N.MR.07.02 Solve problems involving derived quantities such as density, velocity, and
weighted averages.
1.
Mario rode 275 miles on a passenger train. It took him 5 hours to reach his destination.
What was the average speed of the train?
A.
B.
C.
D.
40 mph
65 mph
45 mph
55 mph
Answer: D
2.
The grades in Mr. Peterson’s Math class are based on the following breakdown:
Homework = 10%
Quizzes = 10%
5 Exams = 50%
Final Exam = 30%
Total = 100%
If Kevin’s grades are as follows:
Homework = 88
Quiz Average = 80
Exams = 89, 74, 70, 78, 95
Final Exam = 82
What is his final grade for the class?
A.
B.
C.
D.
83.8
88.9
82
86.1
Answer: C
3.
The density of mercury is 14 g/cm3. If there are 6 cm3 of mercury, what is the mass?
A.
B.
C.
D.
63 g
84 g
2.33 g
0.43 g
Answer: B
Grade 7 Math Assessment – August 2008 Revision
1
4.
The population of Michigan was 10,079,985 in 2003. The area of Michigan is 56,809
square miles. What was the approximate population density, in people per square mile, in
2003?
A.
B.
C.
D.
0.01 people per square mile
28 people per square mile
177 people per square mile
333 people per square mile
Answer: C
N.FL.07.03 Calculate rates of change, including speed.
1.
Jefferson Middle School opened in 1998 with 42 eighth grade students. The table below
shows the increase in the number of eighth graders.
Eighth Grade Enrollment
Number of
Students
42
59
76
93
Year
1998
1999
2000
2001
What is the rate of increase in the number of eighth graders at Jefferson Middle School?
A.
B.
C.
D.
17 students/year
23 students/year
42 students/year
51 students/year
Answer: A
2.
A swimming pool is being filled with water at a rate of 1 inch/minute. The owners started
filling the pool at 6:00 a.m. What time was it when the water was 6 feet deep?
A.
B.
C.
D.
6:06 a.m.
7:06 a.m.
7:00 a.m.
7:12 a.m.
Answer: D
Grade 7 Math Assessment – August 2008 Revision
2
3.
Eric swam 200 meters in 2 minutes 5 seconds. What was his speed in meters per second?
A.
B.
C.
D.
0.9 m/sec
1.6 m/sec
20 m/sec
40 m/sec
Answer: B
4.
Trina’s car uses 10 gallons of gas to travel 110 miles. If she has 5 gallons of gas in the tank,
how much more gas will she need to drive 187 miles?
A.
B.
C.
D.
10 gallons
17 gallons
12 gallons
11 gallons
Answer: C
5.
At the convenience store you can buy 7 pencils for $1.54. How much does it cost to buy 65
pencils?
A.
B.
C.
D.
$14.30
$17.25
$12.60
$16.80
Answer: A
6.
Stacy rowed across the lake with her friend Rainey (in the same boat) at a rate of 4 mph.
Rainey then rowed back at a rate of 3 mph. If the lake is 6 miles across, how long did it
take them to complete their trip?
A.
B.
C.
D.
4 1/2 hours
4 1/6 hours
3 1/2 hours
2 7/10 hours
Answer: C
Grade 7 Math Assessment – August 2008 Revision
3
7.
Stefan rode a bike a total of 17.5 miles in 7 hours at a constant speed. What was Stefan’s
speed?
A.
B.
C.
D.
0.4 mile per hour
2.5 miles per hour
10.5 miles per hour
24.5 miles per hour
Answer: B
8.
Sara ran a 10-kilometer race in 1.25 hours at a constant rate. At what rate did
she run the race?
A.
B.
C.
D.
8.00 kilometers per hour
8.75 kilometers per hour
10.00 kilometers per hour
11.25 kilometers per hour
Answer: A
9.
A worker can assemble a maximum of 125 boxes in 5 hours. What is the maximum rate
that can be achieved by 3 workers?
A.
B.
C.
D.
25 boxes per hour
75 boxes per hour
125 boxes per hour
375 boxes per hour
Answer: B
10.
