Free Printable Mega 6th Grade Review

1.

What are factors?

a)

The top number in a fraction.

b)

The numbers multiplied together to make a product.

c)

The bottom number in a fraction.

d)

Angles smaller than 90 degrees.

2.

Are there any numbers that are neither prime nor composite?

a)

Yes

b)

No

3.

Which one is a composite number?

a)

37

b)

41

c)

21

d)

29

4.

Which number below is NOT prime?

a)

2

b)

11

c)

13

d)

18

5.

Which number is NOT a factor of 10?

a)

1

b)

2

c)

3

d)

5

6.

What are all prime numbers divisible by?

a)

1, 2, and itself

b)

1 and itself

c)

Every number from 1-10

d)

They aren't divisable at all

7.

What makes a number a composite number?

a)

It only has 2 factors 1 and itself.

b)

It is an even number.
It is an odd number.

c)

Is is an odd number.

d)

It has more than two factors.

8.

Which list has only prime numbers?

a)

2, 3, 4, 5

b)

1, 5, 7, 9

c)

2, 3, 5, 7

d)

2, 4, 6, 8

9.

Which list is only composite numbers?

a)

1, 3, 4

b)

2, 4, 6

c)

4, 6, 8

d)

5, 6, 8

10.

Four students each made a list of prime numbers.
Eric: 5, 7 17, 23
Maya: 3, 5, 13, 17
Bella: 2, 3, 17, 19
Joan: 7, 11, 13, 21
Who made an error and included a composite number?

a)

Eric

b)

Maya

c)

Bella

d)

Joan

11.

One is

a)

Prime

b)

Composite

c)

Neither

12.

Use a factor tree or cake method to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

13.

Use a factor tree or cake method to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4

14.

Use a factor tree or cake method to find the prime factorization of 64

a)

4x4x4

b)

4x4x2x2

c)

2x2x2x2x2x2

d)

4x4x2x1

15.

Use a factor tree or cake method to find the prime factorization of 33

a)

33

b)

11x3

c)

10x3

d)

3x3x3x2

16.

What number is never allowed in a factor tree?

a)

13 (it's bad luck!)

b)

1

c)

8675309

d)

2

17.

2 x 2 x 2 or 2³is the prime factorization of

a)

6

b)

12

c)

22

d)

8

18.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

19.

In a power, an _______ is the the number that tells how many times the base is used as a factor.

a)

exponent

b)

base

c)

composite number

d)

prime number

20.

Any base to the power of 1 equals...

a)

-1

b)

the base

c)

0

d)

1

21.

What is a Prime Number?

a)

A number that has more than two factors

b)

An Odd Number

c)

A number that only has two factors; one and itself.

d)

An online store with free shipping

22.

GCF 15 and 36

a)

8

b)

6

c)

3

d)

4

23.

GCF of 32 and 40

a)

2

b)

4

c)

6

d)

8

24.

GCF of 16 and 18

a)

4

b)

2

c)

6

d)

8

25.

GCF of 50 and 100

a)

10

b)

25

c)

50

d)

5

26.

GCF of 18 and 24

a)

2

b)

3

c)

4

d)

6

27.

GCF of 18 and 24

a)

2

b)

3

c)

4

d)

6

28.

What is the GCF of 36 and 24?

a)

6

b)

12

c)

8

d)

9

29.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

30.

What is the Least Common Multiple of 4 and 7?

a)

24

b)

49

c)

11

d)

28

31.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

32.

What is the Least Common Multiple of 5 and 2?

a)

6

b)

20

c)

10

d)

25

33.

What is the Least Common Multiple of 6 and 10?

a)

16

b)

60

c)

30

d)

20

34.

What is the Least Common Multiple of 10 and 6?

a)

20

b)

120

c)

60

d)

30

35.

What is the Least Common Multiple of 7 and 2?

a)

14

b)

9

c)

21

d)

35

36.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

37.

12(3 + 4) =

a)

36 + 48

b)

15 + 16

c)

123 + 124

d)

0.84

38.

Which expression uses the greatest common factor and distributive property to express
54 + 90?

a)

9 ( 6 + 10 )

b)

9 ( 6 + 90 )

c)

30 ( 24 + 60 )

d)

18 ( 3 + 5 )

39.

Rewrite using distributive property and GCF.
16 + 24

a)

2(8+12)

b)

3(5+8)

c)

4(4+6)

d)

8(2+3)

40.

The equation is shown. What FACTOR is missing from the equation?

30 + 12 = __(5 + 2)

a)

6

b)

8

c)

2

d)

4

41.

