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Worksheets

6th Math First Three Quarters Mega Review

Total questions: 162

Worksheet time: 9hrs 50mins

Name
Class
Date
1.
What do we use to represent a number?
a)
Zero
b)
Nothing
c)
Variable
d)
Monkey
2.
3x + 15 = 65
a)
50
b)
35
c)
5
d)
65
3.
Enlarge this image by 4 times it size.
a)
12/32
b)
8/36
c)
12/36
d)
1/4
4.
What would the height of my new triangle be if the lenght of my base was 15?
a)
5
b)
40
c)
12
d)
32
5.
Reduce this figure to half its original shape
a)
1.5 by 4
b)
3 by 8
c)
6 by 12
d)
2.5 by 16.5
6.
I have a triangle that has a base of 12 and a height of 16.  What would my base of my new shape be if the height was 8?
a)
6
b)
2
c)
8
d)
x
7.
6m=90
a)
10
b)
15
c)
20
d)
12
8.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
9.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
10.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
11.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
12.

Find the height of the tree.

a)

h = 0.0625 ft.

b)

h = 12 ft.

c)

h = 16 ft.

d)

h = 20 ft.

13.
Find missing side
a)
5
b)
7
c)
9
d)
11
14.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
15.
When you multiply by a scale factor less than 1, it will result in ...
a)
a reduction.
b)
the same size.
c)
an enlargement.
d)
a different shape.
16.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
17.
a)
10 ft
b)
5 ft
c)
8 ft
d)
15 ft
18.

Scale: 1 cm = 2 m

The actual width of the backyard is 9 m.

How wide is it in the drawing?

a)

4.2 cm

b)

4.5 cm

c)

4.3 cm

d)

4.7 cm

19.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
20.
What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
21.
What is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
22.
Solve the proportion.
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
23.

Solve for y.

53 - y = 17

a)

26

b)

36

c)

70

d)

40

24.

Solve for n.

6 = n ÷ 7

a)

13

b)

1

c)

42

d)

24

25.

Solve for b.

899 = b + 430

a)

469

b)

1329

c)

400

d)

99

26.

Solve for t.

12t = 132

a)

1584

b)

120

c)

144

d)

11

27.

Solve for a.

a4 = 81

a)

2

b)

3

c)

20.25

d)

77

28.

Solve for y when x = 5.

y = 2x + 7

a)

32

b)

14

c)

9

d)

17

29.

Solve for y when x = 8.

y = 4x - 3

a)

9

b)

29

c)

35

d)

7

30.

Solve for y when x = 12.

y = 3x ÷ 2

a)

36

b)

7.5

c)

15

d)

18

31.
What is the sum of 14 and x?
a)
x - 14
b)
14(x)
c)
14 + x
d)
14/x
32.
What is the quotient of sixteen and a number?
a)
n ÷ 6
b)
6 ÷ n
c)
n ÷ 16
d)
16 ÷ n
33.
What is a number decreased by seventeen?
a)
n + 17
b)
n - 17
c)
17 + n
d)
17 - n
34.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
35.
twice h increased by 5
a)
2 + h + 5
b)
h ∙ h + 5
c)
5 ∙ h ∙ 2
d)
2h + 5
36.

AT&T charges $30 per month for phone service and a one-time activation fee of $25. What expression describes the scenario, where m = months?

a)

30 - 25m

b)

30m - 25

c)

30 + 25m

d)

30m + 25

37.

A Lyft driver earns $10/hour and works "h" hours per day. She also spends $25 on gas each day. Which expression represents how much she will earn in a day?

a)

10h + 25

b)

10h - 25

c)

10h - 25h

d)

10h + 25h

38.

The price of a visit to the dentist is $150. If the dentist fills any cavities, there is an additional charge of $50 per cavity. If the dentist finds "c" cavities, what is the cost of a visit?

a)

200c

b)

200 + c

c)

150c + 50c

d)

150 + 50c

39.

