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POST UTME LASU 2025 Mathematics | Objective

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Question 1 View Details

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

A. $\frac{1}{2} \sqrt{1 - x^2}$

B. $\frac{x}{1 - x^2 \$^{$3/2$}} )

Correct C. $\frac{1}{1 - x^2 \$^{$3/2$}} )

D. $\frac{1}{2} 1 - x^2 \$^{$-3/2$} )

Correct Answer: C

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Question 2 View Details

A box with a square base has a volume of 27 cubic meters. If the height of the box is 3 meters, find the length of each side of the base.

A. 3 meters

Correct B. 4 meters

C. 5 meters

D. 6 meters

Correct Answer: B

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Question 3 View Details

A random experiment consists of rolling a fair six-sided die. If the number rolled is even, the die is rolled again. If the number rolled is odd, the die is rolled three more times. What is the probability that the number rolled is greater than 4?

A. $1/2$

B. $1/3$

C. $2/3$

Correct D. $3/4$

Correct Answer: D

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Question 4 View Details

A histogram of exam scores has a mean of 80 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is between 70 and 90.

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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Question 5 View Details

Find the determinant of the matrix $egin{bmatrix} 2 & 1 & 1 \ 4 & 3 & 2 \ 1 & 2 & 3 \end{bmatrix}$.

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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Question 6 View Details

Determine the equation of the line passing through the points (2,3) and (4,5).

A. $y = 2x - 1$

Correct B. $y = 2x + 1$

C. $y = x + 2$

D. $y = x - 2$

Correct Answer: B

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Question 7 View Details

Solve for x in the equation $\log_{10} x^2 \$$= 4 ).$

A. $x = 10\^2$

Correct B. $x = 10\^4$

C. $x = 10\^{-2}$

D. $x = 10\^{-4}$

Correct Answer: B

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Question 8 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. $x - 2$^2 + $y + 3$^$2 = 16$

C. $x + 2$^2 + $y + 3$^$2 = 16$

D. $x - 2$^2 + $y - 3$^$2 = 16$

Correct Answer: A

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Question 9 View Details

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

Correct A. $-∞, -1$ ∪ (3, ∞)

B. $-∞, 1$ ∪ (3, ∞)

C. $-∞, -1$ \cup $-3, ∞$\)

D. $-∞, 1$ \cup $-3, ∞$\)

Correct Answer: A

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Question 10 View Details

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

Correct A. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366

B. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

C. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294

D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366

Correct Answer: A

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Question 11 View Details

Find the value of x in the equation $\sin^2 x \$ + \$\cos^2(x)$ = 1 ) if $$1x \$ = $\frac{3}{5}$\) ).

Correct A. $\frac{4\pi}{3} \$

B. $\frac{5\pi}{6} \$

C. $\frac{7\pi}{6} \$

D. $\frac{11\pi}{6} \$

Correct Answer: A

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Question 12 View Details

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

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 13 View Details

Find the area of the triangle with vertices ( A(2,3) ), ( B(4,5) ), and ( C(6,7) ).

Correct A. $10 \$

B. $15 \$

C. $20 \$

D. $25 \$

Correct Answer: A

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Question 14 View Details

Find the derivative of the function ( f(x) = $3x^2 + 2x - 5$ ) using the power rule.

Correct A. $6x + 2 \$

B. $6x - 2 \$

C. $6x + 1 \$

D. $6x - 1 \$

Correct Answer: A

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Question 15 View Details

Find the volume of the cylinder with radius 4 and height 6.

Correct A. $96\pi \$

B. $192\pi \$

C. $288\pi \$

D. $384\pi \$

Correct Answer: A

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Question 16 View Details

In the diagram below, the equation of the circle is given by $x - h \$^2 + $y - k$^$2 = r\^2$ ). If the center of the circle is at ( (h,$k) = (2$, 3) ) and the radius is $r = 4$, find the equation of the circle.

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 17 View Details

Solve the inequality $\frac{x}{2} - 3 > 7$ for ( x ).

Correct A. $x > 24$

B. $x < -24$

C. $x > 20$

D. $x < 20$

Correct Answer: A

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Question 18 View Details

Find the volume of the cylinder with radius $r = 6$ and height $h = 10$.

Correct A. ( 1800pi )

B. ( 1200pi )

C. ( 900pi )

D. ( 600pi )

Correct Answer: A

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Question 19 View Details

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

Correct A. $x = -2$

B. $x = -3$

C. $x = 2$

D. $x = 3$

Correct Answer: A

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Question 20 View Details

Find the area of the triangle with base $b = 8$ and height $h = 12$.

Correct A. ( 48 )

B. ( 60 )

C. ( 72 )

D. ( 80 )

Correct Answer: A

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Question 21 View Details

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

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

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

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

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

Correct Answer: B

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Question 22 View Details

Find the surface area of the sphere with radius $r = 5$.

Correct A. ( 100pi )

B. ( 50pi )

C. ( 25pi )

D. ( 10pi )

Correct Answer: A

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Question 23 View Details

Solve the system of linear equations $egin{cases} x + y = 4 \ 2x - y = 3 \end{cases}$.

A. $x = 2, y = 2$

B. $x = 1, y = 3$

C. $x = 3, y = 1$

D. $x = 4, y = 0$

Correct Answer: VIEW ANSWER

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Question 24 View Details

Find the volume of the solid formed by revolving the region bounded by $y = x\^2$, $y = 0$, and $x = 2$ about the x-axis.

A. 32\pi

B. 64\pi

Correct C. 128\pi

D. 256\pi

Correct Answer: C

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Question 25 View Details

Solve the equation $\frac{1}{x^2}$\)\) + $\frac{1}{x+1 ^2}$\) = $\frac{1}{4}$\) for x.

A. -2

Correct B. -1

C. 1

D. 2

Correct Answer: B

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