What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9 x (2 + 10)

a)

identity

b)

associative

c)

commutative

d)

distributive

42.

24x(4-2)÷6

a)

8

b)

2

c)

6

d)

5

43.

7x(7-4)÷3

a)

8

b)

6

c)

7

d)

5

44.

(24-16)÷8

a)

8

b)

1

c)

2

d)

7

45.

4x5÷2-1

a)

8

b)

9

c)

15

d)

6

46.

16÷2x4-3

a)

5

b)

-1

c)

25

d)

29

47.

(4x8)-(9+7)

a)

16

b)

25

c)

41

d)

32

48.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

49.

Which operation is performed SECOND?
(13 - 1) + 4

a)

addition +

b)

subtraction -

c)

multiplication X

50.

Which operation is performed FIRST?
44 ÷ 2 X (3 -1)

a)

muliplication X

b)

division ÷

c)

subtraction -

51.

Which operation is performed SECOND?
(32 ÷ 8) + 27 - 11

a)

division ÷

b)

addition +

c)

subtraction -

52.

the operation to find the number in each group or the number of equal groups

a)

divide / division

b)

dividend

c)

divisor

d)

remainder

e)

quotient

53.

the number to be divided (the total)

a)

divide / division

b)

dividend

c)

divisor

d)

remainder

e)

quotient

54.

the number we are dividing by

a)

divide / division

b)

dividend

c)

divisor

d)

remainder

e)

quotient

55.

the answer to a division problem

a)

divide / division

b)

dividend

c)

divisor

d)

remainder

e)

quotient

56.

the amount left after dividing a number into equal parts

a)

divide / division

b)

dividend

c)

divisor

d)

remainder

e)

quotient

57.

the number 4 is the -

a)

divisor

b)

dividend

c)

quotient

d)

remainder

58.

the number 5 is the -

a)

divisor

b)

dividend

c)

quotient

d)

remainder

59.

the number 2 is the -

a)

divisor

b)

dividend

c)

quotient

d)

remainder

60.

the number 22 is the -

a)

divisor

b)

dividend

c)

quotient

d)

remainder

61.

In the problem, 456 / 2 = 228, the number 456 is the

a)

Divisor

b)

Dividend

c)

Quotient

d)

Remainder

62.

In the problem, 456 / 2 = 228, the number 2 is the

a)

Quotient

b)

Remainder

c)

Divisor

d)

Dividend

63.

______________ and _______________ are inverse operations.

a)

Addition, Division

b)

Subtraction, Multiplication

c)

Division, Multiplication

d)

Division, Subtraction

64.

1,025÷68

a)

16

b)

16R2

c)

15R2

d)

15R5

65.

14,124÷44

a)

321

b)

322

c)

341

d)

342

66.

7200 $\div$ 8 =

a)

900

b)

9000

c)

90

67.

2,156 ÷ 44

a)

50

b)

49

c)

49 R14

d)

50 R 3

68.

What is the error in the math problem?

a)

19 goes in to 136 more than 7 times

b)

1368 divided by 19 has a remainder

c)

They never brought down their 6 in the dividend, only the 8

69.

What are three types of fractions?

a)

proper fractions

b)

improper fractions

c)

mixed numbers

d)

all of the above

70.

When the numerator is less than the denominator is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

71.

When the numerator is greater than or equal to the denominator is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

72.

A whole number and a fraction together is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

73.

Select the improper fractions

a)

2/5

b)

5/2

c)

15/12

d)

12/15

74.

Select the mixed number

a)

3¼

b)

2⅚

c)

7/8

d)

8/6

75.

When converting an improper fraction into a mixed number, you____ the numerator by the denominator.

a)

add

b)

subtract

c)

multiply

d)

divide

76.

When converting the mixed number, after you multiply the whole number by the denominator, you___ the product and the old numerator together to become a new numerator of the improper fraction.

a)

add

b)

subtract

c)

multiply

d)

divide

77.

In converting the improper fraction into a mixed number, after you divide the numerator by the denominator, you put the _____ as a new numerator

a)

dividend

b)

divisor

c)

quotient

d)

remainder

78.

Write 9/5 as a mixed number.

a)

1 4/5

b)

1 4/9

c)

5 1/4

d)

4 1/5

79.

Write 3/2 as a mixed number.

a)

1 1/4

b)

3/4

c)

1 1/2

d)

2 1/3

80.

Write 10/3 as a mixed number.

a)

1 1/3

b)

3 1/3

c)

6 4/3

d)

2 4/10

81.

