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Worksheets

REAL NUMBERS

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

 3\sqrt{3}  is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

2.

 π \pi\   and 1.234567890... is considered a...

a)

irrational number

b)

rational number

c)

Natural number

d)

Whole number

3.

Euclid Division Lemma is used to find

a)

HCF

b)

LCM

c)

Both HCF and LCM

4.

22/7 is

a)

Rational number

b)

Irrational numbers

5.
Write as one logarithm. Simplify, if possible.
log63 + log62
a)
0
b)
log65
c)
log61
d)
1
6.
Evaluate.
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
7.
Write in logarithmic form.
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
8.
Write in exponential form.
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
9.

Rewrite log28 = 3 in exponential form

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

10.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
11.
Solve for x.
3x = 27
a)
2
b)
4
c)
3
d)
5
12.
Evaluate.
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
13.

Write the logarithm expression as a single logarithm

log54 + log53

a)

log57

b)

log512

c)

log75

d)

3log54

14.

Expand the logarithm expression

log 6x3y

a)

log 6x3 + log y

b)

log 6 + log x3 + log y

c)

3 log 6 + log x + log y

d)

log 6 + 3log x + log y

15.
Evaluate:
log416
a)
2
b)
4
c)
1/2
d)
-2