POST UTME AAUA 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of \sin(2x) given that \cos(x) = \( \frac{3}{5} \) and \sin(x) = \( \frac{4}{5} \).
A. \( \sin\( 2x \ \) = \frac{12}{25} \)
B. \( \sin\( 2x \ \) = \frac{16}{25} \)
C. \( \sin\( 2x \ \) = \frac{20}{25} \)
D. \( \sin\( 2x \ \) = \frac{24}{25} \)
Question 2
Convert the decimal number 0.75 to a \fraction in simplest form.
A. \frac{1}{4}
B. \frac{2}{4}
C. \frac{3}{4}
D. \frac{4}{4}
Question 3
A set of 5 consecutive integers has a median of 9. What is the sum of the integers?
A. 45
B. 50
C. 55
D. 60
Question 4
Solve the equation: \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 5
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24π cm³
B. 48π cm³
C. 96π cm³
D. 192π cm³
Question 6
Convert the decimal number 0.75 to a \fraction in its simplest form.
A. \( \frac{3}{4} \ \)
B. \( \frac{1}{4} \ \)
C. \( \frac{3}{2} \ \)
D. \( \frac{1}{2} \ \)
Question 7
Find the volume of the solid formed by revolving the region bounded by the curves \( y = x^2 \) and \( y = 4 \) about the x-axis.
A. \frac{32}{3} \pi
B. \frac{64}{3} \pi
C. \frac{96}{3} \pi
D. \frac{128}{3} \pi
Question 8
Solve the inequality: \( 2x - 5 > 3 \).
A. x > 4
B. x > 3
C. x > 2
D. x > 1
Question 9
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
A. \( V = 72 \text{ cm}^3 \ \)
B. \( V = 48 \text{ cm}^3 \ \)
C. \( V = 36 \text{ cm}^3 \ \)
D. \( V = 24 \text{ cm}^3 \ \)
Question 10
Find the area under the curve y = 2x^2 + 3x - 1 from x = 0 to x = 2.
A. 13
B. 15
C. 17
D. 19
Question 11
A rec\tangular solid has a length of 12 cm, a width of 8 cm, and a height of 6 cm. Find the volume of the solid.
A. 576 cm^3
B. 768 cm^3
C. 864 cm^3
D. 960 cm^3
Question 12
A company produces x units of a product, where x is a multiple of 5. If the company produces 25 units, what is the value of x?
A. 20
B. 25
C. 30
D. 35
Question 13
In a geometric sequence with first term 2 and common ratio 3, find the sum of the first 5 terms.
A. 2 + 6 + 18 + 54 + 162
B. 2 + 6 + 18 + 54 + 162 + 486
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374
Question 14
In the diagram below, the graph of a quadratic function is shown. If the vertex of the parabola is at \( -2, 3 \ \) ), find the equation of the axis of symmetry.
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 15
In a random experiment, two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find the probability that both events A and B occur.
A. 0.24
B. 0.36
C. 0.48
D. 0.64

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