Write 20/5 as a mixed number.

a)

5

b)

1/4

c)

4 1/4

d)

4

82.

Write
4 1/4
as an improper fraction.

a)

17/2

b)

17/4

c)

16/4

d)

16

83.

Write
5 2/5
as an improper fraction.

a)

1/2

b)

5

c)

27/5

d)

25/5

84.

a)

14/16

b)

7/8

c)

8/7

d)

4/10

85.

Find the sum. Be sure you have the most simplified answer.

a)

7 5/8

b)

6 1/8

c)

8 2/8

d)

Not here

86.

Add the fractions

a)

23/10

b)

7/7

c)

7/10

d)

8/15

87.

Add the fractions

a)

6/6

b)

6/12

c)

5/6

d)

6/36

88.

Kayla ate 3/12 of a watermelon. Jordyn ate 1/12 of the watermelon. Then April ate 1/4 of the watermelon. How much of the watermelon did they eat?

a)

6/12

b)

7/36

c)

4/12

d)

7/12

89.

After dinner, Joe and his family eat 1/2 of Joe's birthday cake. Then, Joe eats another 1/8 of the cake for breakfast the following morning and his brother eats 1/4 of it. How much of the cake has been eaten?

a)

1 1/8

b)

7/8

c)

1

d)

9/16

90.

Oscar began his pizza delivery route with 4/6 of a tank of gas in his car. When he made it back to the pizzeria, 2/6 of a tank of gas was left. How much gas did Oscar use making the deliveries?

a)

1/6 tanks

b)

1/3 tanks

c)

1/4 tanks

d)

2/4 tanks

91.

Kristen watched a beetle and a spider on the sidewalk. The beetle crawled 2/3 of a yard and the spider crawled 1/3 of a yard. How much farther did the beetle crawl than the spider?

a)

1/3 yard

b)

2/3 yard

c)

3/6 yard

d)

3/3 yard

92.

Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3. How much of the pie was left?

a)

1/18

b)

2/9

c)

1/2

d)

2/3

93.

8/9 - 1/3 =

a)

7/6

b)

5/9

c)

2/3

d)

8/27

94.

$\frac{5}{8}-\frac{3}{8}=$

a)

$\frac{2}{0}$

b)

$\frac{2}{8}$

c)

$2$

d)

$\frac{2}{16}$

95.

Multiply and simplify if possible.

a)

⅝

b)

¼

c)

2 ⅓

d)

⅘

96.

Multiply and simplify if possible.

a)

1

b)

⁶ / ₁ ₃

c)

2 ⅓

d)

2 ⅙

97.

Divide and simplify if possible.

a)

¹ / ₂ ₄

b)

⅛

c)

⅜

d)

² / ₁ ₁

98.

Divide and simplify if possible.

a)

1 ½

b)

⅓

c)

⅔

d)

- ⅔

99.

a)

2 days

b)

4 days

c)

8 days

d)

16 days

100.

a)

1/10

b)

1/2

c)

2

d)

5

101.

1 ½ ÷ ½ =

a)

⅓

b)

1 ¼

c)

3

d)

3/4

102.

What is the reciprocal of 2 ?

a)

2/1

b)

1/2

c)

2

d)

none of the above

103.

What is the rule for dividing fractions?

a)

keep, change, opposite

b)

keep, change, flip (reciprocal)

c)

keep, keep, change

d)

keep, keep, opposite

104.

4 ÷ 1/4 =

a)

8

b)

1/8

c)

1/16

d)

16

105.

When dividing a fraction by whole number the answer will be ______________.

a)

a smaller fraction.

b)

a larger fraction.

106.

1/2 divided by 3/4

a)

3/2

b)

2/3

c)

1 1/2

d)

3/8

107.

In the expression 5x -2, 5 is a...

a)

Constant

b)

Coefficient

c)

Term

d)

Variable

108.

In the expression 5x - 2, -2 is a...

a)

Constant

b)

Coefficient

c)

Term

d)

Variable

109.

In the expression 5x - 2, x is a...

a)

Constant

b)

Coefficient

c)

Term

d)

Variable

110.

A mathematical phrase that can contains ordinary numbers, variables (like x or y), and/or operators (like add, subtract, multiply, and divide) is called...

a)

Algebraic Expression

b)

Algebraic Equation

c)

Term

d)

Math sentence

111.

A letter or symbol used in place of a quantity we don’t know yet. It is usually a letter like x or y.

a)

Term

b)

Coefficient

c)

Variable

d)

Constant

112.