Mr. Marcin is making bags of prizes for hardworking students. He has 92 prizes and splits them evenly into b bags. Which expression represents this situation?

a)

92 + b92\ +\ b  

b)

92  b92\ -\ b  

c)

92b92b  

d)

92 ÷b92\ \div b  

40.

Mr. Williams is x years old. If his mother is twice his age minus four, what expression represents his mother's age?

a)

3x - 4

b)

2x - 4

c)

2 + x - 4

d)

2x + 4

41.

There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents this.

a)

f  47f\ -\ 47

b)

f + 47f\ +\ 47

c)

47 ÷ f 47\ \div\ f\

d)

47  f 47\ -\ f\

42.

There are r rows of chairs with 8 chairs in each row. Choose the expression that represents the total number of chairs.

a)

8r8r

b)

8 ÷ r 8\ \div\ r\

c)

8  r8\ -\ r

d)

8 + r8\ +\ r

43.

Shawn and his friends are going to the NC State fair. It costs $12 to park their car. Tickets to get in are $10 per person (p). Which expression represents how much money they will spend?

a)

12p + 10p

b)

12p - 10p

c)

12p + 10

d)

12 + 10p

44.

A plane traveling to Raleigh has 100 seats on board. If there are p passengers on the plane, which equation represents the number of empty seats there are on the plane?

a)

p - 100

b)

100 - p

c)

100p

d)

100 + p

45.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
46.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
47.
What is the ratio of red circles to blue stars?
a)
3:4
b)
7/4
c)
11/4
d)
4 to 7
48.
Which is NOT a way to represent a ratio?
a)
As a fraction
b)
Using the word "to"
c)
With a colon (:)
d)
None.  All of these are ways to write a ratio.
49.
There are 4 birds and 6 snakes. What is the ratio of birds to total animals?
a)
4/10
b)
4/6
c)
6/4
d)
10/4
50.
A A A A A to A A A A A A A A A
What is the ratio of red A to blue A?
Is this a part to part or part to whole questions? 
a)
part to part
b)
part to whole
51.
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
52.

What is the ratio of red dots to total dots

a)

6:5

b)

5 to 6

c)

5:11

d)

11:5

53.
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  
a)
yes, equivalent
b)
no, not equivalent
54.
The ratio of 6th graders to 7th graders at a basketball game is 4:1.  If there are eight 7th graders, how many 6th graders are there?
a)
28
b)
16
c)
8
d)
32
55.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
56.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
57.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
58.
Which of the following ratios are NOT equivalent to 20:24?
a)
10:12
b)
5:6
c)
15:18
d)
16:20
59.
What number is missing?
a)
12
b)
3
c)
11
d)
13
60.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
61.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
62.
If you have 3 pennies, 4 nickels, and 5 dimes which represents the following ratio: nickels to total number of coins?
a)
4:5
b)
3:12
c)
4:12
d)
5:12
63.
Which of the following ratios are NOT equivalent to 20:24?
a)
10:12
b)
5:6
c)
15:18
d)
16:20
64.
True or false.
¾  =  ⅝
a)
True
b)
False
65.
18 vocab words learned in 2 hours; 27 vocab words learned in 3 hours
a)
yes, equivalent
b)
no, not equivalent
66.
$15 for 5 pairs of socks; $25 for 10 pairs of socks. Are the ratios equivalent?
a)
yes, equivalent
b)
no, not equivalent
67.
Evaluate each expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
68.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
69.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
70.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
71.
The absolute value of |3| is 0.
a)
True
b)
False
72.
what is the absolute value of -|14|?
a)
14
b)
21
c)
33
d)
-14
73.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
74.
What is the absolute value of |55|?
a)
-55
b)
45
c)
55
d)
--55
75.
What is the absolute value of | 8 |?
a)
8
b)
-8
c)
0
d)
16
76.
What is the opposite of zero?
a)
1
b)
-1
c)
0
77.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
78.
-3 and 3 are opposites .
True or False?
a)
True 
b)
False
79.
l - 4 l  + l -1 l
a)
5
b)
3
c)
4
d)
-5
80.
Express 0.87 as a percent.
a)
0.87%
b)
8.7%
c)
87%
d)
870%
81.
Express 0.08 as a percent.
a)
0.08%
b)
80%
c)
8%
d)
0.008%
82.
Write a percent to represent the shaded portion of the model.
a)
16%
b)
42%
c)
64%
d)
80%
83.
Express 11/50 as a percent.
a)
220%
b)
22%
c)
50%
d)
55%
84.
There are 4 trombones out of 25 instruments in the Landers town band. What percent of the instruments are trombones?
a)
4%
b)
20%
c)
16%
d)
25%
85.
Express 40% as a fraction in simplest form.
a)
8/25
b)
4/5
c)
2/5
d)
2/25
86.
Convert 5/8 to a decimal.
a)
0.6
b)
0.62
c)
0.625
d)
0.63
87.
Convert 0.92 to a percent?
a)
9.2%
b)
92%
88.

