Free Printable Basic Mathematics quiz

1.

Which of the following graphs best represent the linear relation y = 3x?

a)

b)

c)

d)

2.

Expand the following logarithm:
log₃ 10z

a)

log₃ 10 - log₃ z

b)

log₃ 10 + log₃ z

c)

zlog₃ 10

d)

log₃ z¹⁰

3.

Expand the following logarithm:
log₂ 6/y

a)

log₂ 6 - log₂ y

b)

log₂ y - log₂ 6

c)

2log 6 + 2log y

d)

log₂ 6 - y

4.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

5.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

6.

Rewrite log_b(xⁿ)

a)

nlog_bx

b)

(log_bx)ⁿ

c)

xⁿlog_bx

d)

log_b(xⁿ)

7.

Evaluate log_b(b)

a)

-1

b)

0

c)

1

d)

b

8.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

9.

What is anti-derivative?

(a)

10.

$What\ is\frac{\text{d}}{\text{d}x}\left(\sqrt{x}-\frac{1}{x}\right)=\ You\ can\ choose\ more\ than\ one\ answer$

a)

$\frac{1}{2\sqrt{x}}-\frac{2}{x^2}$

b)

$\frac{1}{2}\sqrt{x}+\frac{1}{x^2}$

c)

$\frac{1}{2\sqrt{x}}+\frac{1}{x^2}$

d)

$\frac{1}{2}x^{-\frac{1}{2}}+\frac{1}{x^2}$

11.

What is the missing number?
sin(60) = cos( )

a)

10

b)

20

c)

30

d)

40

12.

If sin(2x+7)°=cos(4x−7)°, what is the value of x?

a)

7

b)

15

c)

21

d)

30

13.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

$\pi$

14.

$What\ is\frac{\text{d}}{\text{d}v}\left(\frac{v^4+4v^3-v^2}{v^2}\right)?$

a)

$2v+\frac{3}{2}v+4$

b)

$2v+4+c$

c)

$2v+4$

d)

$2v^2+6v-\frac{1}{2}$

15.

$If\ y=3x^7e^{-6}\ \ ,\det er\min e\ \ \ \frac{\text{d}y}{\text{d}x}$

a)

$126x^6e^{-7}$

b)

$-126x^6e^{-5}$

c)

$21e^{-6}x^6$

d)

$21x^6e^6$

16.

$\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx$

a)

$x^{-1}\ +\ x^{-2}+\ c$

b)

$x^0\ -\ x^{-1}+\ c$

c)

$\ln x+\ x^{-1}+\ c$

d)

$\ln x-\ x^{-1}+\ c$

17.

$\int5x^4dx$

a)

$x^5$

b)

$\frac{5}{4}x^5+C$

c)

$x^5+C$

d)

$20x^3$ + C

18.

$\int6x\left(x+2\right)dx$

a)

$6x^2+12x+C$

b)

$x^{2\ }-2x+C$

c)

$3x^2+6x+C$

d)

$2x^3+6x^2+C$

19.

$\int8x^{-3}dx$

a)

$-2x^{-4}+C$

b)

$4x^{-3}+C$

c)

$\frac{8}{-3}x^{-2}$

d)

$-4x^{-2}+C$

20.

If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$

a)

$\frac{ax^{n+1}}{n+1}$

b)

$\frac{ax^{n-1}}{n-1}+\ c$

c)

$\frac{ax^{n+1}}{n}+\ c$

d)

$\frac{ax^{n+1}}{n+1}+\ c$

Basic Mathematics quiz

Total questions: 20

Worksheet time: 35mins

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