Free Printable Math Mastery 6th Grade

1.

Select all of the characteristics of a parallelogram

a)

Four sides

b)

All angles are right angles

c)

Two pairs of parallel sides

d)

Three sides

2.

What is the area of this parallelogram?

a)

60 sq in

b)

30 sq in

c)

25 sq in

d)

50 sq in

3.

What is the area of this triangle?

a)

84 square units

b)

70 square units

c)

35 square units

d)

42 square units

4.

What is the surface area of this rectangular prism?

a)

60 sq cm

b)

47 sq cm

c)

94 sq cm

d)

100 sq cm

5.

Select ALL of the following ratios that are equivalent to 9:3

a)

3:9

b)

3:1

c)

18:6

d)

12:6

6.

4 movie tickets cost $48. At this rate, what is the cost of 5 tickets?

a)

$65

b)

$53

c)

$60

d)

$50

7.

At the zoo, there are 3 monkeys for every elephant. How many elephants are there if there are 36 monkeys?

a)

14

b)

10

c)

15

d)

12

8.

At the auto shop, 4 tires cost $300. What is the cost per tire?

a)

$75

b)

$100

c)

$125

d)

$1200

9.

During a sale, all video games are 15% off. If you buy a game with an original price of $60, how much would you save?

a)

$6

b)

$9

c)

$12

d)

$15

10.

Solve: $\frac{3}{4}\div\frac{2}{3}$

a)

$\frac{9}{8}$

b)

$\frac{6}{12}$

c)

$\frac{1}{2}$

d)

$\frac{9}{4}$

11.

Mr. Sharp is $6\frac{1}{3}$ feet tall. His dog is 2 feet tall. How many times his dog's height is Mr. Sharp's height?

a)

$3\frac{1}{6}$

b)

3

c)

$2\frac{2}{3}$

d)

$3\frac{1}{2}$

12.

Solve: $3.245\ -1.43$

a)

1.815

b)

4.675

c)

3.102

d)

2.756

13.

$Solve:\ 6.21\times4.2$

a)

26.082

b)

37.26

c)

25.124

d)

29.896

14.

A piece of rope is 12.24 inches long. You cut it into 4 equal size pieces. How long is each piece?

a)

8.24 inches

b)

3.06 inches

c)

16.24 inches

d)

48.96 inches

15.

What is the solution to $x+3=12$

a)

x = 15

b)

x = 10

c)

x = 9

d)

x = 4

16.

What is the solution to $6x=42$

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 36

17.

Select all equations where x = 7 is a solution.

a)

$x+6=13$

b)

$7x=14$

c)

$x^2=49$

d)

$5x=35$

e)

$x\div7=1$

18.

Select all expression that are equivalent to $3^5$

a)

$3\times3\times3\times3\times3$

b)

$3\times5$

c)

15

d)

243

e)

$5\times5\times5$

19.

What are the coordinates of the plotted point?

a)

(5, 2)

b)

(-5, 2)

c)

(5, -2)

d)

(-5, -2)

20.

Select all expressions that are equivalent to $\left|-13.8\right|$

a)

13.8

b)

-13.8

c)

$\left|13.8\right|$

21.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

22.

Find the median of these numbers:
4, 2, 7, 4, 3

a)

2

b)

5

c)

7

d)

4

23.

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

a)

G

b)

Z

c)

K

d)

None of the above

24.

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

25.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

26.

Jenny has 7 apples. if she gives away 2. and then gets 5 more apples. how much apples would she have?

a)

35

b)

17

c)

10

d)

7

27.

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.

28.

What is the opposite of -3.2?

a)

0

b)

6.4

c)

3.2

d)

-3.2

29.

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

30.

An expression is shown.

6n

What is the value of the expression if n=7?

a)

67

b)

13

c)

42

d)

48

31.

An expression is shown.

5n

What word describes the 5 in the expression?

a)

Coefficient

b)

Constant

c)

Variable

d)

Exponent

32.

Which of these numbers is a multiple of 4?

a)

2

b)

9

c)

15

d)

20

33.

What are the multiples of 9?

a)

9, 12, 15, 18, 21

b)

9, 18, 27, 36, 45, 54

c)

3, 6, 9, 12, 15, 18

d)

9, 19, 29, 39, 49, 59

34.

