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

Please do well to use our comment box incase there’s a message you want to pass to us

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Created on July 20, 2023 By

Aruwaji Philip

MTH 102

1 / 50

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

A. 3

B. 6

C. 27

D. 9

2 / 50

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

A. 0.73

B. 3

C. 0.36

D. 5

3 / 50

3. The concept of fundamental to calculus is

A. Variable

B. Class

C. Function

D. Limit

4 / 50

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

A. 3/2

B. 1/2

C. 2/3

D. 1/3

5 / 50

5. Sinh ^-1 is a _______function

A. Exponential

B. Inverse Hyperbolic

C. Inverse Exponential

D. Hyperbolic

6 / 50

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

A. 0.5x

B. 0

C. 2x

D. X

7 / 50

7. f(x) = a0 is a ___

A. Constant function

B. Polynomial function

C. Trigonometric function

D. Linear function

8 / 50

8. 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. None

B. Rolles Theorem

C. Mean value theorem

D. Extreme value theorem

9 / 50

9. What is the ceiling of 0.4 ?

A. -0.4

B. 0.4

C. 1

D. 0

10 / 50

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

A. Onto mapping

B. Constant mapping

C. Identity mapping

D. One one mapping

11 / 50

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

A. Function variable

B. Constant variable

C. Independent variable

D. Dependent variable

12 / 50

12. The relationship between two variables is called

A. Function

B. Mapping

C. Variable

D. Limit

13 / 50

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

A. 4

B. 14

C. 5

D. 8

14 / 50

14. Find the derivatives of the the function

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

A. 3x^2 + 2x

B. X ^3 + 2x

C. 3x^2 + 4x

D. X^3 +4x

15 / 50

15. 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

16 / 50

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

A. One to one

B. Constant

C. Identity

D. Onto

17 / 50

17. What is the floor of 9.99 ?

A. -10

B. 10

C. 9

D. -9

18 / 50

18. Find the derivative of the function

f(x) = cot(x)

A. -tan x

B. tan^2 (x)

C. -sec^x

D. -cosec^2 (x)

19 / 50

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

A. Identity mapping

B. Onto mapping

C. Constant mapping

D. One one mapping

20 / 50

20. 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. One one mapping

B. Identity mapping

C. Constant mapping

D. onto-mapping

21 / 50

21. 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. 3

B. 2

C. 0

D. 1

22 / 50

22. What function is integrated to get this graph?

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

A. 2x

B. (X-1)

C. X + 1

D. X- 1

23 / 50

23. ____is any rule which associates two set of items

A. Variable

B. Polynomial

C. Mapping

D. Function

24 / 50

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

A. None

B. Sin X

C. 0

D. 1

25 / 50

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

A. 7

B. 0

C. 1

D. -7

26 / 50

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

A. X

B. 0

C. 2023

D. Infinity

27 / 50

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

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

A. 1/2

B. 3

C. 1

D. 5

28 / 50

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

A. Onto mapping

B. Constant mapping

C. Identity mapping

D. One one mapping

29 / 50

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

A. Function

B. Range

C. Mapping

D. Relation

30 / 50

30. Solve for X if 4^X=7

A. 0

B. 0.4

C. 1

D. 1.4

31 / 50

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

A. -1

B. -2

C. 2

D. 1

32 / 50

32. Find the third derivative of x^9

A. 3024 ^ 5

B. 504x ^ 6

C. 9x ^8

D. 72x ^7

33 / 50

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

A. Stationary point

B. Continuity point

C. Fixed point

D. Function point

34 / 50

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

A. 2in X +1 +c

B. 4inx +c

C. In X +c

D. 2in X +c

35 / 50

35. Integration of e^x gives ______

A. e^-x

B. e^x

C. e

D. In x

36 / 50

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

A. 3/4

B. -1/2

C. 1/2

D. 2/3

37 / 50

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

A. Odd

B. Even

C. Constant

D. Absolute

38 / 50

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

A. Monotone Points

B. Minimal points

C. Singular point

D. Increasing points

39 / 50

39. What is the ceiling of -9.5 ?

A. 10

B. -9.5

C. -9

D. -10

40 / 50

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

A. 20(4x-3) ^4

B. 12( 4x-3) ^4

C. 9( 4x-3)^4

D. 5 (4x-3) ^4

41 / 50

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

A. 2cosA sinB

B. 2sinA cosB

C. 2cosA cosB

D. 2sinA sinB

42 / 50

42. What is the floor of -9 ?

A. 9

B. -9

C. 1/9

D. -1/9

43 / 50

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

A. Constant

B. Variable

C. Function

D. String

44 / 50

44. 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. Extreme Value Theorem

D. None

45 / 50

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

A. 3x ^2

B. 6x

C. 6

D. X^3

46 / 50

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

A. 2 sin A Cos B

B. 2sin A sin B

C. 2cos A Cos B

D. 2cosA sinB

47 / 50

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

A. Thomas Edison

B. Newton

C. George Cantor

D. Gottfried Wilhelm Leibniz

48 / 50

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

A. 2x + 1

B. 2x

C. 0

D. Y

49 / 50

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

A. 1

B. X

C. 2x + 1

D. 2x

50 / 50

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

A. 60

B. 40

C. 20

D. 30

Your score is

The average score is 37%

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