Take your time to read instructions before taking this test.

There are 30 questions which you are to answer in 10 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 201 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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MTH 201

1 / 30

1. The derivative of a constant function is:

A. The function itself

B. Zero

C. A non-zero constant

D. Undefined

2 / 30

2. Simpson’s rules are based on:

A. Integrating non-continuous data

B. Polynomial approximations of data points

C. Linear interpolations

D. Summing areas under exponential functions

3 / 30

3. For $\ln(x)$ , the derivative $f^{'} (x)$ is:

A. ln ⁡ ( 𝑥^2 )

B. ln(x)/x

C. 1/x

D. x^2

4 / 30

4. The integral of a function is commonly used to determine:

A. Instantaneous velocity of a particle

B. The area under a curve

C. Points of inflection

D. The slope of a tangent line

5 / 30

5. The main disadvantage of the Bisection method is:

A. Its inability to converge

B. It is slower compared to other methods

C. It requires the function to be discontinuous

D. It needs a large initial interval

6 / 30

6. Differential calculus focuses on:

A. Simplifying arithmetic operations

B. The study of integrals and their properties

C. Solving quadratic equations analytically

D. The rate of change of quantities and slope of curves

7 / 30

7. Numerical integration is used to:

A. Solve algebraic equations

B. Find derivative values at certain points

C. Eliminate transcendental functions from models

D. Approximate definite integrals that cannot be solved analytically

8 / 30

8. Partial differentiation deals with functions:

A. Having a single variable

B. That depend on multiple variables

C. Defined implicitly

D. Containing only constant terms

9 / 30

9. A function is continuous at a point if:

A. It is differentiable at every point of the domain

B. Its integral converges

C. It is differentiable at every point of the domain

D. The left-hand limit, right-hand limit, and function value are equal

10 / 30

10. The second derivative of a function determines:

A. The tangent line's slope

B. The rate of change of the slope of the function

C. The intercept of a function

D. Points where the function is undefined

11 / 30

11. Newton’s method may fail if:

A. 𝑓 ( 𝑥 ) is undefined in the interval

B. The initial guess is too close to the root

C. f ′ (x)=0 at some iteration

D. The function f(x) is continuous

12 / 30

12. Newton-Cotes quadrature methods are used to approximate:

A. Zeros of transcendental functions

B. Definite integrals of functions

C. Solutions of differential equations

D. Infinite sums

13 / 30

13. Simpson’s 1/3 rule is applicable when:

A. Subintervals are divisible by 3

B. Subintervals are even

C. Only two data points exist

D. Subintervals are odd

14 / 30

14. Differentiability implies:

A. A function is not defined at that point

B. A function has a defined slope at a specific point

C. A function is always continuous everywhere

D. There are discontinuities in the function

15 / 30

15. A first-order differential equation is characterized by:

A. No derivatives at all

B. A derivative of the second order

C. A partial derivative

D. Only one derivative of the unknown function

16 / 30

16. Quadrature methods for numerical integration require:

A. Solving differential equations explicitly

B. Discrete data values for functions

C. Transforming all values into logarithmic form

D. Finding the roots of integrands

17 / 30

17. A function is said to be continuous if:

A. Its derivative exists at every point

B. It has breaks or holes in its graph

C. It has a second derivative everywhere

D. It can be drawn without lifting the pencil off the paper

18 / 30

18. A definite integral represents:

A. The area under a curve between two bounds

B. The value of a function at one endpoint

C. The slope of the tangent line

D. The derivative at a point

19 / 30

19. Newton’s Method starts with

A. Using random values for calculation

B. Solving equations for definite integrals

C. Eliminating derivatives from a function

D. Approximating a root using the tangent line of 𝑓 ( 𝑥 )

20 / 30

20. An inflection point of a curve occurs when:

A. The curve reaches a maximum value

B. The first derivative equals zero

C. The concavity of the curve changes

D. The curve is discontinuous

21 / 30

21.

A. Gives an exact number representing the area under the curve between 𝑎 a and 𝑏 b

B. Represents the indefinite integral of the function

C. Always equals zero

D. Cannot be solved without differentiating first

22 / 30

22. The main limitation of the Trapezoidal Rule is:

A. It assumes linear behavior over small intervals

B. It can only approximate discontinuous functions

C. It is always less accurate than Simpson's 1/3 rule

D. It is time-consuming for smooth functions

23 / 30

23. Newton’s method is generally used when:

A. Calculating integrals over infinite intervals

B. Solving differential equations only

C. The root of f(x)=0 is not easily accessible

D. Function 𝑓 ( 𝑥 ) has no derivative

24 / 30

24. In the Trapezoidal Rule, the formula includes:

A. All derivatives of the function

B. The difference between the limits of integration

C. Function values at all midpoints

D. The average of the first and last function values

25 / 30

25. A function has a maximum when:

A. 𝑓 ′ ( 𝑥 ) > 0 and f ′′ (x)>0

B. f ′ (x)=0 and 𝑓 ′ ′ ( 𝑥 ) < 0 f ′′ (x)<0

C. f(x)=0 and f ′′ (x)=0

D. 𝑓 ′ ( 𝑥 ) 0

26 / 30

26. An integral is best interpreted as:

A. The difference between two functions

B. The accumulation of quantities or areas under a curve

C. The measurement of angles between two lines

D. The relationship between velocity and mass

27 / 30

27. The Bisection method requires that the function:

A. Be integrable

B. Have opposite signs at the endpoints of the interval

C. Be linear in form

D. Be differentiable at all points

28 / 30

28. The primary objective of calculus is to:

A. Analyze changes and accumulation in mathematical models

B. Study arithmetic operations exclusively

C. Simplify algebraic expressions

D. Solve matrix-based problems

29 / 30

29. A transcendental function is one that

A. Is always continuous and differentiable

B. Involves trigonometric, exponential, or logarithmic expressions

C. Represents only polynomial equations

D. Can be solved algebraically

30 / 30

30. The Simpson's 3/8 Rule differs from the 1/3 Rule by:

A. Approximating functions with degree 1

B. Requiring only one interval

C. Using intervals divisible by 3

D. Avoiding higher-order derivatives

Your score is

The average score is 28%

MTH 201 CBT PRACTICE

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