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

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Created on July 20, 2023 By

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MTH 102

1 / 50

1. 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. None

B. Mean Value Theorem

C. Extreme Value Theorem

D. Rolles Theorem

2 / 50

2. 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. 0

B. 2

C. 3

D. 1

3 / 50

3. Find the derivatives of the the function

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

A. 3x^2 + 2x

B. 3x^2 + 4x

C. X ^3 + 2x

D. X^3 +4x

4 / 50

4. What function is integrated to get this graph?

A. X + 1

B. X- 1

C. (X-1)

D. 2x

5 / 50

5. Find the third derivative of x^9

A. 504x ^ 6

B. 72x ^7

C. 9x ^8

D. 3024 ^ 5

6 / 50

6. What is the ceiling of -9.5 ?

A. -9.5

B. 10

C. -9

D. -10

7 / 50

7. What is the floor of -9 ?

A. 9

B. 1/9

C. -9

D. -1/9

8 / 50

8. Integration of e^x gives ______

A. In x

B. e^-x

C. e^x

D. e

9 / 50

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

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

A. 1

B. 5

C. 1/2

D. 3

10 / 50

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

A. One one mapping

B. Onto mapping

C. Constant mapping

D. Identity mapping

11 / 50

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

A. -1/2

B. 1/2

C. 2/3

D. 3/4

12 / 50

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

A. Constant

B. Function

C. String

D. Variable

13 / 50

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

A. Gottfried Wilhelm Leibniz

B. George Cantor

C. Newton

D. Thomas Edison

14 / 50

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

A. X

B. Infinity

C. 2023

D. 0

15 / 50

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

A. Constant mapping

B. Onto mapping

C. One one mapping

D. Identity mapping

16 / 50

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

A. Fixed point

B. Function point

C. Continuity point

D. Stationary point

17 / 50

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

A. 0

B. 7

C. -7

D. 1

18 / 50

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

A. 6

B. 3x ^2

C. 6x

D. X^3

19 / 50

19. 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. Mean value theorem

C. Extreme value theorem

D. Rolles Theorem

20 / 50

20. What is the floor of 9.99 ?

A. 9

B. -9

C. -10

D. 10

21 / 50

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

A. 2x + 1

B. 2x

C. 0

D. Y

22 / 50

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

A. Even

B. Absolute

C. Odd

D. Constant

23 / 50

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

A. 1/3

B. 2/3

C. 1/2

D. 3/2

24 / 50

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

A. -2

B. -1

C. 1

D. 2

25 / 50

25. Sinh ^-1 is a _______function

A. Inverse Exponential

B. Exponential

C. Inverse Hyperbolic

D. Hyperbolic

26 / 50

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

A. Relation

B. Range

C. Mapping

D. Function

27 / 50

27. The relationship between two variables is called

A. Limit

B. Mapping

C. Function

D. Variable

28 / 50

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

A. 2in X +1 +c

B. In X +c

C. 4inx +c

D. 2in X +c

29 / 50

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

A. 2cos A Cos B

B. 2cosA sinB

C. 2sin A sin B

D. 2 sin A Cos B

30 / 50

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

A. Constant variable

B. Independent variable

C. Function variable

D. Dependent variable

31 / 50

31. ____is any rule which associates two set of items

A. Mapping

B. Polynomial

C. Variable

D. Function

32 / 50

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

A. One to one

B. Identity

C. Onto

D. Constant

33 / 50

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

A. 12( 4x-3) ^4

B. 5 (4x-3) ^4

C. 9( 4x-3)^4

D. 20(4x-3) ^4

34 / 50

34. 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

35 / 50

35. Solve for X if 4^X=7

A. 1.4

B. 0.4

C. 0

D. 1

36 / 50

36. The concept of fundamental to calculus is

A. Class

B. Limit

C. Variable

D. Function

37 / 50

37. 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. False

B. True

38 / 50

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

A. 1

B. Sin X

C. None

D. 0

39 / 50

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

A. 5

B. 4

C. 14

D. 8

40 / 50

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

A. 6

B. 3

C. 9

D. 27

41 / 50

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

A. 2cosA cosB

B. 2sinA sinB

C. 2cosA sinB

D. 2sinA cosB

42 / 50

42. 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. Constant mapping

C. Identity mapping

D. onto-mapping

43 / 50

43. f(x) = a0 is a ___

A. Constant function

B. Linear function

C. Polynomial function

D. Trigonometric function

44 / 50

44. 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

45 / 50

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

A. 0.73

B. 3

C. 0.36

D. 5

46 / 50

46. Find the derivative of the function

f(x) = cot(x)

A. -sec^x

B. -tan x

C. tan^2 (x)

D. -cosec^2 (x)

47 / 50

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

A. 2x + 1

B. X

C. 2x

D. 1

48 / 50

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

A. 60

B. 40

C. 30

D. 20

49 / 50

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

A. 0

B. 2x

C. X

D. 0.5x

50 / 50

50. What is the ceiling of 0.4 ?

A. 0.4

B. -0.4

C. 1

D. 0

Your score is

The average score is 38%

FUOYE MTH 102/106 CBT Practice

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