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9th Grade Math

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1 

Mitsu purchased a basketball hoop for her driveway from a sporting goods store. After the sales tax rate of 6% was applied, the total cost came to $148.40. How much money would Mitsu have saved if she had used a coupon good for a 10% discount?
A
$140.00
C
$14.84
B
$8.40
D
$133.56
 
 
The table below shows the cost of making a long distance call based on the length of the call.
Long Distance Rates
Time (minutes)
Cost
5
$0.65
6
$0.74
7
$0.83
8
$0.92
9
$1.01
10
$1.10
 

 2 

Refer to the table of long distance rates. How much would a long distance call that lasts 13 minutes cost?
A
$1.44
C
$1.37
B
$1.59
D
$1.17
 

 3 

The Shengs rented a minivan for their family vacation. When they returned from vacation, the total bill for the van was $545. The standard weekly rate from the rental company is $325 plus $55 for each additional day of usage. How many additional days did the Shengs have the minivan?
A
4 days
C
5 days
B
3 days
D
6 days
 

 4 

A company that manufactures containers for powder has changed the container. Below are the new and old versions of the packaging for the powder.
mc004-1.jpg
The company wishes to make a new package with double the volume of the old package. Both containers are 12 centimeters tall. What must the radius of the new package be?
A
8 centimeters
C
5 centimeters
B
2.8 centimeters
D
4 centimeters
 

 5 

Fitness experts rely on a calculation called the Basal Metabolic Index (BMI) to determine whether a person is overweight. The BMI is calculated using a formula, which for a person 68 inches tall is given by mc005-1.jpg, where w is the person’s weight in pounds and B is the BMI. Which of the following equations is equivalent to mc005-2.jpg?
A
mc005-3.jpg
C
mc005-5.jpg
B
mc005-4.jpg
D
mc005-6.jpg
 

 6 

Suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. What is the probability of rolling a number less than 4 and spinning a B?
mc006-1.jpgmc006-2.jpg
A
mc006-7.jpg
C
mc006-9.jpg
B
mc006-8.jpg
D
mc006-10.jpg
 
 
The table shows the number of students in each grade who participate in foreign language clubs at Meadowlark High School. Each student participates in only one club.
Foreign Language Clubs
Language
9th Grade
10th Grade
11th Grade
12th Grade
Spanish
14
15
9
11
German
13
13
11
6
French
6
10
5
9
 

 7 

Which grade has the highest number of students who participate in foreign language clubs?
A
10th grade
C
11th grade
B
12th grade
D
9th grade
 

 8 

The dimensions of a sailboat’s mainsail are shown below. What is the height of the sail?
mc008-1.jpg
A
24 feet
C
24.6 feet
B
26 feet
D
27 feet
 

 9 

What are the vertices of Triangle A¢B¢C¢ after Triangle ABC is reflected across the y-axis?
mc009-1.jpg
A
A¢(2, –4), B¢(–2, –1), C¢(6, 2)
C
A¢(4, 2), B¢(1, –2), C¢(–2, 6)
B
A¢(–4, –2), B¢(–1, 2), C¢(2, –6)
D
A¢(4, 2), B¢(–2, 1), C¢(2, 6)
 
 
Lusita is taking night classes to learn English as a second language. The classroom has the dimensions shown below.
nar003-1.jpg
 

 10 

The local fire code specifies that rooms can have no more than one occupant per 7 square feet of space. According to this code, if each linear unit of the coordinate grid represents 3.1 feet, what is the maximum number of occupants the classroom can hold?
A
46 occupants
C
15 occupants
B
5 occupants
D
48 occupants
 

 11 

A bicycle rental company charges customers a deposit of $4.00 plus an hourly rate as shown in the graph. What is the slope of the line joining these points, and what does the slope represent?
Bicycle Rental Rates
mc011-1.jpg
A
The slope is 2.5. This means that a customer used the bicycle for 2.5 hours.
B
The slope is 4. This represents the deposit of $4.00.
C
The slope is 2.5. This represents the rental charge of $2.50 per hour.
D
The slope is 4. This represents the rental charge of $4.00 per hour.
 

 12 

In the figure below, a square is inscribed inside of a circle creating four equally sized regions. Which of the following expressions could be used to determine the area of the shaded region?
mc012-1.jpg
A
mc012-4.jpg square feet
C
mc012-6.jpg square feet
B
mc012-5.jpg square feet
D
mc012-7.jpg square feet
 

 13 

How many gallons of water will it take to completely fill the child’s swimming pool shown below? Use 3.14 for pi and round your answer to the nearest tenth. (Hint: mc013-1.jpg.)
mc013-2.jpg
A
140.9 gallons
C
563.7 gallons
B
18.8 gallons
D
176.1 gallons
 

