x = 2$

D. x > -2 or x = -2

Correct Answer: A

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Question 19 View Details

A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?

A. $1/2$

Correct B. $1/3$

C. $2/3$

D. $1/6$

Correct Answer: B

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Question 20 View Details

Find the area under the curve $y = x\^2$ from $x = 0$ to $x = 4$.

Correct A. 32

B. 64

C. 16

D. 128

Correct Answer: A

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Question 21 View Details

Given that $\log_{10} x^2 \$$= 4 )$, find the value of ( x ) using the change of base formula.

Correct A. 10

B. 20

C. 40

D. 80

Correct Answer: A

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Question 22 View Details

A histogram of exam scores is shown below. What is the mean score of the exam?

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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Question 23 View Details

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

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

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

C. $x - 4 \$^2 + $y - 3$^$2 = 16$ )

D. $x - 2 \$^2 + $y - 4$^$2 = 16$ )

Correct Answer: A

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Question 24 View Details

A vector ( mathbf{a} ) has magnitude ( 5 ) and direction $60^\circ$ counterclockwise from the positive x-axis. Find the vector ( mathbf{a} ).

Correct A. $5$160^\circ \$ + 5\sin$60^\circ$ )

B. $5$160^\circ \$ - 5\sin$60^\circ$ )

C. $5$160^\circ \$ + 5\cos$60^\circ$ )

D. $5$160^\circ \$ - 5\cos$60^\circ$ )

Correct Answer: A

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Question 25 View Details

Two events ( A ) and ( B ) are independent. If ( P(A) = 0.3 ) and ( P(B) = 0.4 ), find $P A \cap B \$ ).

Correct A. 0.12

B. 0.24

C. 0.36

D. 0.48

Correct Answer: A

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