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POST UTME REDEEMERS UNIVERSITY 2022 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 2022 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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

Correct A. $ x = -2 $

B. $ x = -3 $

C. $ x = 2 $

D. $ x = 3 $

Correct Answer: A

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Question 2

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

Correct A. $ \frac{64}{3} $

B. $ \frac{32}{3} $

C. $ \frac{16}{3} $

D. $ \frac{8}{3} $

Correct Answer: A

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Question 3

Solve the system of linear equations u\sing matrices: $ egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} $.

Correct A. $ x = 1, y = 2 $

B. $ x = 2, y = 1 $

C. $ x = 3, y = 4 $

D. $ x = 4, y = 3 $

Correct Answer: A

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Question 4

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 - 5 $^2 = 16 )

D. $ x - 5 \ $^2 + $ y - 4 $^2 = 16 )

Correct Answer: A

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Question 5

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, with the first bar representing scores 0-10, the second bar representing scores 11-20, and so on. If the mean score is 25, what is the median score?

Correct A. 25

B. 26

C. 27

D. 28

Correct Answer: A

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Question 6

Find the value of $\log_{10} \left$ \frac{1000}{\sqrt{100}} \right $$.

Correct A. 3

B. 2

C. 1

D. 0

Correct Answer: A

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Question 7

A histogram of exam scores is shown below. If the mean score is 60, find the value of $\sigma$.

A. 10

Correct B. 5

C. 15

D. 20

Correct Answer: B

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Question 8

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

Correct A. \frac{\pi}{4}

B. \frac{\pi}{2}

C. \pi

D. \frac{3\pi}{4}

Correct Answer: A

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Question 9

A circle with center $C$ and radius $r$ is shown below. If the point $P$ lies on the circle, find the value of $CP$.

Correct A. r

B. 2r

C. 3r

D. 4r

Correct Answer: A

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Question 10

A quadratic equation is given by $ax^2 + bx + c = 0$. If the roots are $\alpha$ and $\beta$, find the value of $\alpha + \beta$.

Correct A. -\frac{b}{a}

B. \frac{c}{a}

C. \frac{b}{a}

D. -\frac{c}{a}

Correct Answer: A

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Question 11

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 12

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

A. 25π

Correct B. 50π

C. 75π

D. 100π

Correct Answer: B

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Question 13

Find the derivative of the function $ y = \sin^2 x $ u\sing the chain rule.

Correct A. $ 2\sin x \cos x $

B. $ \cos^2 x $

C. $ \sin x \cos x $

D. $ \sin^2 x $

Correct Answer: A

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Question 14

A histogram has a mean of 25 and a s\tandard deviation of 5. Find the median.

Correct A. 25

B. 30

C. 35

D. 40

Correct Answer: A

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Question 15

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

A. $ y = x + 1 $

Correct B. $ y = x - 1 $

C. $ y = x + 2 $

D. $ y = x - 2 $

Correct Answer: B

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Question 16

Find the volume of the solid formed by revolving the region bounded by the parabola $ y = x^2 $, the line $ x = 2 $, and the x-axis about the x-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 17

Solve the inequality $ \log_{10} \( x^2 \ $ > 4 ).

Correct A. x > 10

B. x < 10

C. x > 100

D. x < 100

Correct Answer: A

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Question 18

Find the equation of the circle with center at ( (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

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Question 19

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

A. 8

B. 16

Correct C. 32

D. 64

Correct Answer: C

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Question 20

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

Correct A. x = -2

B. x = 2

C. x = -1

D. x = 1

Correct Answer: A

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Question 21

Find the volume of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.

A. 64\pi

B. 128\pi

Correct C. 256\pi

D. 512\pi

Correct Answer: C

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Question 22

Solve the inequality |x - 2| > 3.

Correct A. x < -1 or x > 5

B. x < 1 or x > 5

C. x < -1 or x > 2

D. x < 1 or x > 2

Correct Answer: A

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Question 23

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 = 32

C. $ x - 2 $^2 + $ y - 3 $^2 = 64

D. $ x - 2 $^2 + $ y - 3 $^2 = 128

Correct Answer: A

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Question 24

Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 2.

A. 10

B. 20

Correct C. 30

D. 40

Correct Answer: C

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Question 25

Solve the system of equations x + y = 4 and xy = 6.

Correct A. x = 2, y = 2

B. x = 2, y = 3

C. x = 3, y = 2

D. x = 3, y = 3

Correct Answer: A

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