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Worksheets

grad 6

Total questions: 100

Worksheet time: 2hrs 12mins

Name
Class
Date
1.
5 times a number, minus 8  
a)
5m - 8
b)
5(m + 8)
c)
8m + 5
d)
8(m + 5)
2.
46 less than a number
a)
46 - n
b)
n - 46
c)
46 + n
d)
n + 46
3.
the difference between forty-six and a number
a)
46 x n
b)
46/n
c)
n-46
d)
46 − n
4.
3 x 8 - (9 - 7)3
a)
16
b)
18
c)
0
5.
24 ÷ 6 + 42
a)
12
b)
2
c)
20
6.
What is the number in a power that tells how many times the base is used as a factor?
a)
Expression
b)
Exponent
c)
Factor
d)
Term
7.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
8.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
9.
8 ÷ 8 + 6 × 2
a)
8
b)
13
c)
14
d)
23
10.

7 x (7 - 4) ÷ 3 =

a)

8

b)

6

c)

7

d)

5

11.

Write the given expanded form in exponential form.

4 x 4 x 4 x 4 x 4

a)

45

b)

54

c)

46

d)

4

12.

Find the missing base.

a)

9

b)

3

c)

2

d)

4

13.

Find the missing exponent.

a)

1

b)

3

c)

2

d)

4

14.
25 is the same as 2 x 5.
a)
True
b)
False
15.
Write the following in expanded form. 
103
a)
10+10+10
b)
10x10x10
c)
3x10
d)
1,000
16.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
17.

Choose the operation in this equation: 7 m = 42

a)

7

b)

multiply

c)

m

d)

42

18.

Choose the variable in this equation: x - 5 = 12

a)

x

b)

subtract

c)

5

d)

12

19.

7x = 14

a)

2

b)

4

c)

28

d)

20

20.

a ÷ 4 = 8

a)

a = 24

b)

a = 26

c)

a = 30

d)

a = 32

21.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
22.
x - 60 = 20
a)
-80
b)
80
c)
-40
d)
40
23.
x + 40 = 56
a)
x = 16
b)
x = 96
c)
x = 15
d)
x = 10
24.

Which is GREATER?

27 or 72

a)

27

b)

72

c)

Neither, they are equal

25.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

75

b)

76

c)

67

d)

77

26.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

27.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

28.

63= 5 x 12 + _____

a)

5

b)

2

c)

3

d)

1

29.

14+6x20-3

a)

396

b)

131

c)

180

d)

140

30.

Zero is not a whole number

a)

True

b)

False

31.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
32.
What is the GCF of 8 and 10?
a)
1
b)
3
c)
4
d)
2
33.

What is the greatest common factor of 12 and 20?

(a)  

34.

What is the greatest common factor of 14 and 35?

a)

2

b)

7

c)

8

d)

5

35.

What is the greatest common factor of 30 and 49?

a)

1

b)

5

c)

6

d)

7

36.

Is 12 a factor of 24?

a)

yes

b)

no

37.
Which number is a factor of 16
a)
7
b)
6
c)
9
d)
4
38.
Which number is a factor of 23?
a)
8
b)
4
c)
3
d)
1
39.

Evaluate expression x=7, y=15, z=8

13y - zx ÷ 4

a)

9

b)

36

c)

181

d)

34.75

40.

Evaluate Expression x=7, y=15, z=8

9y ÷ (2x+1)

a)

5

b)

10

c)

9

d)

19

41.
n2 + 7
n = 3 
a)
16
b)
17
c)
44
d)
11
42.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
43.
Evaluate if a = 2 and b = 8
6 + 7b - 3a
a)
-100
b)
100
c)
-56
d)
56
44.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
45.

63= 5 x 12 + _____

a)

5

b)

2

c)

3

d)

1

46.
What is the LCM of 2, 4, and 9?
a)
18
b)
36
c)
27
d)
40
47.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
48.

What does GCF mean?

a)

Great Cookie Fever

b)

Greatest Common Factor

c)

Greatest Common Multiple

d)

Greatest Compared Factor

49.

What is the Least Common Multiple of 10 and 48?

a)

240

b)

260

c)

480

d)

140

50.

This is the smallest whole number greater than zero that is a multiple of two whole numbers. Or, the smallest positive number that is a multiple of two or more numbers.

a)

Greatest Common Factor

b)

Factors

c)

Reciprocal

d)

Least Common Multiple

51.
LCM stands for
a)
Least correct multiple
b)
Latest common multiple
c)
Least common multiple
d)
Laser classroom mouse
52.
Which of these numbers is a multiple of 18?
a)
2
b)

6

c)

35

d)

54

53.
The product of factors : 2 x 3 = 6 ..... What is the name of 6 
a)
Factor
b)
Multiples
c)
Common Denominator 
d)
Common Numerator
54.
LCM
a)
Greatest Common Factor
b)
Common Denominator
c)
Least Common Multiple
d)
Greatest Common Multiple
55.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

56.

