Free Printable 6th Grade Review

1.

Evaluate when x = 3

2x² + 3 - 2x

a)

9

b)

33

c)

15

d)

5

2.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

27

d)

7

3.

What is the solution of a - 5 = 9

a)

14

b)

-4

c)

5

d)

4

4.

Choose the equivalent expression.

6(4c + 5)

a)

24c + 5

b)

24c + 30

c)

4c + 5

d)

4c + 30

5.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

6.

Simplify:
4x + 9y - 2x + 3y + 7

a)

21xy

b)

6x + 12y + 7

c)

2x² + 5y + 7

d)

2x + 12y + 7

7.

Which expression means the same as the phrase below?

Subtract fifteen from the product of two and x

a)

2x - 15

b)

(2 + x) - 15

c)

15 - 2x

d)

15 - (2 + x)

8.

What is the value of 5³ ?

a)

15

b)

25

c)

100

d)

125

9.

Select the values of x that make each equation true.

2x + 5 = 9

a)

x=1

b)

x=2

c)

x=3

d)

x = 7

10.

Chicago has a temperature of −10 degrees Fahrenheit (°F). It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature of Minneapolis

a)

12°F

b)

−12°F

c)

−8°F

d)

18°F

11.

If 9 donuts cost $8.01, what is the unit price per donut?

a)

$0.99

b)

$0.98

c)

$0.89

d)

$1.00

12.

What is the least common multiple (LCM) of 5 and 20?

a)

4

b)

5

c)

20

d)

100

13.

Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?

a)

75

b)

51

c)

36

d)

34

14.

Select all equations with a solution of x=4

a)

3x = 12

b)

x + 7 = 10

c)

45 - x = 5

d)

5x = 25

e)

14 + x = 18

15.

Which expression is equivalent to

12x + 3(x - 2)

a)

15x + 6

b)

12x - 6

c)

15x - 2

d)

15x - 6

16.

Simplify the expression

6(m + 4) + 3(m + 9)

a)

9m + 51

b)

3m + 13

c)

9m - 51

d)

3m -51

17.

A letter/symbol that takes the place of an unknown number.

a)

Fraction

b)

Difference

c)

Proportion

d)

Variable

18.

A number multiplied by itself, and by itself again.

a)

Square

b)

Variable

c)

Cubed

d)

Factor

19.

A quarter of a plane divided by a x and y axis

a)

Quadrant

b)

Grid

c)

Axis

d)

Composite

20.

What is the GCF of 81 & 9 ?

a)

16

b)

9

c)

2

d)

3

21.

What is the LCM of 3 & 5

a)

3

b)

15

c)

8

d)

13

22.

What is 40% of 400?

a)

160

b)

100

c)

90

d)

50%

23.

1/2 is equal to?

a)

75%

b)

50%

c)

28%

d)

100%

24.

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

25.

10 less than the product of a number

a)

10-4

b)

10-3y

c)

3y-10

26.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

27.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

28.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

29.

a)

A

b)

B

c)

C

d)

D

30.

Which of the following temperatures is the COLDEST?
P: -13
Q: 59
R: -15
S: 32

a)

P

b)

Q

c)

R

d)

S

31.

What is A?

a)

84

b)

7

c)

28

d)

82

32.

Find the Greatest Common Factor (GCF) of 14 & 22.

a)

1

b)

2

c)

7

d)

14

33.

Factor Out The GCF to write an equivalent expression: 12+24x

a)

3(4+8x)

b)

12(1+2x)

c)

4(3+6x)

34.

Combine Like Terms:

3x+8b+7x+11+6b=

a)

9x+13b-11

b)

11x+6b+18

c)

10x+14b+11

35.

Combine Like Terms: 12b+15+7b-8+7x=

a)

12b+7-7x

b)

5b+23+7x

c)

19b+7+7x

36.

An equation is given.

2x = 26

Which calculation would need to be done to solve the equation?

a)

Divide both sides by 2.

b)

Divide both sides by 26.

c)

Multiply both sides by 2.

d)

Multiply both sides by 26.

37.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

38.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

39.

There are 75 pieces of candy in a 15 oz bag.

How many pieces are there per ounce?

a)

5 pieces

b)

0.2 pieces

c)

50 pieces

d)

60 pieces

40.

12 is 40% of what number?

a)

30

b)

What?

c)

40

d)

60

41.

Which decimal is equivalent to

a)

0.25

b)

2.5

c)

4.0

d)

0.4

42.

a)

1 ⅜

b)

1 ¾

c)

2 ⅜

d)

1⅕

43.

It is recommended that a person eat no more than 2,400 grams of sodium per day. Andy ate 600 grams of sodium for lunch. What percent of the recommended daily amount does this represent?

a)

½

b)

⅓

c)

⅙

d)

¼

44.

Using the order of operations, what is the value of the expression below?
20 + 5 x 3 - 2

a)

73

b)

26

c)

33

d)

25

45.

