Free Printable math

1.

If 5ⁿ= 125 find n.

a)

25

b)

1/3

c)

-3

d)

3

2.

Evaluate 27^-1/3 * 49^-1/2* 125⁰

a)

210

b)

21

c)

1/21

d)

1

3.

If 8^x = 32^1.5, What is the value of x?

a)

1.5

b)

2.5

c)

3

d)

4

4.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

5.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

6.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

7.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

8.

100100₂ − 10100₂ =

a)

100001

b)

100000

c)

10100

d)

10000

9.

Given that X₁₀= 11₂+ 11₅+ 11_8, find the value of X.

a)

15

b)

16

c)

17

d)

18

10.

101₂+ 111₂=

a)

1000₂

b)

1001₂

c)

1011₂

d)

1100₂

11.

Given that x₅ = 35_10,then x =

a)

10

b)

12

c)

20

d)

120

12.

Convert 145 to base 4.

a)

145₄

b)

2101₄

c)

3001₄

d)

1202₄

13.

Convert 123₄ to base 10?

a)

18

b)

123

c)

27

d)

25

14.

What is the base of the binary number system?

a)

8

b)

2

c)

10

d)

16

15.

11000₂+ 111₂ =

a)

11111

b)

11011

c)

11101

d)

10111

16.

Find the exact value of y if $\log_{10}\left(y+1\right)=3$

a)

$y=99$

b)

$y=999$

c)

$10^3=y+1$

d)

I don't know how to do this question yet

17.

Without a calcultor, calculate the value of $\log_{10\ }1000$

a)

$3$

b)

$1000$

c)

$10^3$

d)

I don't know how to do this question yet

18.

Simplify: $\frac{1}{4}\log_281+\frac{1}{2}\log_249$

a)

$\log_221$

b)

$\log_210$

c)

$\log_2\left(\frac{3}{7}\right)$

d)

$\log_244.75$

19.

Condense the Logarithm $5\log_{ }a\ -\ 25\log_{ }b$

a)

$\log\ \left(a^5+b^{25}\right)$

b)

$\log\ \left(a^5-b^{25}\right)$

c)

$\log\ \left(ab\right)^{25}$

d)

$\log_{ }\ \left(\frac{a^5}{b^{25}}\right)$

math

Total questions: 19

Worksheet time: 25mins

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