 14 

Refer to the ingredients needed for the cookie recipe. How many cups of flour would be needed to bake 80 cookies?
Chocolate Chip Cookie Recipe
Yield: 20 cookies
Margarine1 cup
Sugarmc014-1.jpg cups
Eggs1 egg
Flourmc014-2.jpg cups
Baking Soda1 teaspoon
Saltmc014-3.jpg teaspoon
Chocolate Chips12 oz package
A
mc014-6.jpg cups
C
mc014-8.jpg cups
B
mc014-7.jpg cups
D
mc014-9.jpg cups
 

 15 

Eric can drive his car 116 miles on 4 gallons of gasoline. At this rate, how far can he drive on a full tank of 13 gallons?
A
406 miles
C
261 miles
B
35.7 miles
D
377 miles
 

 16 

The Great Pyramid of Giza originally had a height of about 150 meters. If a scale model of the pyramid is built as shown below, what will be the height of the model? Round your answer to the nearest tenth if necessary.
mc016-1.jpg
A
41.7 centimeters
C
750 centimeters
B
30 centimeters
D
26.7 centimeters
 

 17 

The school athletic boosters are making pennants. Each pennant is cut in the shape of a triangle 5 feet long and 1 foot high.
mc017-1.jpg
How many square yards of fabric are needed to make 300 pennants (assuming no waste)?
A
83.3
C
166.7
B
750
D
1,500
 

 18 

Which of the following symbols will make a true sentence when inserted in the blank?
mc018-1.jpg ____ 0.5385
A
mc018-7.jpg
C
mc018-9.jpg
B
mc018-8.jpg
D
mc018-10.jpg
 

 19 

When a soccer ball is kicked straight up into the air with an initial velocity of v feet per second, the height of the ball, in feet, after t seconds can be found using the formula mc019-1.jpg. Write an equation that can be used to find the height of the soccer ball after 1.5 seconds.
A
mc019-3.jpg
C
mc019-5.jpg
B
mc019-4.jpg
D
mc019-6.jpg
 

 20 

A safety engineer calculates the minimum length of a guy wire supporting a radio antenna to be mc020-1.jpg meters long. Between what two consecutive integers does mc020-2.jpg lie on a number line?
A
19 and 20
C
22 and 23
B
20 and 21
D
18 and 19
 
 
The table shows the mass (in kilograms) of several planets.
Mass of Planets
Planet
Mass (kilograms)
Neptune
nar004-1.jpg
Jupiter
nar004-2.jpg
Uranus
nar004-3.jpg
Mars
nar004-4.jpg
Source: http://www.noblemind.com
 

 21 

Which of the four planets listed in the table has the smallest mass?
A
Uranus
C
Mars
B
Neptune
D
Jupiter
 

 22 

A small electronic scale in Mrs. Peterson’s chemistry classroom has a precision of mc022-1.jpg grams. Express this precision as a number using standard notation.
A
0.000025 grams
C
0.0000025 grams
B
2.5 grams
D
2,500,000 grams
 

 23 

Express mc023-1.jpg as a fraction in reduced form.
A
mc023-4.jpg
C
mc023-6.jpg
B
mc023-5.jpg
D
mc023-7.jpg
 

 24 

What is the multiplicative inverse of mc024-1.jpg?
A
mc024-4.jpg
C
mc024-6.jpg
B
mc024-5.jpg
D
mc024-7.jpg
 

 25 

Cathy can rent a chainsaw from a home improvement store for a deposit of $12 plus $4.50 per hour of rental time. She could buy the same chainsaw from the store for $120. Neglecting sales tax, for how many hours would Cathy have to rent the chainsaw in order for the rental charge to exceed the purchase price?
A
24 hours
C
27 hours
B
23 hours
D
19 hours
 

 26 

Mrs. Sheng is stocking a freshwater aquarium with tropical fish for her science classroom. To prevent the tank from getting too crowded, she doesn’t want to have more than 2 fish for every 5 gallons of water. Using this guideline, estimate the maximum number of fish that Mrs. Sheng can put in the aquarium.
mc026-1.jpg
A
about 20 fish
C
about 10 fish
B
about 28 fish
D
about 42 fish
 

 27 

Jhan is driving 256 miles to his grandparents’ house for the holidays. So far he has driven 16 miles in 14.6 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.
A
about 4 hours
C
about 8 hours
B
about 3 hours
D
about 5 hours
 
 
Five points are plotted on the number line as shown below.
nar005-1.jpg
 

 28 

Which two points will result in a negative number when multiplied together?
A
B and B
C
D and B
B
D and D
D
E and C
 

 29 

What is the best estimate of the area of the figure below? Each square represents one square unit.
mc029-1.jpg
A
27 square units
C
5 square units
B
21 square units
D
16 square units
 

 30 

An overhead view of a farm pasture is shown below. A farmer wants to know the approximate number of cows that could fit in the pasture. The farmer has determined that 4 cows could fit into the part of the pasture that is shaded below. If the entire pasture is filled with cows, how many cows should the farmer estimate can fit into the pasture?
mc030-1.jpg
A
80
C
20
B
4
D
40
 



 
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