Name__________________________ Date ________________ Period _____
Math 7 - State Test Review
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1
1
Ellie read 4 2 pages in 4 hour. At this rate, how many pages can she read per hour?
1
A) 2 page per minute
B) 9 pages per hour
C) 10 pages per hour
D) 18 pages per hour
96)
Wayne’s total body weight (b) equals 113 pounds. His body weight is roughly 14 times the
weight of this head (h).
Which equation represents the proportional relationship between Wayne’s body weight and
the weight of his head?
A)
B)
C)
D)
b = 14h
b = 113
b = 14(b-h)
b = h +113
97)
Ivy and her family celebrated her birthday at her favorite Mexican restaurant. The bill came
to $39.00. Since the food and service were excellent, Ivy’s dad wanted to leave a 20% tip.
How much did he leave?
A) $3.90
B) $7.80
C) $9.75
D) $11.70
98)
A $15.00 music CD is selling for $10.50. How much of a discount off the regular price is this?
A) 10.5%
B) 20%
C) 30%
D) 45%
99)
Which of the following situations has -16 as the result?
A) 16-20
B) 16-0
C) 40-24
D) 24-40
100)
Look at the expression: (-5)(-5)
-(5∙5)
Which of the following symbols would create a true mathematical statement when placed
between the two expressions?
A) =
C) ≤
B) <
D) >
101)
Which fraction results in the decimal 0.4444….?
A)
1
B)
4
444
1000
C)
4
9
D)
4
4
102)
Which of the following operations would provide an answer greater than 1?
A)
B)
C)
D)
Multiplying two positive fractions that are less than 1
Multiplying two negative fractions that are each greater than -1
Multiplying two negative fractions that are each less than -1
Multiplying a negative fraction that is less than -1 and a positive fraction that is
greater than 1
103)
After a school fundraiser, the treasurer, Stan, tallies the income for a total of one hundred
twenty-five dollars. Stan subtracts on hundred thirty-five dollars in expenses from the income
for a loss of ten dollars.
Which integer represents the difference between income and expenses?
A) 10
B) -10
C) 125
D) 135
104)
Simplify the expression:
A) 5r
2(3r+1) - (r+1)
B) 5r+1
C) 5r+3
D) 7r+1
105)
A secretary purchased three items at an office supply store. Including a 6.5% sales tax, her
total payment was $13.85. Which equation can be used to correctly determine the cost of
three items before tax?
A)
B)
C)
D)
6.5x = 13.85
.065x + x = 13.85
13.85 – x = 6.5
13.85 = .065x
106)
Louisa works as a clown in a circus. When she started working, she earned $12,000 the first
year. For each year after the first, she was told she would receive a raise of 5% of her yearly
salary each year.
If this is the third year Louisa has worked in the circus, what is her yearly salary for this year?
A) $12,600
B) $13,200
C) $13,230
D) $13,800
107)
3
1
Rahkeem bought 4 4 yards of fabric at $2.80 per yard and 2 2 yards of ribbon at $1.80 per
yard. He paid sales tax of 5%.
Calculate Rahkeem’s total cost including tax.
108)
At a local mall, the owners have decided to redesign the parking lot. When the parking lot is
completed, there will be 5 fewer than 3 times the original number of parking spaces in the lot.
If there will be 448 parking spaces n the parking lot when it is completed, which of the
following equations could be used to find the number of parking spaces (n) currently in the
parking lot?
A)
B)
C)
D)
448 = (3x5) – n
448 = (3xn) – 5
448 = 3 x (5-n)
448 = 3 x (n-5)
109)
The Union Pacific Big Boy was the largest steam locomotive ever built. The locomotive had
24 wheels, 16 of which were 68-inch drive wheels.
If a drive wheel from this locomotive is 68 inches in diameter, what is its circumference?
(c=2𝜋r)
1
A) About 68 inches or 5 2 feet
B) About 107 inches or 9 feet
C) About 214 inches or about 18 feet
1
D) About 427 inches or about 35 2 feet
110)
Thomasina needs to determine the area of a circle with diameter of 30 feet. What is the area?
111)
What would be the radius of a circle with a circumference of 125.66 cm?
A) 10
B) 12
C) 18
D) 20
112)
Which of the following is a characteristic of a useful sample?
A)
B)
C)
D)
It is representative of the population you are studying
It has enough diversity so the results don’t void the study
It is at least 1% of the overall population being studied
It is at least 4% of the overall population being studied
113)
A random sampling of 125 people were asked what size of shoes they wear. Sixty percent of
the people surveyed said they wear size 10 shoes. In a population of 2,000 people, about
how many would wear the size 10 shoes?
A) 960
B) 1,000
C) 1,200
D) 1,360
114)
Ray and Larry are sampling the fish population of a pond. They want to know about how
many fish are in the pond. In the first sample of 100 fish, they place tags on all the fish and
release them back into the pond. In the next sample of 100 fish, 19 of the fish have tags on
them. Using this information, what is the approximate population of fish in the pond?