Larry drove his car 100 miles to see a football game. Then he drove 100 miles home after
the game. When he Left for the game, he had exactly 12 gallons of gas in his tank. When
he returned home after the game, he had exactly 4 gallons. What was the gas mileage of
Larry’s car, in miles per gallon if he did not stop for gas?
A.
B.
C.
D.
8.33 miles per gallon
12.50 miles per gallon
16.66 miles per gallon
25.00 miles per gallon
Answer: D
Grade 7 Math Assessment – August 2008 Revision
4
11.
Two cities are 60 miles apart. Kip drove from one city to the other in 1 hour. Because of
traffic, it took Kip 2 hours for the return trip. What was the average speed for the entire
trip?
A.
B.
C.
D.
30 miles per hour
40 miles per hour
45 miles per hour
120 miles per hour
Answer: B
N.MR.07.04 Convert ratio quantities between different systems of units, such as feet per
second to miles per hour.
1.
Convert to meters/minute: 1.2 kilometers/hour
A.
B.
C.
D.
24 meters/minute
30 meters/minute
25 meters/minute
20 meters/minute
Answer: D
2.
Convert to yards/minute: 2 feet/second
A.
B.
C.
D.
60 yards/minute
30 yards/minute
40 yards/minute
50 yards/minute
Answer: C
3.
Convert 25 centimeters to kilometers.
A.
B.
C.
D.
250 kilometers
0.025 kilometers
2500 kilometers
0.00025 kilometers
Answer: D
Grade 7 Math Assessment – August 2008 Revision
5
4.
Michael walks at a rate of 6 feet per second. Which is closest to this rate in miles per hour?
(1 mile = 5,280 feet, 1 hour = 3,600 seconds)
A.
B.
C.
D.
5.
3.0
3.5
4.0
4.5
A butcher shop is selling steak for $4.00 per pound. What is the cost per ounce?
A.
B.
C.
D.
$0.25
$0.33
$0.40
$0.64
Answer: A
6.
A recipe calls for 1 cup of strawberries per pint of yogurt. How many cups of strawberries
would be needed per gallon Of yogurt?
A.
B.
C.
D.
4
8
16
32
Answer: B
7.
A car is traveling at a rate of 44 feet per Second, Which best represents this speed in miles
per hour?
A.
B.
C.
D.
15.8
30
60
64.5
Answer: B
Grade 7 Math Assessment – August 2008 Revision
6
N.FL.07.05 Solve simple proportion problems using such methods as unit rate, scaling,
finding equivalent fractions, and solving the proportion equation a/b = c/d; know how to
see patterns about proportional situations in tables.
1.
A recipe calls for (1/3) cup of milk for 11 cookies. If you want to use this recipe to make 33
cookies, how many cups of milk would you need?
A.
B.
C.
D.
1 cups of milk
2 cups of milk
8 cups of milk
4 cups of milk
Answer: A
2.
A college has a student to teacher ratio of 25 to 2. If there are 176 teachers at the college,
how many students attend the college?
A.
B.
C.
D.
3,150
2,200
3,220
88
Answer: B
3.
In the flower garden, there are 4 tulips for every 7 daisies. If there are 36 tulips, how many
daisies are there?
A.
B.
C.
D.
49
56
63
35
Answer: C
4.
Jake is making lemonade for the school picnic. It takes 4 Pints of lemonade mix to serve
15 students. At that rate, how many pints of lemonade mix would be needed to serve
150 students?
A.
B.
C.
D.
40
60
210
600
Answer: A
Grade 7 Math Assessment – August 2008 Revision
7
5.
1
2
parts lemon-lime soda for each 1 part lemonade. If Diana uses 3 quarts of lemonade, how
many quarts of soda should she use?
Diana is making punch for her grandparents’ anniversary party. The recipe calls for 2
1
2
1
B. 5
2
C. 6
1
D. 7
2
A. 1
Answer: D
6.
In Ian’s math class, the ratio of students with brown hair to students with blond hair is 3:2.
If there are 12 students with blond hair, how many students have brown hair?
A.
B.
C.
D.
8
15
18
36
Answer: C
7.