A number used to multiply a variable.

a)

Term

b)

Coefficient

c)

Variable

d)

Constant

113.

A number on its own; it stays fixed in an expression.

a)

Term

b)

Coefficient

c)

Variable

d)

Constant

114.

An expression is made up of one or more of these; a number by itself or the product of a number and variable(s); separated by a + or – symbol.

a)

Term

b)

Coefficient

c)

Variable

d)

Constant

115.

Name the constant in 10x + 3

a)

10

b)

x

c)

10x

d)

3

116.

Name the coefficient in 10x + 3

a)

10

b)

x

c)

10x

d)

3

117.

The difference of 3 times a number and 7

a)

3 + 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

118.

a number increased by eighteen

a)

18n

b)

n+18

c)

18-n

d)

18/n

119.

the sum of fifty-two and a number

a)

n-52

b)

52 + n

c)

52/n

d)

52n

120.

w increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

w / 5

121.

2 times the sum of y and 5

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 - y + 5

122.

What is the correct term for the answer you get when you multiply?

a)

Product

b)

Quotient

c)

Sum

d)

Difference

123.

a number more than 12

a)

n - 12

b)

12n

c)

12 + n

d)

12 - n

124.

What is the correct term for the answer you get when you divide?

a)

Product

b)

Quotient

c)

Sum

d)

Difference

125.

What is the correct term for the answer you get when you subtract?

a)

Product

b)

Quotient

c)

Sum

d)

Difference

126.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

127.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

128.

7y+2y

(a)

129.

12a-5a

(a)

130.

2h-9h+5h

(a)

131.

6w-12-w+11

a)

5w-1

b)

5w+1

c)

7w-1

d)

7w+1

132.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

133.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

134.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

135.

What is a unit rate?

a)

Two unlike things compared to each otehr

b)

How often something occurs

c)

A rate expressed as something per two

d)

A rate expressed as something per one

136.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

137.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

c)

They are the same

138.

The car travels 440 miles in 8 hours. What is the unit rate?

a)

12 miles in 1 hour

b)

55 miles in 1 hour

c)

110 miles in 1 hour

d)

44 miles in 1 hour

139.

You have 4 footballs, 6 baseballs and 10 golf balls. Write a ratio of baseballs to total balls in simplest form.

a)

6 to 10

b)

3 to 5

c)

3 to 2

d)

3 to 10

140.

There are 24 dogs to 18 cats at the pet day care. Write the ratio of cats to dogs.

a)

3:4

b)

24:18

c)

12:9

d)

4:3

141.

Your parents asked you to calculate miles per gallon for the family road trip. They drove 256 miles with 8 gallons of gas. How many miles per gallon?

a)

16 miles per gallon

b)

42 miles per gallon

c)

24 miles per gallon

d)

32 miles per gallon

142.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

143.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

144.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

145.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

146.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

147.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

148.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

149.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

150.

Solve the equation:
0 = 4h

a)

h = 4

b)

g = 1

c)

g = -4

d)

g = 0

151.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

152.

Twice a number is 24.

a)

2n = 24

b)

2/n = 24

c)

2 + n = 24

d)

2 - n = 24

153.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

154.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

155.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

156.

What is the area of the shape?

a)

35 units squared

b)

24 units squared

c)

not enough information

d)

22 units squared

157.

The drawing shows points ^A,B, and ^C. At what location would you add point ^{D to create a square ?}

a)

( 2,1 )

b)

(4,5)

c)

( 5, 4 )

d)

( 5, 10 )

158.

What is the area of the rectangle?

a)

12 units²

b)

10 units²

c)

5 units²

d)

6 units²

159.

Which point is at (6,0)

a)

Point A

b)

Point B

c)

Point C

d)

Point D

160.

What is the ordered pair of Point E?

a)

(4,7)

b)

(3,7)

c)

(7,4)

d)

(7,3)

161.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

162.

In which quadrant is the following point?
(-3, 12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

163.

In the quadrant lV, the X value is always ____, and the Y value is always _____?

a)

positive , negative

b)

negative, negative

c)

negative , positive

d)

positive , positive

164.

The point (-2, -3) is in which quadrant?

a)

1

b)

2

c)

3

d)

4

165.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

166.

Where is point B located?

a)

(6, -4)

b)

(4, -6)

c)

(-4, 6)

d)

(6, 4)

167.

Name the coordinate for letter T.

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

Mega 6th Grade Review

Total questions: 167

Worksheet time: 7hrs 45mins

Similar Resources on Wayground