Exam Body

Year

Subject

Paper Type

POST UTME GREENFIELD UNIVERSITY 2020 Mathematics | Objective

Are you preparing for POST UTME GREENFIELD UNIVERSITY 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

Find the value of $ sum_{n=1}^{10} \frac{1}{n^2} $

Correct A. 1.6449340668482264

B. 1.6449340668482265

C. 1.6449340668482266

D. 1.6449340668482267

Correct Answer: A

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

Question 2

Solve for ( x ) in the equation $ 2x^2 + 5x - 3 = 0 $

Correct A. -1.5

B. 1.5

C. -1

D. 2

Correct Answer: A

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

Question 3

Find the area under the curve $ y = x^2 $ from $ x = 0 $ to $ x = 2 $

Correct A. 4

B. 2

C. 1

D. 3

Correct Answer: A

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

Question 4

Solve the system of equations $ x + y = 2 $ and $ x - y = 1 $

Correct A. (1, 1)

B. (2, 0)

C. (0, 2)

D. (1, 0)

Correct Answer: A

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

Question 5

Find the equation of the circle with center ( (2, 3) ) and radius ( 4 )

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

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

Question 6

Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

A. f'(x) = -\frac{2x}{$ x^2 + 1 $^2}

Correct B. f'(x) = \frac{2x}{$ x^2 + 1 $^2}

C. f'(x) = \frac{-2x}{$ x^2 + 1 $^2}

D. f'(x) = \frac{2}{$ x^2 + 1 $^2}

Correct Answer: B

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

Question 7

A circle with center ( C(2, 3) ) and radius $ r = 4 $ has a chord ( AB ) of length ( 6 ). Find the dis\tance from the center of the circle to the chord.

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

Question 8

The mean of a set of numbers is $ \bar{x} = 10 $. If the sum of the numbers is $ S = 40 $, find the variance.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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

Question 9

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

A. 10

B. 20

Correct C. 30

D. 40

Correct Answer: C

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

Question 10

A polynomial function has roots at $ x = -2, 0, 3 $. Find the polynomial function in factored form.

Correct A. f(x) = $ x + 2 $$ x)\( x - 3 \ $

B. f(x) = $ x - 2 $$ x)\( x + 3 \ $

C. f(x) = $ x + 2 $$ x)\( x - 2 \ $

D. f(x) = $ x - 2 $$ x)\( x + 3 \ $

Correct Answer: A

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

Question 11

Find the equation of the circle with centre at $ left\( -2, 3 \right \ $ ) and radius ( 4 ).

Correct A. $ x^2 + y^2 + 4x - 6y - 7 = 0 $

B. $ x^2 + y^2 - 4x + 6y - 7 = 0 $

C. $ x^2 + y^2 + 2x - 3y - 7 = 0 $

D. $ x^2 + y^2 - 2x + 3y - 7 = 0 $

Correct Answer: A

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

Question 12

Solve the equation $ \frac{1}{2} \log_{10} \( x^2 \ $ = 4 ).

Correct A. $ x = 10^{8} $

B. $ x = 10^{4} $

C. $ x = 10^{2} $

D. $ x = 10^{6} $

Correct Answer: A

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

Question 13

Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

Correct A. ( f'(x) = \frac{-2x}{$ x^2 + 1 $^2} )

B. ( f'(x) = \frac{2x}{$ x^2 + 1 $^2} )

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

D. ( f'(x) = \frac{-2}{$ x^2 + 1 $^2} )

Correct Answer: A

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

Question 14

Solve the equation $ \sin^2 x + \cos^2 x = 1 $ for ( x ) in the interval ( [0, 2pi] ).

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

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

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

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

Correct Answer: B

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

Question 15

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

Correct A. $ y = 2x - 1 $

B. $ y = 2x + 1 $

C. $ y = -2x + 1 $

D. $ y = -2x - 1 $

Correct Answer: A

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

Question 16

Find the value of x in the equation $ \log_{10} \( x^2 \ $ = 4 ).

Correct A. 10

B. 100

C. 1000

D. 10000

Correct Answer: A

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

Question 17

A circle has a radius of 5 cm. Find the area of the circle.

Correct A. 25π

B. 50π

C. 100π

D. 200π

Correct Answer: A

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

Question 18

Find the mean of the following data set: 2, 4, 6, 8, 10.

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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

Question 19

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

Correct A. $ -∞, -1 $ ∪ (3, ∞)

B. $ -∞, -3 $ ∪ (1, ∞)

C. $ -∞, -1 $ ∪ (1, ∞)

D. $ -∞, 1 $ ∪ (3, ∞)

Correct Answer: A

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

Question 20

Find the area under the curve $ y = x^2 $ from x = 0 to x = 4.

A. 32

Correct B. 64

C. 128

D. 256

Correct Answer: B

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

Question 21

Determine the value of $\theta$ in the equation $\sin^2\theta + \cos^2\theta = 1$.

Correct A. 0

B. 90

C. 180

D. 270

Correct Answer: A

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

Question 22

A set $A$ contains $5$ elements, and a set $B$ contains $3$ elements. If $A \cap B = \emptyset$, what is the number of elements in $A \cup B$?

A. 8

Correct B. 7

C. 6

D. 5

Correct Answer: B

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

Question 23

A sequence is defined by the formula $a_n = \frac{1}{n}$. What is the sum of the first $5$ terms of this sequence?

A. 1

B. 2

C. 3

Correct D. 4

Correct Answer: D

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

Question 24

A polynomial $p(x)$ has roots $x = -2$ and $x = 3$. What is the product of the roots of the polynomial $p(x) + 2$?

Correct A. -6

B. -4

C. -2

D. 6

Correct Answer: A

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

Question 25

A circle with center $C$ and radius $r$ passes through the point $P$. What is the equation of the circle in s\tandard form?

Correct A. $ x - h $^2 + $ y - k $^2 = r^2

B. x^2 + y^2 = r^2

C. x^2 + y^2 - 2gx - 2fy = 0

D. x^2 + y^2 + 2gx + 2fy = 0

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