Free Printable 6th grade review

1.

What does GCF mean?

a)

Great Cookie Fever

b)

Greatest Compared Factor

c)

Greatest Common Multiple

d)

Greatest Common Factor

2.

Fill in the blanks: Least ___________ _____________

a)

common multiplier

b)

common multiple

c)

common factor

3.

What is the greatest common factor of 15 and 36?

a)

6

b)

8

c)

4

d)

3

4.

Find the Greatest Common Factor (GCF) OF 32 and 64.

a)

1

b)

2

c)

4

d)

32

5.

Which is the GCF of 4 and 12?

a)

2

b)

4

c)

12

6.

Find the least common multiple (LCM) of 2 and 3

a)

2

b)

3

c)

6

d)

12

7.

Find the least common multiple (LCM) of 2 and 12.

a)

2

b)

4

c)

6

d)

12

8.

What is the least common multiple of 9 and 6?

(a)

9.

Bill cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

a)

2

b)

3

c)

4

10.

Every third visitor to a museum gets a free bumper sticker. Every fifth visitor to that museum gets a free key chain. Which visitor each day will be the first one to get both the bumper sticker and the key chain?

a)

3rd

b)

5th

c)

15th

11.

A prime number is:

a)

A number that is made only by multiplying 1 and itself.

b)

An odd number.

c)

A popular number.

d)

The least common multiple of two numbers.

12.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

13.

The exponent equivalent of 20 x 20 x 20 is:

a)

20 x 3

b)

20³

c)

3²⁰

d)

2000

14.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

15.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

16.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

17.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

18.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

19.

How would you say $2^6$ in word form?

a)

Six to the second power

b)

Two and six

c)

Two to the sixth power

d)

64

20.

Find the distance between the two ordered pairs.

a)

6

b)

5

c)

7

d)

13

21.

What are the coordinates of this point?

a)

(3, -2.5)

b)

(-3, -3.5)

c)

(-3, 2.5)

d)

(-3, -2.5)

22.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

No Quadrant

23.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

24.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

25.

What is the coordinate for letter M?

a)

(0,-6)

b)

(0,0)

c)

(6,6)

d)

(-6,0)

26.

What is the ordered pair for the letter A?

a)

(2, 4)

b)

(4, 2)

c)

(-2, 4)

d)

(2, -4)

27.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

28.

What is the opposite of -9?

a)

9

b)

1/9

c)

0

d)

-9

29.

What is the opposite of 3?

a)

-3

b)

0

c)

3

d)

1/3

30.

Evaluate:

I 5 I

a)

5

b)

-5

31.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

32.

A number GREATER than 0.

a)

positive number

b)

negative number

c)

integer

d)

signed number

33.

A number LESS than 0.

a)

positive number

b)

negative number

c)

integer

d)

signed number

34.

Express an integer: a debt of $50

a)

50

b)

-50

35.

Express an integer: a withdrawal of $100

a)

100

b)

-100

36.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

37.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

38.

-13 < -22

a)

True

b)

False

39.

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

40.

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

41.

Which symbol means "less than"?

a)

<

b)

>

c)

<

d)

>

42.

Which symbol means "greater than"?

a)

<

b)

>

c)

<

d)

>

43.

Write an inequality for the following statement.
n is less than 9

a)

n < 9

b)

n > 9

c)

n ≤ 9

d)

n ≥ 9

44.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

45.

Write an inequality for this situation:
You must be at least 18 years old to join the military.

a)

x > 18

b)

x < 18

c)

x ≥ 18

d)

x ≤ 18

46.

Translate the word phrase:
The speed limit is 45 miles per hour.

a)

x > 45

b)

x < 45

c)

x ≤ 45

d)

x ≥ 45

47.

Translate the word phrase:
The capacity of the elevator is 2000 pounds.

a)

x > 2000

b)

x < 2000

c)

x ≤ 2000

d)

x ≥ 2000

48.

you must be a minimum of 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

49.

0.2 x 0.8

a)

16

b)

0.16

c)

0.016

d)

1.6

50.

7.13 x 5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

51.

5.78 x 3.5

a)

0.223

b)

2.23

c)

22.3

d)

20.23

52.

3.5 x 4.92

a)

17.32

b)

17.22

c)

1.72

d)

0.1722

53.

Calculate
7.8÷0.03

a)

2.6

b)

26

c)

260

d)

.26

54.

1.44 ÷ 0.4

a)

36

b)

3.6

c)

126

55.

0.15 ÷ 0.3

a)

0.5

b)

0.05

c)

5

d)

0.15

56.

36.8 ÷ 0.2

a)

18.4

b)

184

c)

18.04

d)

1.84

57.

1.8 ÷ 0.6

a)

0.6

b)

3

c)

0.3

d)

0.96

58.

Write your answer as a mixed number...

Simplify your answer as much as possible....

a)

3 ¹/₃

b)

2 ²/₃

c)

3 ²/₃

d)

¹⁰/₃

59.

Convert to a mixed number:

a)

4 2/5

b)

3 9/5

c)

4 4/5

d)

4/5

60.

Multiply.

a)

5 / 18

b)

16 / 15

c)

28 / 9

d)

4 / 9

61.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

62.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

63.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

64.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

65.

Word that means opposite. We use this word when talking about "un-doing" an equation to solve it.

a)

Reciprocal

b)

Operation

c)

Inverse

d)

quadrant

66.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

67.

Solve for x:

x + 19.46 = 245.3

a)

264.76

b)

12.6

c)

50.7

d)

225.84

68.

a)

6.1

b)

12.7

c)

-11.2

d)

27.3

69.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

70.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

6th grade review

Total questions: 70

Worksheet time: 6hrs 50mins

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