Exam Body

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Subject

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POST UTME SUMMIT UNIVERSITY 2021 Mathematics | Objective

Are you preparing for POST UTME SUMMIT UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the volume of the frustum of a cone with height 8 cm, lower base radius 4 cm, and upper base radius 2 cm.

Correct A. 64\pi cm^3

B. 128\pi cm^3

C. 256\pi cm^3

D. 512\pi cm^3

Correct Answer: A

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Question 2

The equation of a circle is given by $ x^2 + y^2 + 4x - 6y + 9 = 0 $. Find the coordinates of the center of the circle.

Correct A. $ -2, 3 $

B. $ 2, -3 $

C. $ -3, 2 $

D. $ 3, -2 $

Correct Answer: A

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Question 3

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

Correct A. $ -\infty, -1 $ \cup $ 3, \infty $

B. $ -\infty, 1 $ \cup $ 3, \infty $

C. $ -\infty, -3 $ \cup $ 1, \infty $

D. $ -\infty, 3 $ \cup $ 1, \infty $

Correct Answer: A

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Question 4

Find the mean of the numbers 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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Question 5

The sum of the first n terms of an arithmetic progression is given by $ S_n = \frac{n}{2} \( 2a + (n - 1 \ $d) ). Find the value of d if a = 2 and S_n = 120.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 6

Find the value of $\frac{d}{dx}\left$ \frac{1}{x^2}\right $$.

Correct A. -\frac{2}{x^3}

B. \frac{2}{x^3}

C. -\frac{1}{x^3}

D. \frac{1}{x^3}

Correct Answer: A

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Question 7

Solve the inequality $|x-2|>3$.

Correct A. $ -\infty, -1 $ \cup $ 5, \infty $

B. $ -\infty, 1 $ \cup $ 5, \infty $

C. $ -\infty, -1 $ \cup (2, 5)

D. $ -\infty, 1 $ \cup (2, 5)

Correct Answer: A

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Question 8

Find the equation of the \tangent line to the curve $y=x^2+2x-3$ at the point $(1, 2)$.

Correct A. y = 3x - 1

B. y = 3x + 1

C. y = x + 1

D. y = x - 1

Correct Answer: A

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Question 9

Solve the system of equations \n\begin{align*} \n 2x+y &= 4, \n 3x-2y &= 5. \n\end{align*}

Correct A. (1, 2)

B. (2, 1)

C. (3, 4)

D. (4, 3)

Correct Answer: A

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Question 10

Find the area of the triangle with vertices $(0, 0), (3, 0),$ and $(0, 2)$.

Correct A. 6

B. 8

C. 10

D. 12

Correct Answer: A

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Question 11

Determine the value of x in the equation $ \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2} $.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 12

A binary operation $ * $ on the set of real numbers is defined as $ a*b = ab + 2 $. Find the value of $ 2*3 $.

A. 8

Correct B. 10

C. 12

D. 14

Correct Answer: B

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Question 13

Solve the inequality $ \frac{x-1}{x+1} < 0 $.

A. $ -1, 1 $

Correct B. $ -1, 0 $ U (1, ∞)

C. $ -∞, -1 $ U (0, 1)

D. $ -∞, ∞ $ - $ -1, 1 $

Correct Answer: B

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Question 14

Find the derivative of the function ( f(x) = \sqrt{2x+1} ).

A. $ \frac{1}{\sqrt{2x+1}} $

Correct B. $ \frac{1}{\( 2x+1 \ $^{\frac{3}{2}}} )

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

D. $ \frac{1}{\( 2x+1 \ $^{\frac{2}{3}}} )

Correct Answer: B

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Question 15

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

Correct A. $ x=3, y=1 $

B. $ x=1, y=3 $

C. $ x=2, y=2 $

D. $ x=4, y=0 $

Correct Answer: A

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Question 16

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. 12

Correct B. 14

C. 16

D. 18

Correct Answer: B

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Question 17

Let $ mathbf{a} = egin{pmatrix} 1 \ 2 \end{pmatrix} $ and $ mathbf{b} = egin{pmatrix} 3 \ 4 \end{pmatrix} $. Find ( mathbf{a} cdot mathbf{b} ).

Correct A. 11

B. 13

C. 15

D. 17

Correct Answer: A

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Question 18

A random experiment has two indep\endent events, A and B. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. What is the probability that both events occur?

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.60

Correct Answer: A

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Question 19

Solve the equation $ x^2 + 4x + 4 = 0 $.

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 20

A set A contains the elements {1, 2, 3, 4, 5}. Find the number of subsets of A.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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Question 21

Find the equation of the circle pas\sing through the points (1, 2), (3, 4), and (5, 6).

Correct A. x^2 + y^2 + 4x - 8y + 5 = 0

B. x^2 + y^2 - 4x + 8y + 5 = 0

C. x^2 + y^2 + 2x - 4y + 5 = 0

D. x^2 + y^2 - 2x + 4y + 5 = 0

Correct Answer: A

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Question 22

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

Correct A. x < -1 or x > 3/2

B. x > -1 or x < 3/2

C. x < -1 or x < 3/2

D. x > -1 or x > 3/2

Correct Answer: A

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Question 23

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 + 118098 + 354294 + 1062882

Correct Answer: A

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Question 24

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

A. 9

Correct B. 18

C. 27

D. 36

Correct Answer: B

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Question 25

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. 1/2

B. 1/3

Correct C. 2/5

D. 3/5

Correct Answer: C

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