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6th Grade Math Review

Total questions: 134

Worksheet time: 10hrs 45mins

Name
Class
Date
1.

Combine Like Terms: 7x+13-4x=

a)

28x+13

b)

7x+9

c)

3x+13

2.

Use the Distributive Property to Solve: 7(3x-9)

a)

21x-63

b)

10x+16

c)

4x-9

3.

Factor Out The GCF: 12+24x

a)

3(4+8x)

b)

12(1+2x)

c)

4(3+6x)

4.

Combine Like Terms:

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

a)

9x+13b-11

b)

11x+6b+18

c)

10x+14b+11

5.

Use the Distributive Property to Solve: 5(6x-7)

a)

5x-35

b)

11x-12

c)

30x-35

6.

Factor Out The GCF: 3+12x

a)

3(1+4x)

b)

12(1+2x)

c)

2(1+6x)

7.

Combine Like Terms: 10b+13-5b+8=

a)

5b+21

b)

50b-6

c)

15b+21

8.

Use the Distributive Property to Solve: 4(5x-7)

a)

20x-28

b)

20x+28

c)

9x+11

9.

Factor Out The GCF: 45x+27

a)

9(5x+3)

b)

13(5x+2)

c)

6(4x+5)

10.

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

a)

12b+7-7x

b)

5b+23+7x

c)

19b+7+7x

11.

Use the Distributive Property to Solve: 8(4x-20)

a)

12x-28

b)

32x-160

c)

18x-240

12.

Factor Out The GCF: 42x+35b+14

a)

7(6x+5b+2)

b)

7(4x+5b+1)

c)

6(7x+6b+3)

13.

Combine Like Terms: 16x+11p-4x-3p=

a)

12x+8p

b)

27x+7p

c)

20x+14p

14.

Use the Distributive Property to Solve: 2(3x+4p-8)

a)

7x+12p-11

b)

5x+6p-10

c)

6x+8p-16

15.

Factor Out The GCF: 3+6x

a)

3(1+2x)

b)

6(1+2x)

c)

3(x+1)

16.

Simplify 2(2.036) - 2.268

a)

1.768

b)

1.804

c)

2.216

d)

2.232

17.

Grace has 15 3/4 cups of plant food.

She divides the plant food equally into 3 bags.

She uses all the plant food in 1 of the bags to feed her potted flowers.

She feeds each potted flower 3/4 cup of plant food.

How many potted flowers does Grace feed?

a)

4 1/2

b)

5

c)

5 1/2

d)

7

18.

Ivan packed 56 apples and 72 pears into boxes. He packed both apples and pears into each box. He put the same number of apples into every box and the same number of pears into every box. He sold each box for $19.95. What is the greatest amount of money Ivan could earn selling all the boxes of fruit?

a)

$39.90

b)

$79.80

c)

$159.60

d)

$179.55

19.

Which statement about the opposite of a number is correct?

a)

The opposite of 5 is 1/5.

b)

The opposite of 0 is 0.

c)

The opposite of -5 is 0.

d)

The opposite of -5 is 1.

20.

Which number line shows a point graphed at every location that represents a number with an absolute value of 4.5?

a)
b)
c)
d)
21.

Elliot plants lettuce and onions in his garden. He always plants the same ratio of let's plants to onion plants, as shown in the table. Based on the information in the table, how many onion plants would Elliot plant for 1 lettuce plant?

a)

3

b)

4

c)

6

d)

9

22.

Which expression has the least value?

a)

41 + 12

b)

43

c)

25 - 42

d)

44 - 160

23.

An algebraic expression is described below.


six more than the product of four times the difference between x and 3


What is the value of the expression when x = 8?

a)

14

b)

26

c)

35

d)

50

24.

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

25.

A gray whale swims 161 kilometers in 24 hours. The equation below can be used to find the rate (r), in kilometers per hour (kph), at which the gray whale swims.


r * 24 = 161


Rounded to the nearest tenth, what is the rate at which the gray whale swims?

a)

3.8 kph

b)

3.9 kph

c)

6.7 kph

d)

6.8 kph

26.

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

27.

A store is having a sale. All items are discounted 20% off the original price. Which table shows the relationship between the original price and the discount?

a)
b)
c)
d)
28.

What is the area of the figure?

a)

205 ft2

b)

230 ft2

c)

265 ft2

d)

280 ft2

29.

What is the volume of the rectangular prism?

a)

89 1/4 cm3

b)

203 1/2 cm3

c)

576 1/8 cm3

d)

610 1/2 cm3

30.

Which net could form the three-dimensional figure when folded along the dashed line segments?

a)
b)
c)
d)
31.

A band has an album with 9 songs on it. The lengths of the songs, in seconds, are listed below.


