Worksheets7th Grade Math Final Review
Total questions: 115
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
a)
a
b)
b
c)
c
d)
d
2.
a)
a
b)
b
c)
c
d)
d
3.
a)
a
b)
b
c)
c
d)
d
4.
It took Maria 21 minutes to run 3 miles. Which shows her unit rate?
a)
21 minutes per mile
b)
8 minutes per mile
c)
7 minutes per mile
d)
6 minutes per mile
5.
Mrs. Franklin pays $90 a month for her internet bill. Which shows the same ratio?
a)
$90 for every 3 months
b)
$180 for every 2 months
c)
$18 for every 2 months
d)
$270 for every 4 months
6.
a)
20 pencils
b)
24 pencils
c)
96 pencils
d)
48 pencils
7.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
8.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
9.
Which statement best describes what a ratio is.
a)
A number
b)
A comparison of two quantities using division.
c)
A comparison
d)
A comparison of many things.
10.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 to 5
b)
10 to 13
c)
3:4
d)
3:5
11.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
12.
Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
a)
20%
b)
40%
c)
60%
d)
80%
13.
On an 88 question test, Phil missed 11 questions. What is his exact grade for that test?
a)
12.5%
b)
13%
c)
87.5%
d)
88%
14.
34% of what number is 51?
a)
69
b)
71
c)
151
d)
196
15.
Calculate 25% of 80
a)
20
b)
80
c)
48
d)
95
16.
72 is _____% of 150
a)
22
b)
45
c)
54
d)
48
17.
120 is ______% of 40
a)
300
b)
35
c)
125
d)
250
18.
What percent of 17 is 3? (Round if needed)
a)
18
b)
16
c)
12
d)
3
19.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
20.
If the area of a square is 49, what is the length of each side?
a)
8
b)
15
c)
1/2
d)
7
21.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
22.
A fraction is which type of number?
a)
Rational
b)
Irrational
23.
A whole number is which type of number?
a)
Rational
b)
Irrational
24.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
25.
A never ending decimal is which type of number?
a)
Rational
b)
Irrational
26.
A repeating decimal is what type of number?
a)
Rational
b)
Irrational
27.
If both the x and y coordinates are negative, the point is in Quadrant III
a)
true
b)
false
28.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
29.
A number less 11
a)
11 - n
b)
n - 11
c)
n/11
d)
11/n
30.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
31.
Three times the sum of 2 and e.
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
32.
The difference of h and 9 divided by 3.
a)
h-9/3
b)
(n-9)/3
c)
(9-h)/3
d)
9-h/3
33.
The product of 7 and j..
a)
7j
b)
j+3
c)
j-3
d)
j/3
34.
Five times Mike's age, increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
35.
The product of 7 and j increased by 3.
a)
3+7j
b)
7j-3
c)
7(j+3)
d)
3j+7
36.
The difference of h and 9 divided by 3.
a)
h-9/3
b)
(n-9)/3
c)
(9-h)/3
d)
9-h/3
37.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/-7b
c)
-7b/6
d)
b-7/6
38.
You traveled 52 miles. Then, your avg rate is 12 mph. What algebraic exp. models the distance?
a)
52+12/h
b)
12/h-52
c)
12h+52
d)
12-52
39.
w/5 = -10
a)
w = -50
b)
w = 50
c)
w = 2
d)
w = -2
40.
z/-7 = -7
a)
z = 1
b)
z = -1
c)
z = 49
d)
z = -49
41.
m - 25.4 = 105
a)
130.4
b)
79.6
c)
131
d)
80
42.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
43.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
44.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
45.
11b+7=40
a)
2
b)
1
c)
4
d)
3
46.
Solve for k:
3k + 5 = 23
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
47.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
48.
x + 40 = 56
a)
x = 16
b)
x = 96
c)
x = 15
d)
x = 10
49.
8 = x - 1
a)
x = 8
b)
x = 1
c)
x = 7
d)
x = 9
50.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
51.