The number on the top of a fraction is called what?

a)

Numerator

b)

Denominator

35.

The number on the bottom of a fraction is called what?

a)

Numerator

b)

Denominator

36.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

37.

Translate 3f into a verbal description.

a)

3 added to f

b)

3 multiplied by f

c)

3 to the power of f

d)

3 plus f

38.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

39.

Use the graph to find the coordinate pair (x,y) which describes the location of the Blue Beach.

a)

( 2, 4)

b)

( 2, -5)

c)

( 4, 5)

d)

( 4, 2)

40.

Solve the proportion.

a)

x = 16

b)

x = 5

c)

x = 24

d)

x = 48

41.

a)

11.5

b)

5.5

c)

10

d)

8

42.

A net is shown. Which three dimensional figure is represented by the net?

a)

b)

c)

d)

43.

The numerical average of a data set

a)

Mode

b)

Mean

c)

Range

d)

Median

44.

The data value that occurs most frequently

a)

mode

b)

median

c)

range

d)

mean

45.

The middle value of a data set ranked in order

a)

mean

b)

mode

c)

range

d)

median

46.

the measure of the distance around a figure

a)

range

b)

perimeter

c)

volume

d)

divisor

47.

The number of square units needed to cover a surface or figure

a)

quotient

b)

volume

c)

area

d)

perimeter

48.

A plane in which a horizontal number line & a vertical number line intersect at the origin

a)

quadrant

b)

integer

c)

coordinate plane

d)

absolute value

49.

a symbol used to represent an unknown quantity

a)

expression

b)

variable

c)

quadrant

d)

order of operations

50.

a representation of quantity

a)

ordered pair

b)

absolute value

c)

variable

d)

expression

51.

when two quantities vary directly with each other

a)

reciprocal

b)

mean

c)

integer

d)

proportion

52.

A number sentence the uses less than, greater than, less than or equal, or greater than or equal

a)

expression

b)

inequality

c)

parallel

d)

equation

53.

Number of units of the first quantity of a ratio compared to 1 unit of the second quantity

a)

expression

b)

sum

c)

unit rate

d)

product

54.

the number that comes before the variable

a)

coefficient

b)

constant

c)

exponent

d)

inverse

55.

compares two quantities

a)

ratio

b)

unit rate

c)

improper fraction

d)

proper fraction

56.

the same shape and same size

a)

congruent

b)

area

c)

volume

d)

base

57.

Formula for area of a trapezoid

a)

A = ½ bh

b)

A = bh

c)

A = ½ h (b₁ + b₂)

d)

A = π r²

58.

Jenny has 7 apples. if she gives away 2. and then gets 5 more apples. how much apples would she have?

a)

35

b)

17

c)

10

d)

7

59.

what is the GCF of 12 & 30

a)

9

b)

12

c)

6

d)

3

60.

There are 5 boys and 15 girls in a class. what is the ratio of girls to boys?

a)

5:10

b)

1:3

c)

15:5

d)

10:20

61.

john is a teen and his 2 friends are going to the movies.it cost $10 for two adults. and it cost $6.00 for three teens. if one of john's friends is a adult, how much would it cost for all of them to go?

a)

9

b)

23

c)

12

d)

4

62.

What is A?

a)

84

b)

7

c)

28

d)

82

63.

more than

a)

<

b)

>

c)

≤

d)

≥

64.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

65.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

66.

5³

a)

15

b)

25

c)

125

d)

120

67.

3³ - 18 ÷ 2

a)

18

b)

4

c)

5

d)

4.5

68.

2³ + 3 x 6

a)

24

b)

54

c)

66

d)

26

69.

Greatest Common Factor (GCF) of 45 and 27

a)

7

b)

9

c)

15

d)

12

70.

Least Common Multiple (LCM) of 6 and 7

a)

24

b)

49

c)

42

d)

36

71.

1/4 + 2/5

a)

14/18

b)

3/20

c)

13/20

d)

3/9

72.

6/7 - 1/3

a)

11/21

b)

5/4

c)

7/21

d)

12/17

73.

3/4 x 5/6 (in simplest form)

a)

5/8

b)

15/24

c)

7/10

d)

5/6

74.