181, 134, 155, 201, 265, 94, 326, 298, 326


What is the median song length, in seconds, of the 9 songs on the band's album?

a)

201

b)

220

c)

265

d)

326

32.
What is the median of:
6, 12, 16, 11, 8, 4, 1, 11, 4
a)
11
b)
6
c)
8
d)
7
33.
6. Find the mean.
18, 2, 0, 0, 0
a)
4
b)
5
c)
10
d)
20
34.
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
35.
Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4
a)
3.33
b)
2.85
c)
3
d)
3.5
36.
What’s the median?
a)
1
b)
2
c)
3
d)
4
37.
Whats the Range?
a)
TWO
b)
SIX
c)
SEVEN
d)
NINE
38.
Find the Mean Absolute Deviation:  10, 9, 3, 8, 10.  The Mean is 8
a)
3
b)
5
c)
1
d)
2
39.
Find the Mean Absolute Deviation:  5, 11, 2, 7, 16.  The Mean is 8.2 
a)
3.2
b)
2.8
c)
1.2
d)
4.2
40.
Which mean absolute deviation would have a greater variability or spread?  4.2 or 8.5?
a)
4.2
b)
8.5
41.
Which mean absolute deviation would be more consistent? 4.2 or 8.5?
a)
4.2
b)
8.5
42.

Find the Mean Absolute Deviation: (MAD)

10, 9, 3, 8, 10.

a)

3

b)

5

c)

1

d)

2

43.
Which M.A.D. would show the most variability?
a)
.5
b)
1
c)
1.5
d)
2
44.
Which of the following is the mean absolute deviation for the set of data?
2.50 3.75 1.25 2.25 3.00
a)
3.3
b)
0.66
c)
2.50
d)
2.55
45.
Find the MAD:
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12
46.

Find the range of the data.

63, 71, 65, 66, 87, 53

a)

32

b)

33

c)

34

d)

35

47.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

b)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

c)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

d)

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

48.

Find the median, first quartile, third quartile, and interquartile range of the data.

203, 183, 212, 181, 157, 204, 189, 190

a)

Median: 189

First Quartile: 182

Third Quartile: 203

IQR: 21

b)

Median: 189.5

First Quartile: 182

Third Quartile: 203

IQR: 21

c)

Median: 189

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

d)

Median: 189.5

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

49.

Use the interquartile range to identify any outliers in the following data.

23, 22, 25, 16, 27, 43, 29, 40, 35

a)

No outliers.

b)

43 is an outlier.

50.

Use the interquartile range to identify any outliers in the following data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

No outliers.

b)

32 is an outlier.

51.

The table shows the ages of automobiles in the parking lot. The range of the ages is 12 years. Find the missing age.

a)

12

b)

13

c)

14

d)

15

52.

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

a)

18

b)

27

c)

30

d)

12

53.
Find the lower quartile (Q1) of the following set of scores 6, 7, 8, 9, 11, 13, 15
a)
13
b)

7

c)
9
d)
6
54.

Find the IQR (Q3 - Q1)  of the data

20, 22, 25, 29, 31

a)
30
b)
21
c)
25
d)
9
55.

Which person has the higher upper extreme and what is that number?

a)

Irene, 90 minutes

b)

Janelle, 80 minutes

c)

Irene, 80 minutes

d)

Janelle, 70 minutes

56.

What is the median of the data?

a)

10

b)

12

c)

13

d)

14

e)

18

57.

For the data set shown, what is the lower extreme?

{15, 20, 9, 8, 10, 20, 25, 17}

a)

15

b)

17

c)

8

d)

0

58.

What is the range of the data?

a)

80

b)

10

c)

70

d)

40

e)

30

59.

Which group of people has 50% of the data above 5 magazines each day?

a)

Children

b)

Adults

60.

What percent of the data falls between 8 and 10 absences?

a)

0%

b)

25%

c)

50%

d)

75%

e)

100%

61.

What percent of students read between 280 and 340 words per minute (wpm)?

a)

0%

b)

25%

c)

50%

d)

75%

e)

100%

62.

For the data shown, what is the upper quartile?

{5, 5, 6, 6, 6, 7, 7, 10, 11, 15, 18}

a)

6

b)

7

c)

11

d)

13

63.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
64.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
65.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
66.
Find the volume of the figure.
a)
150 in³
b)
100 in³
c)
300 in³
d)
180 in³
67.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
68.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
69.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
70.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
71.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
72.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
d)
Square Prism
73.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
74.
How do you find the AREA of a TRIANGLE?
a)
Height x Base divided by 4
b)
Length x Width
c)
1/3 (Length x width)
d)
1/2 (Base x height)
75.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
76.
Find the surface area of the square pyramid.
a)
429 sq. cm
b)
389 sq. cm
c)
441 sq.cm
d)
377 sq. cm
77.
Find the surface area of the triangular pyramid.
a)
123.6 sq. feet
b)
116.8 sq. feet
c)
127.9 sq. feet
d)
130.9 sq. feet
78.
What is the MEDIAN of this data
a)
95
b)
90
c)
100
d)
40
79.
What is the RANGE of this data
a)
40
b)
95
c)
90
d)
100
80.
What is the MODE of this data?
a)
100
b)
20
c)
80, 85, and 90
d)
none
81.
What is the MEDIAN of this data?
a)
65
b)
40
c)
915
d)
13
82.
What is the MEAN for this data?
a)
80
b)
1040
c)
13
d)
81
83.
How many people have two or less books in their desk?
a)
4
b)
5
c)
6
d)
7
84.

