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POST UTME CRAWFORD UNIVERSITY 2022 Mathematics | Objective

Are you preparing for POST UTME CRAWFORD 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

In the diagram below, if the length of the hypotenuse is 10 units, and the length of the shorter leg is 6 units, find the length of the longer leg.

A. 8

B. 6

Correct C. 12

D. 4

Correct Answer: C

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Question 2

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 3

In the diagram below, if the area of the triangle is 12 square units, and the length of the base is 4 units, find the height.

Correct A. 3

B. 4

C. 6

D. 8

Correct Answer: A

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Question 4

If $y = \frac{1}{2}x^2 + 3x - 4$, find the value of $y$ when $x = 2$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 5

In the diagram below, if the length of the longer leg is 8 units, and the length of the shorter leg is 6 units, find the length of the hypotenuse.

Correct A. 10

B. 12

C. 8

D. 6

Correct Answer: A

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Question 6

Find the equation of the circle pas\sing through the points (1, 2), (3, 4), and (5, 6).

Correct A. x^2 + y^2 - 4x - 6y + 5 = 0

B. x^2 + y^2 - 3x - 4y + 3 = 0

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

D. x^2 + y^2 - x - 2y + 1 = 0

Correct Answer: A

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Question 7

If f(x) = 3x^2 + 2x - 5, find f'(x) u\sing the chain rule.

Correct A. f'(x) = 6x + 2

B. f'(x) = 6x^2 + 2x

C. f'(x) = 6x + 2x^2

D. f'(x) = 6x^2 + 2

Correct Answer: A

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Question 8

A rec\tangular box has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Find the volume and surface area of the box.

Correct A. Volume: 400 cm^3, Surface Area: 240 cm^2

B. Volume: 500 cm^3, Surface Area: 200 cm^2

C. Volume: 600 cm^3, Surface Area: 260 cm^2

D. Volume: 700 cm^3, Surface Area: 280 cm^2

Correct Answer: A

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Question 9

Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, ...

A. 55

Correct B. 60

C. 65

D. 70

Correct Answer: B

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Question 10

Find the determinant of the matrix \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 11

Given that ( f(x) = \frac{1}{x^2 + 1} ), find the derivative of ( f(x) ) u\sing the chain rule.

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

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

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

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

Correct Answer: A

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Question 12

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

A. 13

Correct B. 25

C. 37

D. 49

Correct Answer: B

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Question 13

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

A. 15

B. 25

Correct C. 35

D. 45

Correct Answer: C

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Question 14

A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). Find the number of subsets of ( A ) that contain exactly 3 elements.

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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Question 15

A geometric sequence has a first term of 2 and a common ratio of 3. Find the sum of the first 5 terms of the sequence.

A. 1092

Correct B. 1224

C. 1356

D. 1488

Correct Answer: B

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Question 16

Find the value of x in the equation $ \log_{2} \( x^2 \ $ = 8 ).

Correct A. 256

B. 512

C. 1024

D. 2048

Correct Answer: A

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Question 17

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

A. -2

Correct B. -3

C. 1

D. 4

Correct Answer: B

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Question 18

In the diagram below, find the value of x.

A. 30

B. 60

Correct C. 90

D. 120

Correct Answer: C

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Question 19

Solve the inequality $ 2x - 5 > 3 $.

Correct A. x > 4

B. x < 4

C. x > 2

D. x < 2

Correct Answer: A

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Question 20

Find the value of x in the equation $ \sin \( 2x \ $ = \frac{1}{2} ).

A. 30

Correct B. 60

C. 90

D. 120

Correct Answer: B

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Question 21

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

A. 2x

B. -2x

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

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

Correct Answer: C

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Question 22

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

Correct A. 25\pi

B. 50\pi

C. 100\pi

D. 200\pi

Correct Answer: A

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Question 23

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

A. 7

B. 9

Correct C. 11

D. 13

Correct Answer: C

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Question 24

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

Correct A. x = -2

B. x = -1

C. x = 0

D. x = 1

Correct Answer: A

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Question 25

A rec\tangular prism has a length of 6 units, a width of 4 units, and a height of 3 units. Find the volume of the prism.

A. 72

Correct B. 96

C. 108

D. 120

Correct Answer: B

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