Theo has 50 pounds of cookies he needed to evenly distribute into 2.5- pound boxes. How many boxes of cookies can Theo put together?
Which equation models this situation?

a)

2.5 + b = 50

b)

50 - 2.5 = b

c)

2.5b = 50

d)

2.5 ÷ b = 50

46.

a)

(-2,3)

b)

(3,-2)

c)

(3,2)

d)

(2,3)

47.

Which is not an equivalent ratio to compare the number of As to Bs?
A B B A A A B

a)

8:6

b)

4:3

c)

3:4

d)

12:9

48.

In a class, the ratio of boys to girls is 6:5. If there are 18 boys, how many girls are there?

a)

11

b)

24

c)

12

d)

15

49.

A recipe requires 2 cups of milk for every 3 cups of flour. If you use 8 cups of milk, how many cups of flour do you need?

a)

9

b)

12

c)

16

d)

6

50.

For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?

a)

$50

b)

$30

c)

$20

d)

$25

51.

While preparing for a triathlon, Janecia swims 8 minutes for every 20 minutes she bikes. If she swims 72 minutes, how long does she bike for?

a)

180 minutes

b)

144 minutes

c)

92 minutes

d)

80 minutes

52.

Which ratio is equivalent to 12:20

a)

20:12

b)

2:3

c)

3:5

d)

3:10

53.

a)

27

b)

9

c)

1

d)

6

54.

a)

7

b)

8

c)

9

d)

10

55.

Solve for A in the table.

a)

A= 40

b)

A= 10

c)

A= 9

d)

A= 45

56.

Solve for B in the table.

a)

B= 40

b)

B= 10

c)

B= 9

d)

B= 45

57.

Solve for C in the table.

a)

C= 40

b)

C= 10

c)

C= 9

d)

C= 45

58.

Complete the ratio tables

a)

10, 15, 20

b)

15, 20, 25

c)

10, 35, 45

d)

10, 15, 30

59.

If there are 24,000 Maned Wolves, how many Dhole Wolves are there? Use the tape diagrams to solve.

a)

240

b)

2400

c)

2640

d)

24,240

60.

If 30 kids in the class like grape juice, how many kids like pineapple juice? Use the tape diagrams to answer.

a)

4

b)

30

c)

70

d)

40

61.

If there are 120 boys in the group, how many boys and girls are there TOTAL? Use the tape diagrams to solve.

a)

150

b)

270

c)

250

d)

360

62.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

63.

5/8 divided by 3/4

a)

5/6

b)

15/32

c)

10/6

d)

6/5

64.

Simplify the expression using the distributive property.

9(4y - 7)

a)

36y + 63

b)

27y

c)

99y

d)

36y- 63

65.

Which point is located at (-2, -4)?

a)

G

b)

R

c)

T

d)

B

66.

Which point is located at (5,-1)?

a)

T

b)

B

c)

R

d)

K

67.

Find the unit rate.

294 miles every 14 gallons

a)

21 miles per gallon

b)

4,116 miles per gallon

c)

20 miles per gallon

d)

30 miles per gallon

68.

How would you write the following phrase as a number expression?

eight more than triple a number

a)

3n - 8

b)

8 + 3

c)

3n + 8

d)

11n

69.

Which statement represents the expression 3r - 5

a)

The product of 3 and a number less than 5

b)

5 minus the product of 3 and a number

c)

5 less than the product of 3 and a number

d)

The product of 3 and a number subtracted from 5

70.

What is the opposite of -8?

a)

-8

b)

0

c)

8

d)

1/8

71.

What is the GCF of 12 and 16?

a)

4

b)

8

c)

12

d)

2

72.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

73.

Write the ratio in simplest form
12:28

a)

3:7

b)

7:3

c)

6:4

d)

8:5

74.

2⁴- 24 ÷ 3 + 1

a)

-12

b)

9

c)

4

d)

1

75.

A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.

a)

60

b)

90

c)

110

d)

44

76.

Find the distance between the two points.

(4,3) and (-1,3)

a)

5

b)

3

c)

-5

d)

-3

77.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

78.

6/7 divided by 3/7

a)

18/7 or 2 4/7

b)

2

c)

3/2 or 1 1/2

d)

1 2/7

79.

Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can Valerie cut?

a)

13

b)

6

c)

9

d)

This is not possible.

80.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

81.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

82.

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

a)

Sargento

b)

Velveeta

83.

Oreos $2.98 for 15.5 oz.

or

Chips Ahoy $2.50 for 14 oz.

Find the unit price of each and choose the better deal.

a)

Oreos

b)

Chips Ahoy

84.

Doritos $4.39 for 11.5 oz.
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.

a)

Doritos

b)

Cheetos

85.

Coca-Cola $1.29 for 1.25 L
or
Pepsi $2.49 for 2L
Find the unit price of each and choose the better deal.

a)

Pepsi

b)

Coca-Cola

86.

Cheerios $3.68 for 17 oz.
or
Apple Jacks $2.89 for 13 oz.
Find the unit price of each and choose the better deal.

a)

Cheerios

b)

Apple Jacks

87.