Which statement best describes the data shown in the dot plot?

a)

The peak of the data is at 35

b)

The data are clustered from 30 to 32

c)

The data distribution has gaps

d)

The data distribution is symmetrical

85.
How many families were sampled?
a)
19
b)
21
c)
7
d)
6
86.

How many more students scored a 88 than scored a 98?

a)

4

b)

2

c)

6

d)

35

87.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
88.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
89.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
90.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
91.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
92.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
93.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
94.
What is the additive inverse of -6?
a)
1⁄-6
b)
1⁄6
c)
6
d)
None of the above
95.
Which of the following simplification is not negative?
a)
(-2) × (-3)
b)
(-3) × 2
c)
(-3) ÷ 2
d)
(-3) + (-5)
96.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
97.
Which expression is equivalent to 34?
a)
3+3+3+3
b)
4+4+4
c)
4x4x4
d)
3x3x3x3
98.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
99.
Which expression is equivalent to 106?
a)
1,000,000
b)
60
c)
3,294,360
d)
600
100.
GCF of: 
14 and 20
a)
7
b)
28
c)
2
d)
6
101.
LCM of: 
5 and 8
a)
20
b)
40
c)
5
d)
8
102.
LCM of:
10 and 5
a)
5
b)
10
c)
15
d)
50
103.
GCF of: 
56 and 49
a)
14
b)
2
c)
8
d)
7
104.
LCM of: 
8 and 6
a)
16
b)
24
c)
48
d)
14
105.
GCF of: 
5 and 7
a)
1
b)
3
c)
5
d)
7
106.
GCF of:
12 and 8
a)
2
b)
4
c)
6
d)
8
107.
Find the LCM of 42 and 66
a)
2772
b)
6
c)
462
d)
132
108.
Find the GCF of 12 and 6. 
a)
1
b)
6
c)
2
d)
3
109.
Find the AREA of this figure.
a)
160 square feet
b)
160 feet
c)
abcdefghijklmnopqr
stuvwxyz
d)
1600 feet
110.
What is the area of a square with a length of 4 cm?
a)
1 square cm
b)
16 square cm
c)
2 square cm
d)
8 square cm 
111.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
112.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
113.
Find the area. 
a)
88 inches2
b)
60 inches
c)
88 inches 
d)
60 inches2
114.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
115.

Find the area.

a)

30 in2

b)

60 in2

c)

21 in2

d)

50 in2

116.
Find the area of the figure
a)
119 un2
b)
238 un2
c)
84 un2
d)
168 un2
117.
Find the area of the figure
a)
35 un2
b)
70 un2
c)
30 un2
d)
168 un2
118.

What is the formula used to find the area of this shape? *This symbol: / means divided by

a)

A= b x h/2

b)

A= s2

c)

A= l x w

d)

A= (b1 +b2)h/ 2

119.

What is the perimeter of the trapezoid?

a)

60cm

b)

23in

c)

20cm

120.

The length of a rectangle is 10cm and the width is 5cm. What is the perimeter of the rectangle?

a)

50cm

b)

30cm

c)

15cm

121.

Calculate the perimeter of the trapezoid!

a)

37ft.

b)

24ft.

c)

34ft.

122.

What is the perimeter of the parallelogram?

a)

74yd.

b)

35yd.

c)

24yd.

123.

Calculate the perimeter of the rhombus!

a)

81mm.

b)

36mm.

c)

18mm.

124.

What is the perimeter of this pentagon?

a)

17 ft

b)

70 ft

c)

30 ft

d)

41 ft

125.

What is the perimeter of this shape?

a)

45 cm

b)

98 cm

c)

49 cm

d)

56 cm

126.

What is the perimeter of this triangle?

a)

18 in

b)

20 in

c)

27 in

d)

81 in

127.

What is the perimeter of this triangle?

a)

15 ft

b)

12 ft

c)

30 ft

d)

3 ft

128.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
129.

If my diameter is 90cm, what is my circumference?

a)

90π cm

b)

180π cm

c)

45π cm

d)

56π cm

130.

If my circumference is 16π ft, what is my radius?

a)

8 ft

b)

16 ft

c)

25.12 ft

d)

50.24 ft

131.

What is the formula for finding the circumference of a circle?

a)

C = r2

b)

C = rd

c)

A = π·r2

d)

C = π·d

132.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r2

c)

C = 2·π·r

d)

C = d2

133.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
134.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius

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