In the exponent 34, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

57.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

93

58.

What is the property of zero as an exponent mean?

a)

the value of any nonzero number raised to the power of 0 is 0.

b)

the value of any nonzero number raised to the power of 0 is 2.

c)

the value of any nonzero number raised to the power of 0 is -1.

d)

the value of any nonzero number raised to the power of 0 is 1.

59.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

75

b)

76

c)

67

d)

77

60.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

61.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

62.

Choose the verbal phrase that matches the algebraic expression.

a)

8 more than 4 times a number

b)

4 times the sum of a number and 8

c)

the product of 4 and a number

d)

the sum of 8 and a number

63.
n2 + 7
n = 3 
a)
16
b)
17
c)
44
d)
11
64.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
65.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
66.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
67.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
68.
12-2x4
a)
40
b)
50
c)
60
d)
70
69.
3h=36
a)
h=36
b)
h=46
c)
h=12
d)
h=20
70.
4b=20
a)
b=5
b)
b=3
c)
b=8
d)
b=9
71.
Order the following from least to greatest: 
[-5, 3, 0.5, -1, 0, 0.32, -1.5]
a)
-5, -1, -1.5, 0, 0.32, 0.5, 3
b)
-1, -5, 0.5, 0, 0.32, -1.5, 3
c)
-5, -1.5, -1, 0, 0.32, 0.5, 3
d)
-5, -1.5, -1, 0, 0.5, 0.32, 3
72.

Which number line shows 1/2

a)

A

b)

B

c)

C

d)

D

73.
Which number is a negative number?
a)
1
b)
4
c)
-2
74.

Which numbers are greater than -5? (more than 1 answer)

a)

- 6

b)

- 3

c)

- 2

d)

- 8

75.

Which number is the least?

- 100 or -1

a)

- 100

b)

- 1

76.

Which numbers are greater than |-25|? Choose all that are true.

a)

26

b)

75

c)

-25

d)

-15

77.

Which number is greatest in value?

a)

|80|

b)

|-81|

c)

-81

d)

|-87|

78.

|98|____ 98

a)

>

b)

<

c)

=

79.

|-64|____ 56

a)

>

b)

<

c)

=

80.

-39 is less than which numbers. Choose all that are true.

a)

-23

b)

0

c)

34

d)

-40

81.

-89 _____ -98

a)

>

b)

<

c)

=

82.

|-9|____ 9

a)

>

b)

<

c)

=

83.

|-2| _____ 3

a)

>

b)

<

c)

=

84.

Which number is the least?

- 4 or 2

a)

-4

b)

2

85.

Which number is the greatest?

- 5 or - 2

a)

- 5

b)

- 2

86.

-25 _____ -20

a)

>

b)

<

c)

=

87.

0 ____ -2

a)

>

b)

<

c)

=

88.

(-2) – (-7) =

a)

-9

b)

+9

c)

-5

d)

+5

89.

(+4) – (-2) =

a)

-6

b)

+6

c)

+2

d)

-2

90.

(+2) + (-7) =

a)

+9

b)

-9

c)

+5

d)

-5

91.

(-2) + (-6) =

a)

+8

b)

-8

c)

+4

d)

-4

92.

The smaller number among the following is:

a)

+2

b)

0

c)

4

d)

+0.1

93.

(-2) + (-6) =

a)

+8

b)

-8

c)

+4

d)

-4

94.

opposite (-2.3) =

a)

+2.3

b)

+3.2

c)

-2.3

d)

-3.2

95.

The greatest number among the following is:

a)

-2

b)

-4

c)

-1

d)

-6

96.

opposite (+5) =

a)

+5

b)

5

c)

-5

d)

0

97.

-10 - 7 =

a)

3

b)

-3

c)

-17

d)

17

98.

-3 + 8 =

a)

5

b)

-5

c)

11

d)

-11

99.

Compare:  - 9 ____  - 1

a)

>

b)

<

c)

=

100.

Order the integers from least to greatest. 4, –4, –2, 2, –8

a)

4, - 4, - 2, 2, - 8

b)

4, 2, - 2, - 4, - 8

c)

- 8, - 4, - 2, 2, 4

d)

8, 2, - 24, - 4