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POST UTME REDEEMERS UNIVERSITY 2019 Mathematics | Objective

Are you preparing for POST UTME REDEEMERS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Determine the equation of the \tangent line to the curve \( y = \frac{1}{2}x^2 - 3x + 2 \) at the point where \( x = 2 \).

Correct A. \( y = -4x + 10 \)

B. \( y = 4x - 10 \)

C. \( y = -2x + 10 \)

D. \( y = 2x - 10 \)

Correct Answer: A

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Question 2

A cylindrical \tank with a radius of 4m and a height of 10m is filled with water. If the water level rises by 2m, determine the volume of water added to the \tank.

A. ( 100pi ) m³

Correct B. ( 200pi ) m³

C. ( 300pi ) m³

D. ( 400pi ) m³

Correct Answer: B

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Question 3

A histogram represents the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar representing scores from 0-10, the second bar representing scores from 11-20, and so on. If the height of the first bar is 8, the height of the second bar is 12, the height of the third bar is 15, the height of the fourth bar is 18, and the height of the fifth bar is 20, determine the mean score of the class.

A. ( 18 )

B. ( 20 )

Correct C. ( 22 )

D. ( 25 )

Correct Answer: C

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Question 4

A vector ( mathbf{a} ) has a magnitude of 6 units and makes an angle of 30° with the positive x-axis. A vector ( mathbf{b} ) has a magnitude of 8 units and makes an angle of 60° with the positive x-axis. Determine the magnitude of the resul\tant vector \( mathbf{a} + mathbf{b} \).

A. ( 10 ) units

B. ( 12 ) units

Correct C. ( 14 ) units

D. ( 16 ) units

Correct Answer: C

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Question 5

A binary operation ( odot ) is defined as \( a odot b = ab + 2 \). Determine the value of ( 3 odot 4 ).

A. ( 14 )

B. ( 16 )

Correct C. ( 18 )

D. ( 20 )

Correct Answer: C

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Question 6

Determine the mean of the following set of numbers: 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 7

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.

Correct A. x = -2 or x = -3

B. x = -1 or x = -6

C. x = 2 or x = 3

D. x = -3 or x = 2

Correct Answer: A

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Question 8

A sequence is defined by the formula \( a_n = 2n + 1 \). Find the 5th term of the sequence.

A. 11

B. 13

Correct C. 15

D. 17

Correct Answer: C

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Question 9

In a histogram, the frequency of a class is represented by the area of the rec\tangle. If the width of the class is 5 and the height is 8, what is the area of the rec\tangle?

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 10

A polynomial is defined by the equation ( p(x) = x^3 - 2x^2 + 3x - 1 ). Find the value of ( p(2) ).

A. 9

B. 11

Correct C. 13

D. 15

Correct Answer: C

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Question 11

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

Correct A. 104,783

B. 104,783

C. 104,783

D. 104,783

Correct Answer: A

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Question 12

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

Correct A. x < -1 \cup x > 2

B. x < -1 \cap x > 2

C. x > -1 \cup x < 2

D. x > -1 \cap x < 2

Correct Answer: A

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Question 13

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

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = 2x - 2

D. y = 2x + 2

Correct Answer: A

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Question 14

A binary operation \ast is defined as follows: a \ast b = a^2 + b^2. Find \( 2 \ast 3 \) \ast 4.

Correct A. 52

B. 53

C. 54

D. 55

Correct Answer: A

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Question 15

A random experiment consists of rolling a fair six-sided die. Find the probability that the sum of the numbers on the two dice is 7.

Correct A. \frac{1}{6}

B. \frac{1}{12}

C. \frac{1}{18}

D. \frac{1}{24}

Correct Answer: A

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Question 16

Determine the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Round the answer to the nearest whole number.

A. 10

Correct B. 12

C. 14

D. 16

Correct Answer: B

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Question 17

A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Calculate its volume in cubic centimeters.

Correct A. 120

B. 140

C. 160

D. 180

Correct Answer: A

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Question 18

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) by factoring.

Correct A. \( x = -2, x = -3 \)

B. \( x = 2, x = 3 \)

C. \( x = -1, x = -6 \)

D. \( x = 1, x = 6 \)

Correct Answer: A

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Question 19

Find the sum of the first 10 terms of the arithmetic sequence 3, 6, 9, ...

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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Question 20

A circle has a diameter of 14 cm. Calculate its circumference.

A. 44

Correct B. 44.8

C. 45

D. 45.2

Correct Answer: B

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Question 21

Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1, and f_Y(y) = 3y^2, 0 < y < 1. Find the probability that X + Y < 1.

Correct A. 1/4

B. 1/2

C. 3/4

D. 1

Correct Answer: A

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Question 22

Find the area under the curve y = x^2 + 2x + 1 from x = 0 to x = 2.

A. 13/3

Correct B. 14/3

C. 15/3

D. 16/3

Correct Answer: B

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Question 23

Solve the equation x^3 - 6x^2 + 11x - 6 = 0.

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 24

A binary number is represented as 1101. Convert it to decimal.

A. 13

B. 14

C. 15

Correct D. 16

Correct Answer: D

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Question 25

Simplify the expression \( \sqrt{16} + \sqrt{9} \).

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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