POST UTME ESUT 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 2) ).
A. \( \frac{1}{2} \times 3 \times 2 \)
B. \( \frac{1}{2} \times 3 \times 3 \)
C. \( \frac{1}{2} \times 2 \times 3 \)
D. \( \frac{1}{2} \times 2 \times 2 \)
Question 2
Find the value of \( \sin 60^circ \).
A. \( \frac{1}{2} \)
B. \( \frac{\sqrt{3}}{2} \)
C. \( \frac{1}{\sqrt{3}} \)
D. \( \frac{\sqrt{3}}{\sqrt{2}} \)
Question 3
A circle has a radius of 4 cm. Find the area of the circle.
A. \( pi \times 4^2 \)
B. \( 2 \times pi \times 4 \)
C. \( pi \times 2^2 \)
D. \( 2 \times pi \times 2 \)
Question 4
A vector α = 2i + 3j is multiplied by a scalar k. If the magnitude of the resulting vector is 6, what is the value of k?
A. 2
B. 3
C. 4
D. 6
Question 5
Solve the trigonometric equation: φ = 2\sin(x) + 3\cos(x). If the solution is x = π/6, what is the value of φ?
A. 1
B. 2
C. 3
D. 4
Question 6
A random experiment consists of rolling a fair six-sided die. If the outcome is even, a second die is rolled. What is the probability that the sum of the two dice is 7?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 7
Determine the mean of the following dataset: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 6
B. 8
C. 10
D. 12
Question 8
Find the equation of the line pas\sing through the points (1, 2) and (3, 4):
A. \( y = \frac{2}{1}x + 0 \)
B. \( y = \frac{2}{1}x + 1 \)
C. \( y = \frac{2}{1}x - 1 \)
D. \( y = \frac{2}{1}x + 2 \)
Question 9
Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. \( x = 10^2 \)
B. \( x = 10^4 \)
C. \( x = 10^{-2} \)
D. \( x = 10^{-4} \)
Question 10
Find the volume of the cylinder with radius \( r = 4 \) cm and height \( h = 10 \) cm.
A. ( 160 pi ) cm\( ^3 \)
B. ( 200 pi ) cm\( ^3 \)
C. ( 240 pi ) cm\( ^3 \)
D. ( 320 pi ) cm\( ^3 \)
Question 11
A die is rolled twice. What is the probability that the sum of the two numbers is 7?
A. \frac{1}{6}
B. \frac{1}{12}
C. \frac{1}{18}
D. \frac{1}{24}
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \):
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 \( x < \frac{3}{2} \)
Question 13
Solve for ( x ) in the equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)
D. \( \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \)
Question 15
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24 cm^2
B. 50.24 m^2
C. 50.24 mm^2
D. 50.24 km^2

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