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POST UTME DELSU 2017 Mathematics | Objective

Are you preparing for POST UTME DELSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Find the area under the curve $ y = \frac{1}{2}x^2 + 3x - 2 $ from $ x = 0 $ to $ x = 4 $.

A. $ \frac{1}{2} $

B. ( 3 )

C. ( 4 )

Correct D. ( 6 )

Correct Answer: D

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Question 2

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

A. $ x = -1 $

Correct B. $ x = 3 $

C. $ x = -3 $

D. $ x = 1 $

Correct Answer: B

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Question 3

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are blue?

A. $ \frac{1}{4} $

B. $ \frac{1}{2} $

Correct C. $ \frac{3}{4} $

D. $ \frac{2}{3} $

Correct Answer: C

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Question 4

Find the value of ( x ) in the equation $ 2^x + 5^x = 10^x $.

A. $ x = 2 $

B. $ x = 3 $

Correct C. $ x = 4 $

D. $ x = 5 $

Correct Answer: C

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Question 5

A company produces 200 units of a product per day. If the \cost of production is ( C(x) = 2x^2 + 5x - 3 ), where ( x ) is the number of units produced, find the \cost of producing 250 units.

A. ₦1250

B. ₦1500

Correct C. ₦1750

D. ₦2000

Correct Answer: C

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Question 6

Find the area under the curve $ y = \frac{1}{2}x^2 + 3x - 2 $ from $ x = 0 $ to $ x = 4 $.

Correct A. ( 22 )

B. ( 24 )

C. ( 26 )

D. ( 28 )

Correct Answer: A

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Question 7

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If 80% of the scores fall within 2 s\tandard deviations of the mean, what percentage of the scores fall within 1 s\tandard deviation of the mean?

Correct A. ( 68 )

B. ( 72 )

C. ( 76 )

D. ( 80 )

Correct Answer: A

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Question 8

Find the derivative of the function ( f(x) = \frac{1}{2}x^2 + 3x - 2 ) u\sing the chain rule.

Correct A. $ x + 3 $

B. $ x^2 + 3 $

C. $ x^2 + 3x - 2 $

D. $ x^2 + 3x + 2 $

Correct Answer: A

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Question 9

A set of numbers has a mean of 50 and a s\tandard deviation of 5. If 80% of the numbers fall within 2 s\tandard deviations of the mean, what percentage of the numbers fall within 1 s\tandard deviation of the mean?

Correct A. ( 68 )

B. ( 72 )

C. ( 76 )

D. ( 80 )

Correct Answer: A

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Question 10

Find the equation of the circle with center ( (3, 4) ) and radius 5.

Correct A. $ x - 3 \ $^2 + $ y - 4 $^2 = 25 )

B. $ x - 4 \ $^2 + $ y - 3 $^2 = 25 )

C. $ x - 3 \ $^2 + $ y - 4 $^2 = 30 )

D. $ x - 4 \ $^2 + $ y - 3 $^2 = 30 )

Correct Answer: A

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Question 11

In a random sample of 25 students, the mean height is 175 cm with a s\tandard deviation of 5 cm. If the mean height of the entire population is 180 cm, calculate the s\tandard error of the mean.

A. 2.5 cm

Correct B. 3.5 cm

C. 4.5 cm

D. 5.5 cm

Correct Answer: B

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Question 12

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

A. 1240

B. 1245

Correct C. 1250

D. 1255

Correct Answer: C

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Question 13

In the diagram below, the circle has a radius of 4 cm. Find the area of the shaded region.

Correct A. 50.24 cm^2

B. 50.53 cm^2

C. 50.73 cm^2

D. 50.93 cm^2

Correct Answer: A

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Question 14

Find the derivative of the function f(x) = 3x^2 + 2x - 5 u\sing the chain rule.

Correct A. 6x + 2

B. 6x + 3

C. 6x - 2

D. 6x - 3

Correct Answer: A

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Question 15

Evaluate the definite integral \int_0^2 $ 2x + 1 $ dx.

A. 5

B. 6

Correct C. 7

D. 8

Correct Answer: C

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Question 16

In a geometric sequence with first term $a$ and common ratio $r$, the sum of the first $n$ terms is given by the formula $S_n = \frac{a$ 1 - r^n $}{1 - r}$. If $a = 2$, $r = \frac{1}{2}$, and $n = 5$, find the value of $S_n$.

Correct A. 15

B. 16

C. 17

D. 18

Correct Answer: A

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Question 17

A solid cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone.

Correct A. 256\pi

B. 512\pi

C. 768\pi

D. 1024\pi

Correct Answer: A

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Question 18

If $x^2 + 4x + 4 = 0$, find the value of $x$.

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 19

A circle has a radius of 6 cm. Find the area of the circle.

Correct A. 36\pi

B. 72\pi

C. 108\pi

D. 144\pi

Correct Answer: A

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Question 20

If $x + \frac{1}{x} = 2$, find the value of $x^2 + \frac{1}{x^2}$.

A. 3

B. 4

C. 5

Correct D. 6

Correct Answer: D

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Question 21

Find the volume of the frustum of a cone with height 10cm, lower base radius 6cm, and upper base radius 4cm.

A. 200\pi cm^3

Correct B. 300\pi cm^3

C. 400\pi cm^3

D. 500\pi cm^3

Correct Answer: B

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Question 22

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

Correct A. 2

B. 4

C. 10

D. 20

Correct Answer: A

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Question 23

A set of 5 consecutive integers has a median of 10. Find the sum of the integers.

A. 100

B. 150

Correct C. 200

D. 250

Correct Answer: C

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Question 24

Find the surface area of the sphere with radius 5cm.

A. 50\pi cm^2

Correct B. 100\pi cm^2

C. 150\pi cm^2

D. 200\pi cm^2

Correct Answer: B

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Question 25

A company produces 300 units of a product per day. If the production rate is increased by 20%, find the new production rate.

A. 360 units/day

B. 400 units/day

Correct C. 420 units/day

D. 440 units/day

Correct Answer: C

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