1
cup of sugar. The recipe makes 3 servings. Which equation can be used
8
to determine how much sugar would be needed in order to make enough for 24 servings?
A recipe calls for
A. 24  8 = 3
1
3
B. 3 x =
8
8
1
C. 3  = 24
8
1
D.
x8=1
8
Answer: D
Grade 7 Math Assessment – August 2008 Revision
8
N.MR.07.06 Understand the concept of square root and cube root, and estimate using
calculators.
1.
Simplify: 441
A.
B.
C.
D.
20
│a│
39
21
Answer: D
2.
Simplify: The 3 over the root sign means “cube root.”
A.
B.
C.
D.
2
4
1
3
Answer: C
3.
Simplify: 144
A.
B.
C.
D.
13
|a|
12
52
Answer: C
4.
The square root of 75 is between which two numbers?
A.
B.
C.
D.
4 and 5
8 and 9
l8 and l9
37 and 38
Answer: B
Grade 7 Math Assessment – August 2008 Revision
9
5.
The area of a square floor is 705 square feet. Which is closest to the length of each side of
the floor?
A.
B.
C.
D.
between 352 and 353 feet
between 176 and 177 feet
between 24 and 25 feet
between 26 and 27 feet
Answer: D
6.
Each face of a cube has an area of 4 square inches. What is the length of one edge of the
cube?
A.
B.
C.
D.
2 inches
4 inches
8 inches
16 inches
Answer: A
7.
A square has an area of 40 square centimeters. What is the length of one side of the square?
A. 3 40 centimeters
B. 40 centimeters
C. 10 centimeters
D. 20 centimeters
Answer: B
8.
The volume of a cube is 64 cubic inches. What is the length of one side?
A.
B.
C.
D.
2 inches
4 inches
8 inches
16 inches
Answer: B
Grade 7 Math Assessment – August 2008 Revision
10
N.FL.07.07 Solve problems involving operations with integers.
1.
-2 x 6 = ___
A. 12
B. -12
C. 3
1
D. 
3
Answer: B
2.
2 - (-6) = ___
A.
B.
C.
D.
4
-4
8
-8
Answer: C
3. -2 ÷ (-6) = ___
A. 3
B. -3
1
C.
3
D. 
1
3
Answer: C
4.
The temperature at sunrise on Tuesday was -4°C. It increased 12°C by noon, What was the
temperature at noon?
A.
B.
C.
D.
-16°C
-8°C
8°C
16°C
Answer: C
Grade 7 Math Assessment – August 2008 Revision
11
5.
At noon the temperature was 20°F. It dropped 25°F that day, and another 5°F before
midnight. What was the temperature at midnight?
A.
B.
C.
D.
-10°F
-5°F
0°F
10°F
Answer: A
6.
The temperature required for an experiment in the lab chamber is -165°F Currently, the
temperature in the lab chamber is 32°F. What change in temperature is needed to get the
lab chamber to the correct temperature? (Positive represents an increase in temperature and
negative represents a decrease in temperature.)
A.
B.
C.
D.
-197°F
-133°F
133°F
197°F
Answer: A
7.
A team of geologists was studying subsoil conditions on a planned building site. Starting
6 meters above sea level, they drilled down 5 meters and then down another 5 meters. The
final sample was taken 3 meters below that. If zero represents sea level, which number
represents the Final depth in meters to which the team drilled?
A.
B.
C.
D.
-3
-7
-13
-19
Answer: B
N.FL.07.08 Add, subtract, multiply and divide negative rational numbers.
1.
Simplify the following expression: (-75) ÷ 15
A.
B.
C.
D.
6
5
-4
-6
Answer: D
Grade 7 Math Assessment – August 2008 Revision
12
2.
8
6
+
5 10
4
5
1
B. 2
5
1
C. 1
3
7
D. 1
12
A. 1
Answer: B
3.
Simplify the following expression: 20 + (-7)
A.
B.
C.
D.
13
-13
27
21
Answer: A
4.
