Exam Body

Year

Subject

Paper Type

POST UTME KSU 2020 Mathematics | Objective

Are you preparing for POST UTME KSU exams? Reviewing past 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.

Practice these randomly selected questions to test your readiness.

Question 1

Determine the value of x in the equation $ \frac{x}{2} + \frac{3}{4} = \frac{7}{8} $.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

A binary operation ( oplus ) is defined as $ a oplus b = a^2 + b^2 $. Find the value of ( 2 oplus 3 ).

Correct A. 13

B. 14

C. 15

D. 16

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

A sequence is defined as $ a_n = 2n + 1 $. Find the sum of the first 5 terms of the sequence.

A. 15

B. 20

C. 25

Correct D. 30

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

In the circuit below, find the equivalent resis\tance between points A and B.

A. 2Ω

B. 4Ω

Correct C. 6Ω

D. 8Ω

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

A quadratic equation is defined as $ x^2 + 4x + 4 = 0 $. Find the value of x.

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

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

A. 11,946

B. 12,000

Correct C. 12,054

D. 12,100

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

Solve for x in the equation \[ \begin{array}{c} 2x + 5y = 11 \ 3x - 2y = -7 \end{array} \] u\sing the method of substitution.

Correct A. x = 1, y = 2

B. x = 2, y = 1

C. x = 3, y = 4

D. x = 4, y = 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 4.

A. 56

B. 57

Correct C. 58

D. 59

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A rec\tangular box has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find the volume of the box.

A. 30

B. 31

Correct C. 32

D. 33

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

Find the surface area of the sphere with radius 4 cm.

A. 201

B. 202

Correct C. 203

D. 204

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Find the value of $x$ in the equation $2^x + 3^x = 5^x$.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

Solve the inequality $\frac{x-2}{x+1} > 0$.

A. x<-1

Correct B. x>-1

C. x<2

D. x>2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

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

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

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

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

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

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

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

Correct A. x=3, y=1

B. x=1, y=3

C. x=2, y=2

D. x=4, y=0

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3 or 5?

A. 1/3

B. 1/2

Correct C. 2/3

D. 1/6

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A circle has a radius of 4 cm. Find the area of the circle.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A vector \overrightarrow{a} has a magnitude of 5 units and makes an angle of 60\circ with the positive x-axis. Find the x and y components of the vector.

Correct A. \begin{pmatrix} 2.5 \\ 4.33 \end{pmatrix}

B. \begin{pmatrix} 4.33 \\ 2.5 \end{pmatrix}

C. \begin{pmatrix} 5 \\ 0 \end{pmatrix}

D. \begin{pmatrix} 0 \\ 5 \end{pmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

Find the sum of the first 10 terms of the geometric series 2, 6, 18, ...

Correct A. 59049

B. 59048

C. 59047

D. 59046

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A line passes through the points (2, 3) and (4, 5). Find the equation of the line in slope-intercept form.

Correct A. y = x + 1

B. y = x - 1

C. y = -x + 1

D. y = x + 2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

A random variable X has a probability distribution given by P$ X = 1 $ = 0.3, P$ X = 2 $ = 0.4, and P$ X = 3 $ = 0.3. What is the expected value of X?

A. 1.1

Correct B. 1.2

C. 1.3

D. 1.4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

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

Correct A. -2

B. -3

C. 2

D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

In a set A = {1, 2, 3, 4, 5}, find the number of subsets of A that contain exactly 3 elements.

A. 10

B. 12

Correct C. 15

D. 20

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...

Correct A. 62

B. 64

C. 66

D. 68

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

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

Correct A. 2

B. 4

C. 6

D. 8

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support