What percent of the circle is shaded?

a)

4%4\%

b)

20%20\%

c)

80%80\%

d)

40%40\%

89.

What is the percent equivalent of this decimal?

0.60.6  

a)

60%

b)

6%

c)

0.6%

d)

66.6 %66.\overline{6}\ \%  

90.
-9 + (-5)
a)
-14
b)
14
c)
-4
91.
6 - 9 = ?
a)
-3
b)
3
c)
15
d)
-13
92.
-8 - 6
a)
-2
b)
2
c)
-14
d)
14
93.
-10+4
a)
-14
b)
14
c)
-6
d)
6
94.
-9 + 9
a)
18
b)
-18
c)
0
d)
81
95.

9+6-9+6  

a)

15

b)

-15

c)

3

d)

-3

96.

474-7  

a)

11

b)

-11

c)

3

d)

-3

97.

Which "line" is the Y-axis?

a)

blue

b)

red

98.

Which "line" is the X-axis?

a)

blue

b)

red

99.

What is the name for this point?

(a)  

100.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
101.
What letter is at the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
102.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
103.
In the ordered pair, (7, -7), first I would move ____ then ____.
a)
Left, Down
b)
Left, Up
c)
Right , Up
d)
Right , Down
104.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

105.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
106.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
107.
When plotting points in a coordinate plane, which directions should you go first? 
a)
left or right
b)
up or down
c)
left
d)
up
108.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

109.

What is the distance between the following ordered pairs: (5, 6) and (5, 8)

a)

3 units

b)

4 units

c)

5 units

d)

2 units

110.

Find the distance between the following ordered pairs: (0, 6) and (0, -4)

a)

6 units

b)

4 units

c)

10 units

d)

11 units

111.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
112.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
113.
What is the distance between points  (5, 5) and  (1, 5) on a coordinate plane?
a)
-4
b)
4
c)
10
d)
-10
114.

Find the distance between (0, 6) and (0, -4)

a)

2

b)

-2

c)

0

d)

10

115.
Find the AREA of this figure.
a)
160 square feet
b)
161 feet
c)
106
d)
1600 feet
116.

What is the area of the rectangle?

a)

15 sq cm

b)

8 cm

c)

2

d)

16 cm

117.

What is the area of this rectangle?

a)

26 centimeters

b)

40 square centimeters

c)

35 square centimeters

d)

13 centimeters

118.
How do you find the area of a rectangle?
a)
Length + Length + Length + Length
b)
Length + Width
c)
Length x Width
d)
Width x Width
119.

Find the PERIMETER of this figure.

a)

10 square feet

b)

20 cm

c)

25 square feet

d)

15 cm

120.

What is the perimeter of the rectangle? (Hint: top matches the bottom, left matches the right!)

a)

24 sq feet

b)

28 feet

c)

42 feet

d)

48 sq feet

121.

What is the perimeter of this shape?

a)

33 cm

b)

23 cm

c)

36 cm

d)

40 cm

122.

What is the perimeter of this shape?

a)

38 cm

b)

41 cm

c)

42 cm

d)

39 cm

123.