The choir director in a high school wants to know how the students in the school feel about singing. If the director selects 100 girls and 100 boys to complete a survey, which method will result in a biased sample?
a)
The students will be selected from the choir
b)
The students will be selected randomly throughout the school
c)
The students will be selected on Wednesday afternoon before the choir concert
d)
The choir director will select five students from each of the forty homerooms in the school
52.
Which scenario would produce the least biased results?
a)
asking athletes at a gym what their favorite television show is
b)
asking shoppers at a store where their favorite place to shop is
c)
asking fans at a baseball game who their favorite baseball team is
d)
asking students in a college library what their favorite college sports team is
53.
Marcos wants to find out how many students at his school like to go to the movies. Which survey method is likely to produce a representative survey?
a)
Ask the boys in the boys locker room.
b)
Ask the 25 students in his homeroom class.
c)
Ask students coming out of a movie theater.
d)
Ask half of the 34 students on the soccer team.
54.
The entire pool; the total set of people/objects that can be studied
a)
population
b)
sample
c)
datum
d)
probability
55.
The entire pool; the total set of people/objects that can be studied
a)
population
b)
sample
c)
datum
d)
probability
56.
Another word for average is
a)
sample
b)
mean
c)
data
d)
numerical data
57.
What is the mode of the data?
a)
1 book
b)
9 books
c)
3 books
d)
0 books
58.
What is the mean of test scores?
{70, 70, 80, 85, 85, 90, 95, 95, 100, 100}
{70, 70, 80, 85, 85, 90, 95, 95, 100, 100}
a)
87
b)
85, 95, and 100
c)
30
d)
85 and 90
59.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
94 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 94
d)
A score of 91 was slightly below average.
60.
What was the highest score on the math test?
a)
53
b)
79
c)
97
d)
90
61.
The Table above shows the points scored by the JV basketball team in their first seven games. Calculate the mean, median, mode and range. Which statistical measure makes the team sound the best?
a)
Mean
b)
Median
c)
Mode
d)
Range
62.
How many students have more than 1,000 songs on their MP3 player?
a)
5
b)
16
c)
10
d)
4
63.
A teacher asked 20 students how many books they read last summer. The dot plot displays the data. What is the greatest number of books a student read?
a)
1
b)
6
c)
9
d)
10
64.
You flip a nickel three times.
Find the probability that all flips will land on tails.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
65.
If the odds of being born on each day of the week is equal, what is the probability of two separate babies both being born on a school day? (Monday through Friday)
a)
5/7
b)
5/14
c)
25/49
d)
1/49
66.
You spin this spinner 3 times.
Find the probability of these 3 events.
P(red, odd, 3)
Find the probability of these 3 events.
P(red, odd, 3)
a)
1/216
b)
1/72
c)
1/36
d)
1/12
67.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
68.
What is the probability of drawing a red card from a standard deck of cards?
a)
1/52
b)
13/52
c)
1/2
d)
4/52
69.
Define volume:
a)
the amount of mass an object has.
b)
The amount of space an object takes up.
c)
The amount of space and mass that an object has.
70.
What is the formula to calculate the volume of a rectangular object?
a)
Length X Width X Weight
b)
Length x Mass x Width
c)
Length x Width x Height
71.
If you have a rectangular object with a length of 5 cm, a width of 7 cm, a height of 9 cm. What is the volume?
a)
312 cm3
b)
319 cm3
c)
315 cm3
72.
If you start with a water level at 150 mLs in a graduated cylinder & you drop in a stone and the level raises to 157 mLs, what is the volume of the stone?
a)
6 mLs
b)
7 mLs
c)
157 mLs
73.
What label of measurement do we use when we measure the volume of an irregularly shaped object with water in a graduated cylinder?
a)
liters
b)
mili-liters
c)
kilo-liters
74.
How do you find the volume of a cylinder?
a)
V= B⋅h
b)
V=πr²
c)
V= l × w
d)
V= Ph+2B
75.
