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

A. 1/2

B. 1/3

C. 3/2

D. 2/3

2 / 50

2. 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. onto-mapping

B. One one mapping

C. Identity mapping

D. Constant mapping

3 / 50

3. Integration of e^x gives ______

A. e^-x

B. In x

C. e^x

D. e

4 / 50

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

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

A. 3

B. 1/2

C. 5

D. 1

5 / 50

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

A. 2cos A Cos B

B. 2 sin A Cos B

C. 2sin A sin B

D. 2cosA sinB

6 / 50

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

A. 5

B. 0.36

C. 0.73

D. 3

7 / 50

7. What is the ceiling of -9.5 ?

A. -9.5

B. -10

C. -9

D. 10

8 / 50

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

A. One one mapping

B. Constant mapping

C. Identity mapping

D. Onto mapping

9 / 50

9. 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. 3

C. 1

D. 2

10 / 50

10. 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. Extreme Value Theorem

C. None

D. Mean Value Theorem

11 / 50

11. What is the floor of -9 ?

A. -1/9

B. 1/9

C. -9

D. 9

12 / 50

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

A. 3x ^2

B. 6

C. 6x

D. X^3

13 / 50

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

A. Constant

B. One to one

C. Identity

D. Onto

14 / 50

14. 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

15 / 50

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

A. Independent variable

B. Constant variable

C. Dependent variable

D. Function variable

16 / 50

16. What is the ceiling of 0.4 ?

A. 1

B. 0.4

C. -0.4

D. 0

17 / 50

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

A. George Cantor

B. Gottfried Wilhelm Leibniz

C. Newton

D. Thomas Edison

18 / 50

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

A. 30

B. 20

C. 60

D. 40

19 / 50

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

A. Minimal points

B. Increasing points

C. Singular point

D. Monotone Points

20 / 50

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

A. Identity mapping

B. One one mapping

C. Constant mapping

D. Onto mapping

21 / 50

21. f(x) = a0 is a ___

A. Trigonometric function

B. Polynomial function

C. Constant function

D. Linear function

22 / 50

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

A. 1

B. Sin X

C. 0

D. None

23 / 50

23. The concept of fundamental to calculus is

A. Limit

B. Function

C. Variable

D. Class

24 / 50

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

A. 9( 4x-3)^4

B. 12( 4x-3) ^4

C. 5 (4x-3) ^4

D. 20(4x-3) ^4

25 / 50

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

A. 1

B. -2

C. 2

D. -1

26 / 50

26. Solve for X if 4^X=7

A. 1.4

B. 0.4

C. 0

D. 1

27 / 50

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

A. Variable

B. Function

C. Constant

D. String

28 / 50

28. The relationship between two variables is called

A. Mapping

B. Limit

C. Variable

D. Function

29 / 50

29. Find the derivative of the function

f(x) = cot(x)

A. tan^2 (x)

B. -cosec^2 (x)

C. -tan x

D. -sec^x

30 / 50

30. What is the floor of 9.99 ?

A. 10

B. -10

C. -9

D. 9

31 / 50

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

A. 2x + 1

B. X

C. 2x

D. 1

32 / 50

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

A. 2x

B. 0.5x

C. X

D. 0

33 / 50

33. 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. Extreme value theorem

B. None

C. Rolles Theorem

D. Mean value theorem

34 / 50

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

A. 0

B. 2x + 1

C. Y

D. 2x

35 / 50

35. Sinh ^-1 is a _______function

A. Inverse Exponential

B. Exponential

C. Inverse Hyperbolic

D. Hyperbolic

36 / 50

36. Find the third derivative of x^9

A. 3024 ^ 5

B. 9x ^8

C. 72x ^7

D. 504x ^ 6

37 / 50

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

A. 3

B. 6

C. 9

D. 27

38 / 50

38. 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

39 / 50

39. What function is integrated to get this graph?

A. X- 1

B. X + 1

C. 2x

D. (X-1)

40 / 50

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

A. 2/3

B. 1/2

C. 3/4

D. -1/2

41 / 50

41. 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. Odd

C. Constant

D. Absolute

42 / 50

42. 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

43 / 50

43. 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. Relation

C. Range

D. Mapping

44 / 50

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

A. 2cosA sinB

B. 2sinA sinB

C. 2sinA cosB

D. 2cosA cosB

45 / 50

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

A. 14

B. 4

C. 8

D. 5

46 / 50

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

A. In X +c

B. 2in X +c

C. 2in X +1 +c

D. 4inx +c

47 / 50

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

A. 0

B. Infinity

C. X

D. 2023

48 / 50

48. ____is any rule which associates two set of items

A. Polynomial

B. Variable

C. Function

D. Mapping

49 / 50

49. 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. One one mapping

D. Constant mapping

50 / 50

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

A. 1

B. 0

C. 7

D. -7

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The average score is 37%

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