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

PS

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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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 _____

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

3 / 50

3. Find the derivatives of the the function

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

4 / 50

4. What function is integrated to get this graph?

MTH 101 CBT TEST

5 / 50

5. Find the third  derivative of x^9

6 / 50

6. What is the ceiling of -9.5 ?

7 / 50

7. What is the floor of -9 ?

8 / 50

8. Integration of e^x gives ______

9 / 50

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

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

10 / 50

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

11 / 50

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

12 / 50

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

13 / 50

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

14 / 50

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

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 ______

16 / 50

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

17 / 50

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

18 / 50

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

20 / 50

20. What is the floor of 9.99 ?

21 / 50

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

23 / 50

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

24 / 50

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

25 / 50

25. Sinh ^-1 is a _______function

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______

27 / 50

27. The relationship between two variables is called

28 / 50

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

29 / 50

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

30 / 50

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

31 / 50

31. ____is any rule which associates two set of items

32 / 50

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

33 / 50

33. Differentiate  y = [ 4x -3] ^5

34 / 50

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

35 / 50

35. Solve for X if 4^X=7

36 / 50

36. The concept of fundamental to calculus is

37 / 50

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

38 / 50

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

39 / 50

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

40 / 50

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

41 / 50

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

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 _______

43 / 50

43. f(x) = a0 is a ___

44 / 50

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

45 / 50

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

46 / 50

46. Find the derivative of the function

f(x) = cot(x)

47 / 50

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

48 / 50

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

49 / 50

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

50 / 50

50. What is the ceiling of 0.4 ?

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