Free Printable Final Mathematics quiz

1.

Solve by elimination

5x+6y= -10

3x-2y= -6

a)

(-2,0)

b)

(0,-2)

c)

(2,0)

d)

(0,2)

2.

What is the solution to this system?

x - y = 6

y= 2x - 5

a)

(1,3)

b)

(-1,3)

c)

(-1,-7)

d)

(1,-7)

3.

Solve by elimination:

4x+9y=28

-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

4.

What is the derivative of xⁿ?

a)

(n-1)xⁿ

b)

nxⁿ⁺¹

c)

(n+1)x^n-1

d)

nx^n-1

5.

What is the derivative of tan(x)?

a)

-sec²(x)

b)

-csc²(x)

c)

sec²(x)

d)

csc²(x)

6.

What is the quotient rule for the derivative of
f = u/v?

a)

f' = (vu' - uv')/v²

b)

f' = (uv' - vu')/v²

c)

f' = (vu' - uv')/u²

d)

f' = (uv' - vu')/u²

7.

What is the product rule for the derivative of
f = u⋅v?

a)

f' = u'v + uv'

b)

f' = uv' - vu'

c)

f' = uv - v'u'

d)

f' = v'u' - vu

8.

Find the derivative of the given equation

f(x) = 1 - x²

a)

1 - 2x

b)

-2x

c)

-2

d)

-1

9.

a)

b)

c)

d)

10.

$\int dx=$

a)

$0$

b)

$x+C$

c)

$1$

d)

$undefined$

11.

$\int\sec^2xdx=$

a)

$\sec^3x+C$

b)

$\frac{1}{3}\sec^3x+C$

c)

$\tan x+C$

d)

$2\sec x\ +\ C$

12.

$\int e^{10x}dx=$

a)

$e^{10x+1}+C$

b)

$\ln10x\ +\ C$

c)

$e^{10x}+C$

d)

$\frac{e^{x+1}}{x+1}+C$

13.

Which of the following is NOT one of techniques of Integration?

a)

Substitution

b)

By Part

c)

Quotient Rule

d)

Partial Fraction

14.

Which of the following is NOT one of the techniques of differentiation ?

a)

product rule

b)

quotient rule

c)

integration by parts

d)

none of the above

15.

In solving the following by Bernouli's formula

\int_{ }^{ }x^2\sin x\ dx

, the values of u and v are

a)

$u=\sin x,\ v=x^2$

b)

$\ u=x^2,v=\sin x$

c)

$u=x^2,\ v=-\cos x$

d)

$u=x^2,\ v=\cos x$

16.

The Bernouli's formula for

\int_{ }udv

is

a)

$uv+u'v_1+u''v_2+.......$

b)

$uv-u'v_1+u''v_2-.......$

c)

$uv-u'v_1-u''v_2-.......$

d)

$-uv+u'v_1-u''v_2+.......$

17.

which of the following is not an elementary row operation ?

a)

Interchange of two rows or columns

b)

multiplication of a row or column by a nonzero number

c)

Multiply a row (or column) by a non-zero number and add the result to another row (or column).

d)

add a nonzero number to a column or row

18.

How much are you satisfied with the lectures taken by Maths faculties ?

a)

< 60 %

b)

60 -75 %

c)

75-90 %

d)

above 90 %

19.

The derivative of

\sin\left(2x+1\right)

is

a)

$\cos\ (2x+1)$

b)

$-\ \cos\ (2x+1)$

c)

$-2\cos(2x+1)$

d)

$2\cos\ (2x+1)$

20.

If

z=\ x^2y+xy^2+x

, then

a)

$\frac{\partial z}{\partial y}=x^2+2xy+1,\ \frac{\partial z}{\partial x}=2xy+y^2+1$

b)

$\frac{\partial z}{\partial y}=x^2+2xy+x,\ \frac{\partial z}{\partial x}=2xy+y^2+1$

c)

$\frac{\partial z}{\partial y}=x^2+2xy,\ \frac{\partial z}{\partial x}=2xy+y^2+1$

d)

$\frac{\partial z}{\partial y}=x^2+2xy,\ \frac{\partial z}{\partial x}=2xy+y^2$

Final Mathematics quiz

Total questions: 20

Worksheet time: 25mins

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