Pudge is playing a video game that uses numbers to move the characters. Negative numbers
move the characters to the left and positive numbers move the characters to the right. His
character is at the starting point. Which of the following combinations of numbers will
move his character around and then back to the starting point?
A.
B.
C.
D.
(-8) + (13) + (-7) + (2) + (2)
(-3) + (14) + (7) + (-10) + (-9)
(21) + (-9) + (6) + (-12) + (-6)
(19) + (-23) + (5) + (-3) + (0)
Answer: C
5.
1
 3
 3    
2
 4
A.
B.
C.
D.
4¼
-4 ¼
-1 ¾
1¼
Answer: C
Grade 7 Math Assessment – August 2008 Revision
13
6.
6.2 + 3.9 = _______
A.
B.
C.
D.
2.3
-2.3
-3.3
10.1
Answer: D
7.
Divide -108 ÷ -9
A.
B.
C.
D.
-117
-12
12
117
Answer: C
8.
Multiply
 4 1

5
3
5
8
4
B.
15
4
C.
15
5
D.
8
A.
Answer: A
9.
A Store manager keeps a record of his inventory by adding a positive number whenever he
receives a delivery and adding a negative number whenever he makes a sale. Below is an
expression showing his records for one week. What is the value of the expression?
A.
B.
C.
D.
15
20
25
85
Answer: C
Grade 7 Math Assessment – August 2008 Revision
14
10.
Which expression is equal to -0.25?
A.
B.
C.
D.
-1 – 0.75
-0.5 x 0.5
-3.25 + 3.5
-1 ÷ -4
Answer: B
11.
Four students were playing a math game. They had to solve the equation below.
-4 + 2 x (-3) x (-5) = n
Alice answered n = -30
Brian answered n = -10
Cindy answered n = 26
David answered n = 90
Which student had the correct answer?
A.
B.
C.
D.
Alice
Brian
Cindy
David
Answer: C
N.FL.07.09 Estimate results of computations with rational numbers.
1.
Choose the best estimate for 8
A.
B.
C.
D.
1
2
5
4
3
1
2
3
4
Answer: C
2.
Erika bought 24 folders and 24 bottles of glue at the office supply store. The folders cost
$1.09 each and the bottles of glue cost $1.29 each. Which amount is the closest to the
amount Erika spent?
A.
B.
C.
D.
$48
$60
$72
$120
Answer: B
Grade 7 Math Assessment – August 2008 Revision
15
3.
Which of the following is the best estimate for 13.67 ÷ 3.33?
A.
B.
C.
D.
2
4
7
1
Answer: B
4.
Estimate the following: 998.4 + 999.4
A.
B.
C.
D.
about 2,000
about 2,300
about 2,100
about 1,700
Answer: A
5.
Miranda bought 6 CDs. Each CD cost her $14.92. Which is the best estimate of the total
cost of the CDs?
A.
B.
C.
D.
$90
$81
$99
$78
Answer: A
6.
Richard bought 4 eggplants. The eggplants weighed between 4 ounces and 9 ounces each.
Which is a reasonable total weight of all 4 eggplants?
A.
B.
C.
D.
27 ounces
14 ounces
45 ounces
-1 ounces
Answer: A
7.
Peter bought a suit on sale. The original price of the suit was $149.50. The price of the suit
was reduced by 20%. Approximately how much did Peter pay for the suit, including the 5%
sales tax?
A.
B.
C.
D.
$120
$125
$135
$140
Answer: B
Grade 7 Math Assessment – August 2008 Revision
16
8.
Jill is putting a tile floor in her kitchen. She needs 52 tiles to cover the whole floor. There
are 24 tiles in a box. A box costs $23.95. Individual tiles coast $2.95. Sales tax is 5%.
Approximately how much will 52 tiles cost, including sales tax?
A.
B.
C.
D.
$50
$57
$60
$63
Answer: D
1
1
3
9. Estimate the sum of these two fractions 3  4 , then decide if the sum is closer to 7 or 8.
2
2
5
A. Closer to 8
B. Closer to 7 ½
Answer: A
10.
Which of the following is closest to the value of the expression? -71.83 ÷ -9.26
A.
B.
C.
D.