A) 123
B) 526
C) 1,900
D) 1,919
115)
Each side of a 6-sided die is painted one of three colors. Three of the sides are painted black,
2 of the sides are painted blue, and the remaining side is painted red.
When the die is rolled 60 times, which of these events is closest to its expected probability as
predicted by mathematics?
A) Black rolled 60 times
C) Red rolled 15 times
B) Blue rolled 20 times
D) Black rolled 15 times
116)
Mark rolls a 6-sided die seven times. He has rolled a 6 twice, a 5 twice, and a 2 three times.
What is the probability that he will roll another 2?
A) 3/7
B) 1/6
C) 2/7
D) 1/3
117)
To select the student of the week, Mr. Jones puts all of his students’ names in a hat. When a
student is selected, his or her name is not put back into the hat. There are 13 boys and 13
girls in the class. The first three weeks of school, three boys were chosen as student of the
week. For the fourth week, what is the probability that a girls name will be selected?
A) 13/26
B) 10/23
C) 13/23
D) 10/26
118)
Phyllis has a box of cookies. There are 6 sugar cookies in the box, and there are 8 oatmeal
cookies in the box. If Phyllis takes a cookie from the box without looking, what is the
probability she will get an oatmeal cookie?
A) 3/7
B) 4/7
C) ¾
D) 4/3
119)
What is the probability that a black marble in a bag with 3 blue marbles will be drawn on the
first attempt and that a coin flipped at the exact same time as the marble drawing will land on
heads instead of tails?
A) 0.10
B) 0.125
C) 0.25
D) 0.555
120)
After taking a keyboarding class, Raul is able to type 35 words per minute. At this rate, how
long will it take him to type a 7,000-word term paper?
A) 200 min
B) 60 min
C) 20 min
D) 0.0005 hour
121)
The state legislature has proposed instituting a “graduated license” for the state’s teenaged
drivers, which limits new teenaged drivers to daytime driving only. In addition, the restricted
license limits new teenaged drivers to transport only one unrelated passenger under the age
of 18. Ralph wants to conduct a survey to find out how much support there is for the
proposed changes among the general public.
Which of the following would be the BEST way to conduct his survey?
A)
B)
C)
D)
Contact every resident of the state and ask them
Survey every member of the junior class in his high school
Survey a random sample of the parents of all the students in his high school
Survey a random sample of all registered voters in the state
122)
A scientist caught, tagged, and released back into a lake 75 trout. At the end of the next 30
days, the scientist caught 100 trout, 5 of which were tagged from the previous catch and
release.
Which of the following would be the best estimate of the total trout population in this lake
based only on the results of the research?
A) 750
B) 1,500
C) 7,500
D) 12,750
123)
Shiny Bright Toy Company is having problems with quality control. Some customers have
been complaining that parts are missing from their model car kits. Management decides to
conduct a study to see how large the problem is. They randomly select 50 kids from one
day’s production and find that 3 of the kits are missing pieces.
If the factory normally produces 5,000 kits per day, how many are like to be missing pieces?
A) 30
B) 50
C) 300
D) 500
124)
A regular deck of 52 cards has four suits: hearts, diamonds, spades, and clubs. What is the
probability of drawing a diamond?
A) 0
B) 1/4
C) 1/13
D) 1/52
125)
A box of animal crackers has 8 different types of animals in it. Miranda takes 8 animal
crackers out of the box and finds 3 lions. If the box of animal crackers has 32 crackers in
total, how many lions should Miranda expect to find in the box based on these results?
A) 7 lions
B) 9 lions
C) 12 lions
D) 18 lions
126)
Some friends were throwing rocks at a can. Each of the 4 friends threw 10 rocks. Jasper hit
the can 5 times. Robin hit the can 9 times. Annie hit the can 6 times. Rodrigo hit the can 8
times. Based on these results, in Annie throws another rock, what is the probability that she
will hit the can?
A) 3/20
B) 3/5
C) 7/11
D) 7/10
127)
In a bag of mixed nuts, there are 28 peanuts, 14 cashews, 22 almonds, 10 walnuts and 6
pecans. If 1 nut is taken from the bag without looking, what is the probability that a peanut
will be selected?
A) 7/25
B) 7/13
C) 13/20
D) 7/20
128)
Jim is making a banana split. He is going to use 3 scoops of ice cream. He has vanilla,
chocolate, and strawberry to choose from. How many different combinations of 3 scoops of
ice cream does Jim have to choose from if the arrangement of the scoops does not matter?
A) 9
B) 10
C) 18
D) 27
129)
Five out of eight students in Mr. Hare’s Science class have projects in the Science fair. Mr.
Hare has a total of 152 students. How many have projects in the Science fair?
A) 5
B) 40
C) 57
D) 95
130)
Simon created the following table:
x
Y
3
9
4
12
5
15
6
18
Does this table show a proportional relationship? Explain your reasoning.