3/7 ÷ 5/8

a)

15/56

b)

15/48

c)

24/30

d)

24/35

75.

19.8 + 4.37

a)

24.17

b)

24.07

c)

14.17

d)

23.17

76.

14 - 3.2

a)

16.3

b)

11.3

c)

10.8

d)

11.8

77.

7.5 x 5.3

a)

0.3975

b)

3.975

c)

39.75

d)

397.5

78.

Simplify the expression: 4k + 5k

a)

5k + 4

b)

9k

c)

9

d)

4 + k + 5

79.

Simplify the expression: 9b - 2b + 4 + 7

a)

22b

b)

9b + 5

c)

11b + 11

d)

7b + 11

80.

Simplify the expression: 3x + 8 + 4x - 2

a)

11x + 2

b)

7x = 6

c)

7x + 11

d)

7x + 6

81.

Simplify the expression: 2(4x)

a)

2 + 4x

b)

8x

c)

8 + 2x

d)

8 + x

82.

Simplify the expression: 2(n + 3)

a)

2n + 6

b)

2n + 3

c)

n + 6

d)

n + 5

83.

Simplify the expression: 4(j - 8)

a)

4j + 31

b)

4j - 32

c)

4j - 9

d)

j - 32

84.

Area of a parallelogram with base 4 inches and height 5 inches

a)

10 inches

b)

20 inches²

c)

20 inches

d)

9 inches²

85.

Area of a triangle with base 10 miles and height 5 miles

a)

50 miles

b)

25 miles²

c)

50 miles²

d)

25 miles

86.

5.5 x 10

a)

0.55

b)

5.5

c)

55

d)

550

87.

A team gains 20 yards. Then they lose 7 yards. What is an addition expression to represent this situation?

a)

20 + 7

b)

20 + (-7)

c)

-20 + (-7)

d)

-20 - 7

88.

What is the solution to this subtraction problem?
9 - (-2) = ?

a)

11

b)

-11

c)

7

d)

-7

89.

Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The following expression can be used to find the amount of money Frank had after that.

65 - 2 ⋅ 7 + 9 ÷ 3 .

Based on this expression, what is the amount of money Frank had remaining?

a)

$54

b)

$150

c)

$2

d)

$444

90.

What is the prime factorization of 110?

a)

5 ⋅ 22

b)

2⁵⋅ 11

c)

5²⋅ 11

d)

2⋅ 5⋅ 11

91.

Which is ordered least to greatest?

a)

1/4, -3/7, 1/2

b)

-3/7, 1/2, 1/4

c)

1/2, 1/4, -3/7

d)

-3/7, 1/4, 1/2

92.

Harry kept a record of how far he ran each day last week.

Monday- 4.5 miles

Tuesday- 3.9 miles

Wednesday- 4.25 miles

Thursday- 3.75 miles

Friday- 4.2 miles

On which day did Harry run the greatest number of miles?

a)

Monday

b)

Tuesday

c)

Thursday

d)

Friday

93.

Which of the following numbers is the least?

0.04, 4.00, 0.40, 40.0

a)

0.04

b)

4.00

c)

0.40

d)

40.0

94.

Which statement is true?

a)

64.55 < 64.550

b)

64.500 > 64.53

c)

64.053 = 64.530

d)

64.53 = 64.530

95.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

96.

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

a)

G

b)

Z

c)

K

d)

None of the above

97.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

98.

3(5x - 8)

a)

15x + 24

b)

15x - 8

c)

5x- 8

d)

15x - 24

99.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

100.

solve for x
x - 8 = 30

a)

22

b)

3.75

c)

38

d)

240

101.

What is the opposite of -8?

a)

-8

b)

0

c)

8

d)

1/8

102.

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

103.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

104.

What is the PERIMETER of this rectangle?

a)

22 sq. yd.

b)

22

c)

22 cm

d)

22 yd.

105.

What is 75% equal to?

a)

1/4

b)

1/8

c)

1/2

d)

3/4

106.

1/2 is equal to?

a)

75%

b)

50%

c)

28%

d)

100%

Math Mastery 6th Grade

Total questions: 106

Worksheet time: 3hrs 55mins

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