FUOYE MTH 102/106 CBT Practice : Undergragra

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Take your time to read instructions before taking this test.

There are 40 questions which you are to answer in 15 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace MTH 102/106 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

Do not be in a hurry to answer the questions
Do not waste time on a question you don’t know
Move as fast as possible and starting with questions that don’t have calculation first to save time
Always crosscheck
Don’t be in a hurry to submit, you are not in a competition
Don’t be scared. Getting an A is easy
Don’t be over confident, you can end up a D, E or F. Calm your blood, no be only you sabi book
Please do well to use our comment box incase there’s a message you want to pass to us

70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

I wish you success

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Created on July 20, 2023 By

Aruwaji Philip

MTH 102

1 / 50

1. Find the derivatives of the the function

f(x)= x[x^2 + 2(x)]

A. X ^3 + 2x

B. 3x^2 + 2x

C. 3x^2 + 4x

D. X^3 +4x

2 / 50

2. A function is , if every
horizontal line intersect the graph of the function atmost once.

A. Constant

B. Onto

C. Identity

D. One to one

3 / 50

3. Lim [(x^2 -2)(x^2 +1)] as x approaches zero is equal to __

A. -1

B. -2

C. 2

D. 1

4 / 50

4. A/An _____is a Variable which may assume any value assigned to it.It’s sometimes called the predictor variable

A. Independent variable

B. Function variable

C. Dependent variable

D. Constant variable

5 / 50

5. Given that f(x) = (3X +1) / (x-2) , find f(-1)

A. 3/2

B. 1/3

C. 2/3

D. 1/2

6 / 50

6. Solve for X if 4^X=7

A. 1

B. 0

C. 0.4

D. 1.4

7 / 50

7. The set of all the elements in the co-domain that are images of objects in the domain is referred to as______

A. Mapping

B. Relation

C. Range

D. Function

8 / 50

8. A point where a function is not defined is called a _____points of the function

A. Increasing points

B. Singular point

C. Monotone Points

D. Minimal points

9 / 50

9. Find the derivative of the function

f(x) = cot(x)

A. tan^2 (x)

B. -sec^x

C. -cosec^2 (x)

D. -tan x

10 / 50

10. sin (A+B) + sin (A-B) is also equal to ____

A. 2cos A Cos B

B. 2 sin A Cos B

C. 2cosA sinB

D. 2sin A sin B

11 / 50

11. What is the floor of 9.99 ?

A. 9

B. -10

C. -9

D. 10

12 / 50

12. Integration of e^x gives ______

A. e^x

B. e^-x

C. e

D. In x

13 / 50

13. A _____is a quantity which may take different values in mathematical operations

A. Variable

B. Function

C. Constant

D. String

14 / 50

14. if a function is continuous on a closed and bounded interval [a,b] ,then the function attains a maximum and a minimum value on [a,b].
This theorem satisfies _____

A. Rolles Theorem

B. Mean Value Theorem

C. None

D. Extreme Value Theorem

15 / 50

15. Lim SinX/X as X approaches Zero is equal to ____

A. None

B. 0

C. Sin X

D. 1

16 / 50

16. What is the integral of 1 with respect to x?

A. 0.5x

B. 0

C. 2x

D. X

17 / 50

17. A function f is said to be a/an _____function if f(-x)=f(x) for all x in the domain of f.

A. Constant

B. Odd

C. Absolute

D. Even

18 / 50

18. Solve for X if 5^(x+1)=9

A. 5

B. 0.73

C. 0.36

D. 3

19 / 50

19. What function is integrated to get this graph?

FE6DE74D-BA86-423B-BDA9-67AF53946EE1-231x300 FUOYE MTH 102/106 CBT Practice

A. (X-1)

B. X- 1

C. 2x

D. X + 1

20 / 50

20. cos(A-B) -cos(A+B) is also equal to ___

A. 2cosA sinB

B. 2cosA cosB

C. 2sinA cosB

D. 2sinA sinB

21 / 50

21. The concept of fundamental to calculus is

A. Function

B. Limit

C. Class

D. Variable

22 / 50

22. What is x² + 1 differentiated with respect to x?

A. X

B. 2x

C. 2x + 1

D. 1

23 / 50

23. Lim 5x + 9 as x approaches 1 is equal to ___

A. 5

B. 4

C. 14

D. 8

24 / 50

24. Let f(x) = x^2. Find the value of b such that the average rate of change of f(x) from 1 to b equals the instantaneous rate of change of f(x) at t=2