Kidney beans $1.18 per lb.
or
Lima beans $2.13 for 2 lb.
Find the unit price of each and choose the better deal.

a)

Kidney beans

b)

Lima beans

88.

Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?

a)

$1.30

b)

$6.50

c)

$13.00

d)

$0.65

89.

A florist sells a dozen roses for $29.88. What is the cost of one rose?

a)

$2.41

b)

$2.49

c)

$2.40

d)

$2.08

90.

The model represents a division problem. Which equation is represented by the model?

a)

A

b)

B

c)

C

d)

D

91.

A bookstore is selling books for $10 each. Which graph shows the relationship between the number of books, x, the store sold and the total amount of money, y, paid from the book sales?

a)

A

b)

B

c)

C

d)

D

92.

Which expression is equivalent to 5(6x + 3y)

a)

11x + 3y

b)

11x + 8y

c)

30x + 3y

d)

30x + 15y

93.

What is the greatest common factor of 42 and 84?

a)

7

b)

21

c)

42

d)

84

94.

What is the least common multiple of 4 and 10?

a)

14

b)

20

c)

40

d)

60

95.

Two whole numbers have a least common multiple of 60.

Each number is less than or equal to 12.
The greatest common factor of the two numbers is 2.

What are the two numbers?

a)

6 and 10

b)

5 and 12

c)

10 and 12

d)

12 and 15

96.

Which coordinate grid shows point M plotted at (4, 3)?

a)

A

b)

B

c)

C

d)

D

97.

What are two integers with an absolute value of 15?

a)

15 and -10

b)

30 and 15

c)

15 and -15

d)

0 and -15

98.

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

99.

Compare these integers. Which inequality is true.

a)

-3 > 0

b)

2 > -5

c)

-3 < -8

d)

0< -2

100.

What is the opposite of -3?

a)

3

b)

0

c)

-1/3

d)

1/3

101.

Compare: -3 ___ -5

a)

-3 > -5

b)

-3 = -5

c)

-3 < -5

102.

Which is greater?
-9 or -3

a)

-3

b)

-9

c)

they are equal

103.

Monday's temperature was -3°F and Tuesday's was -5°F. Which day was colder?

a)

neither they were equal

b)

Monday

c)

Tuesday

d)

Friday

104.

Which integer represents this situation? You hike 100 feet down a mountain.

a)

100 ft.

b)

-100 ft.

c)

10 ft.

d)

-10 ft.

105.

Marty read x books. Jackie read 28 books, which is 6 more than the number of books Marty read. The equation below can be used to find the number of books Marty read.

x + 6 = 28

Ron read 3 times as many books as Marty. How many books did Ron read?

a)

22

b)

34

c)

66

d)

78

106.

The table shows the relationship between the number of tables and the number of chairs in each of three meeting rooms of an office building.

Which equation describes the relationship between the number of tables and the number of chairs in each meeting room?

a)

c = 3t

b)

c = 8t

c)

c = 21t

d)

c = 24t

107.

What is the distance between (3,10) and (3,-8) on a coordinate grid?

a)

2

b)

3

c)

18

d)

8

108.

A container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup of lemonade. He gives away all of the lemonade. How many students did Asher give lemonade to?

a)

30

b)

15

c)

21

d)

10

109.

Jason makes a fruit salad using only strawberries and blueberries.

The ratio of strawberries to blueberries in the salad is 4 cups to 5 cups.

Which statement describes the contents of Jason's fruit salad?

a)

Strawberries make up 4/5 of the fruit salad.

b)

Blueberries make up 5/9 of the fruit salad.

c)

There are 5 strawberries for every 4 blueberries.

d)

There is always 1 more cup of blueberries than strawberries.

110.

Luis and Erin are playing a grade. They both start at 0 points. At the end of the game Luis had 250 points and Erin has -250 points.

Which statement about the game is true?

a)

Erin has lost 250 points.

b)

Luis has 250 more points than Erin.

c)

They have a combined total of 500 points.

d)

Erin and Luis have an equal amount of points.

111.

Points A and B are shown.

What is the distance, in units, between point A and point B?

a)

5

b)

12

c)

10

d)

20

112.

A printer prints 75 pages in 5 minutes. At the same rate, how many pages will the printer print in 7 minutes?

a)

15 pages

b)

75 pages

c)

105 pages

d)

225 pages

113.

Casey has a total of 18 pens. Twelve of the pens are blue and the rest are red.

What is the ratio of blue pens to red pens?

a)

1 : 2

b)

2 : 1

c)

2 : 3

d)

3 : 2

114.

An expression is shown.

5n

What word describes the 5 in the expression?

a)

Coefficient

b)

Constant

c)

Variable

d)

Exponent

115.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

116.

Which point is located in Quadrant 2?

a)

A

b)

B

c)

C

d)

D

117.

Which point is in Quadrant IV?

a)

C

b)

A

c)

K

d)

B

6th Grade Review

Total questions: 117

Worksheet time: 6hrs 15mins

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