How do you find the volume of a cone?
a)
V= B⋅h
b)
V= Ph+2B
c)
V= ⅓B⋅h
d)
V= l × w
76.
How do you find the volume of a sphere?
a)
V= 4/3 πr³
b)
V= B⋅h
c)
V= ⅓B⋅h
d)
V=πr²
77.
A cone is what part of a cylinder with the same base and height?
a)
½
b)
⅓
c)
¼
d)
⅞
78.
How do you find the volume of a cone?
a)
V= B⋅h
b)
V= Ph+2B
c)
V= ⅓B⋅h
d)
V= l × w
79.
How do you find the volume of a sphere?
a)
V= 4/3 πr³
b)
V= B⋅h
c)
V= ⅓B⋅h
d)
V=πr²
80.
a)
146
b)
34
c)
36
d)
136
81.
a)
151
b)
147
c)
118
d)
62
82.
Find what the value of x.
a)
56
b)
66
c)
156
d)
166
83.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
84.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
85.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
86.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
87.
Find the missing angle. Find x.
a)
20o
b)
70o
c)
160o
d)
180o
88.
If m∠1 = 30°, then m∠3 =
a)
30°
b)
60°
c)
150°
d)
undetermined
89.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
90.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
91.
True or False: all samples lead to a good prediction about an entire population.
a)
True
b)
False
92.
Mrs. Smith wants to find the average height of all her students in her classes. She decides to use the first 5 people who walk in the door. Is this a good representative sample?
a)
Yes
b)
No
93.
Biased sampling is
a)
when you choose a population that is more likely to give you the result you want
b)
when you choose a group that is equally likely to be chosen
94.
Identify the Population:
Park Ridge Schools randomly selected 230 teachers to find out which technology resource is the most effective.
Park Ridge Schools randomly selected 230 teachers to find out which technology resource is the most effective.
a)
230 Teachers
b)
All teachers
c)
Students
d)
Wicomico County Public Schools
95.
Identify the Sample:
A restaurant wants to know if customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.
A restaurant wants to know if customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.
a)
20 customers
b)
All customers
c)
8 customers
d)
Dessert
96.
6. To see who has a computer at home the front office chooses 10 students randomly per grade to ask
a)
Biased
b)
Unbiased
97.
7. A public library asked every 10th person who entered to name the type of book they were getting
a)
Biased
b)
Unbiased
98.
8. The owners of a music store asked 10 people who wanted help which new CD they liked best.
a)
Biased
b)
Unbiased
99.
10. A senator wants to how she is doing. She sends a survey to 1000 registered voters in her party
a)
Biased
b)
Unbiased
100.
-3 x (-5)
a)
Positive
b)
Negative
101.
-72 ÷ (-9)
a)
Positive
b)
Negative
102.
3 x (-5)
a)
Positive
b)
Negative
103.
72 ÷ (-9)
a)
Positive
b)
Negative
104.
3 x 5
a)
Positive
b)
Negative
105.
- 9 + 4 =
a)
-5
b)
5
c)
13
d)
-13
106.
-3 + 8 =
a)
-11
b)
-5
c)
11
d)
5
107.
-3 - 6 =
a)
-9
b)
3
c)
9
d)
-3
108.
10 + 4 =
a)
6
b)
-14
c)
-12
d)
14
109.
4 x (-7)
a)
-24
b)
28
c)
24
d)
-28
110.
-8 x 6
a)
48
b)
-48
111.
-7 x 4
a)
28
b)
-28
112.
Which is an example of The Commutative Property of Multiplication?
a)
4 x (-8) = (-8) x 4
b)
(2 x -3) x 4 = 2 x (-3 x 4)
c)
-15 x 1= -15
d)
-5 (8 + 2) = -5 x 8 + (-5 x 2)
113.
-3(14)
a)
-36
b)
36
c)
-42
d)
42
114.
Find the length of s.
a)
3
b)
-3
c)
9
d)
-9
115.
-3 + 8 =
a)
-11
b)
-5
c)
11
d)
5
100 %