A. 1

B. 0

C. 3

D. 2

25 / 50

25. Find the third derivative of the function f(x) =x^3

A. 6x

B. X^3

C. 3x ^2

D. 6

26 / 50

26. What will be the derivative of this function- 'f(x) = 2023'

A. 0

B. X

C. Infinity

D. 2023

27 / 50

27. Can you name the two men who discovered calculus?

A. Thomas Edison

B. George Cantor

C. Gottfried Wilhelm Leibniz

D. Newton

28 / 50

28. Differentiate y = [ 4x -3] ^5

A. 12( 4x-3) ^4

B. 20(4x-3) ^4

C. 5 (4x-3) ^4

D. 9( 4x-3)^4

29 / 50

29. Given f(x)= (3x +1) / (x-2), find f(0)

A. 2/3

B. 3/4

C. -1/2

D. 1/2

30 / 50

30. What is the ceiling of 0.4 ?

A. 1

B. 0

C. 0.4

D. -0.4

31 / 50

31. State whether the given statement is true or false. The second fundamental theorem of calculus states that if F(x) = ∫_a^x f(t) dt then F '(x) = f(x).

A. True

B. False

32 / 50

32. A mapping where every element in the domain is mapped to a single element in the co-domain is referred to as ______

A. Onto mapping

B. One one mapping

C. Identity mapping

D. Constant mapping

33 / 50

33. What is x² + 1 differentiated with respect to y?

A. 0

B. 2x

C. Y

D. 2x + 1

34 / 50

34. Sinh ^-1 is a _______function

A. Hyperbolic

B. Exponential

C. Inverse Hyperbolic

D. Inverse Exponential

35 / 50

35. Let f be continuous on a closed interval [a,b] and differentiable in [a,b]. Then there exists at least a point C in [a,b] such that [f(b)-f(a)] / [b-a] = f’(c)

The theorem above satisfies _____

A. Mean value theorem

B. Rolles Theorem

C. Extreme value theorem

D. None

36 / 50

36. Find the third derivative of x^9

A. 504x ^ 6

B. 3024 ^ 5

C. 72x ^7

D. 9x ^8

37 / 50

37. ____is any rule which associates two set of items

A. Variable

B. Mapping

C. Function

D. Polynomial

38 / 50

38. The relationship between two variables is called

A. Variable

B. Limit

C. Function

D. Mapping

39 / 50

39. Lim (x^3 +27)/(x+3) as x approaches 3 is equal to _____

A. 9

B. 6

C. 3

D. 27

40 / 50

40. A______of a function f is a point x=x0 at which f’(x0)=0

A. Function point

B. Continuity point

C. Stationary point

D. Fixed point

41 / 50

41. Every_____has it’s co-domain equals the range

A. Constant mapping

B. Identity mapping

C. One one mapping

D. Onto mapping

42 / 50

42. Differentiate [5x^2][6/x]

A. 40

B. 20

C. 60

D. 30

43 / 50

43. What is the ceiling of -9.5 ?

A. -10

B. -9.5

C. -9

D. 10

44 / 50

44. A mapping is ______if different elements in the domain have different elements in the co-domain

A. Onto mapping

B. One one mapping

C. Constant mapping

D. Identity mapping

45 / 50

45. Lim (x^2 +7x)/(x) as x approaches zero is equal to _____

A. 7

B. -7

C. 1

D. 0

46 / 50

46. Find the integral of [2/x]dx

A. 2in X +1 +c

B. 4inx +c

C. In X +c

D. 2in X +c

47 / 50

47. What is the floor of -9 ?

A. 1/9

B. -9

C. -1/9

D. 9

48 / 50

48. If f(x) = x^2 and a=3

find Lim [f(x) -f(a)] / [x-a] as x approaches zero

A. 5

B. 1

C. 3

D. 1/2

49 / 50

49. Consider a set A defines as A=(a,b,c,d,e). If f maps A to A such that f(a)=a ,f(b)=b ,f(c)=c, f(d)=d and f(e)=e, then the mapping is _______

A. Identity mapping

B. One one mapping

C. onto-mapping

D. Constant mapping

50 / 50

50. f(x) = a0 is a ___

A. Polynomial function

B. Constant function

C. Linear function

D. Trigonometric function

Your score is

The average score is 37%

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