What is the area of this shape?

a)

154 square mm

b)

130 square mm

c)

113 square mm

d)

36 square mm

124.

What is the area of this golf course?

a)

18 square feet

b)

20 square feet

c)

17 square feet

d)

15 square feet

125.

What is the area of this shape?

a)

36 square cm

b)

52 square cm

c)

48 square cm

d)

60 square cm

126.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
127.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
128.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
129.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
130.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
131.
What is an interval?
a)
A single number
b)
A range of numbers
c)
A percentage
d)
A total amount
132.
21. How many students are represented by the histogram?  
a)
Cannot be determined
b)
9
c)
31
d)
35
133.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
134.
How many people watched more than 25 hours of TV last week?
a)
0
b)
10
c)
38
d)
42
135.
How many students scored more than 80%?
a)
10
b)

13

c)
7
d)
15
136.
How many games did the team play?
a)
15
b)
12
c)
24
d)
14
137.
What is the minimum in this data set?
a)
0
b)
4
c)
9
d)
40
138.
What is the highest quiz grade in the stem and leaf plot?
a)
9
b)
26
c)
92
d)
96
139.

How many scores are listed in this Stem and Leaf Plot?

a)

3

b)

6

c)

9

d)

18

140.

In how many games did the team score fewer than 10 points?

a)

3

b)

5

c)

4

d)

6

141.

Which of these is something both whales and fish have in common?

a)

live birth

b)

lay eggs

c)

have fins

d)

have hair

142.

How many people ate pepperoni pizza for lunch?

a)

15

b)

21

c)

6

d)

12

143.

How many people ate pizza for lunch?

a)

21

b)

6

c)

27

d)

33

144.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
145.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
146.
How many students have a foreign language?
a)
14
b)
37
c)
23
d)
24
147.
What was the day with the least amount of cars sold? 
a)
Monday
b)
Tuesday
c)
Wednesday
d)
Thursday
148.
How many students had more than 6 candy bars?
a)
5
b)
2
c)
3
d)
1
149.
How many students received a score of 94%? 
a)
94
b)
4
c)
1
d)
2
150.
How many total students are in the science class?
a)
13
b)
6
c)
27
d)
25
151.

Which is a rate?

a)

2  feet6  feet\frac{2\ \ feet}{6\ \ feet} "2 feet to 6 feet"

b)

4 cups8 cups\frac{4\ cups}{8\ cups} "4 cups to 8 cups"

c)

10 words30 seconds\frac{10\ words}{30\ \sec onds} "10 words in 30 seconds"

152.

Which is a UNIT rate?

a)

100 miles / 3 hours

b)

35 miles / 1 hour

c)

70 miles / 2 hours

153.

Find the unit rate (how many avocados per bag):

42 avocados in 7 bags

a)

7 avocados/bag

b)

6 avocados/bag

c)

7 bags/avocado

d)

14 avocados/bag

154.

Find the unit rate (how many minutes per video):

24 minutes to watch 4 videos

a)

4 minutes/video

b)

4 videos/minute

c)

6 minutes/video

d)

8 minutes/video

155.

Which statement is the correct unit rate?

a)

5 seconds per foot

b)

5 feet per second

c)

2.5 seconds per foot

d)

2.5 feet per second

156.

Which graph represents the data?

a)
b)
c)
d)
157.

What is the unit rate (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

158.

What is the unit rate in miles per hour?

a)

60 miles per hour

b)

120 miles per hours

c)

1 mile per hour

d)

180 miles per hours

159.

What is the unit rate of paws per dog?

a)

2

b)

4

c)

8

d)

16

160.
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
a)
85
b)
65
c)
60
d)
70
161.
A jar of peanut butter is $1.99 and 16 ounces. You have a coupon for $0.50 off what is the unit price?
a)
$0.103
b)
$0.010
c)
$0.093
d)
$0.094
162.
What's the Better Buy - $1.32 for 12 oz OR $1.49 for 16 oz?
a)
$1.32
b)
$1.49
c)
They are equal