-10
-8
8
10
Answer: C
11.
Mary is buying 3 computer games for $19.99 each and one box of blank disks for $4.95.
The sales tax is 6%. Which is closest to the amount she must pay for all the items,
including tax?
A.
B.
C.
D.
$60
$64
$65
$68
Answer: D
Grade 7 Math Assessment – August 2008 Revision
17
12.
Alice is buying carpet. The carpet is sold by the square yard. The carpet she chooses costs
1
1
$19.95 per square yard. The size of her room is 9 feet by 11 feet. Which is closest to
2
2
how much the carpet costs?
A.
B.
C.
D.
$120
$240
$1,100
$2,100
Answer: B
13.
A cube has edges that are 11.9 inches in length. Which is closest to the volume of the cube
in cubic feet?
A.
B.
C.
D.
0.5 cubic foot
l cubic foot
1.5 cubic feet
144 cubic feet
Answer: B
A.PA.07.01 Recognize when information given in a table, graph, or formula suggests a
proportional or linear relationship.
1.
Which table shows the pattern of a linear relationship?
A.
B.
C.
D.
Table A
Table B
Table C
Table D
Answer: A and B
2.
Table A
X
-3
-2
-1
0
01
2
3
Table B
Y
3
2
1
0
1
2
3
X
-3
-2
-1
0
1
2
3
Which equation describes a linear relationship?
A.
B.
C.
D.
y = 4x
y = (x-2)2
x/y = 25
Both a and c
Answer: D
Grade 7 Math Assessment – August 2008 Revision
18
Y
-7
-5
-3
-1
1
3
5
Table C
X
5
-3
0
-2
-1
1
2
Y
2
-6
-3
1
2
4
5
Table D
X
-3
0
2
-1
-2
3
4
Y
-5
1
5
-1
-5
-7
-9
3.
Which graph suggests a directly proportional relationship?
A.
B.
C.
D.
Graph A
Graph B
Graph C
Graph D
Answer: B and C
4.
The graph below shows the correlation between the number of miles Amber travels each
week and the number of gallons of gas she uses each week. This week, Amber used 2.5
gallons of gas. According to the graph, how many miles did she travel this week?
A.
B.
C.
D.
15 miles
55 miles
35 miles
25 miles
Answer: D
5.
The table below shows the cost of going to the Sam Hill Bar-B-Q Challenge. The event has
an admissions fee and then charges a separate amount for each sample of Bar-B-Q. Based
on the information in the table, what is the price per sample?
A.
B.
C.
D.
$3.40
$3.00
$2.50
$4.00
0
Total Cost
(in dollars)
4
2
10
4
16
6
22
8
28
10
34
Bar-B-Q Samples
Answer: B
Grade 7 Math Assessment – August 2008 Revision
19
6.
Rocco is cooking rice. The amounts of rice he needs for one, two, and three servings are
1
1
3
cup, cup, and cup. Which of the following best describes this pattern?
4
2
4
1
cup more than the previous one.
2
1
B. It is linear because each amount is cup more than the previous one.
4
C. It is nonlinear because each amount is not related to the previous one.
D. It is nonlinear because each amount is twice the previous one.
A. It is linear because each amount is
Answer: B
A.RP.07.02 Represent directly proportional and linear relationships using verbal
descriptions, tables, graphs and formulas, and translate among these representations.
1.
Hunter saves $0.50 each day during the month of July. Let j represent the date in July and
m represent the money hunter saved. Which equation can be used to find the total amount
of money saved by any date in July?
A.
B.
C.
D.
M = j-0.50
M = j+0.50
M = j/0.50
M = 0.50j
Answer: D
2.
What is the x-intercept and slope of this graph?
1
3
1
B. x-intercept: 1 slope: 3
1
C. x-intercept: 3 slope:
3
1
D. x-intercept: 3 slope: 3
A. x-intercept: 1 slope:
Answer: D
Grade 7 Math Assessment – August 2008 Revision
20
3.
Which equation expresses the relationship given in this table?
X Y
A. x + 4 = -7
-3 -7
B. x - 4 = y
-2 -5
C. y = x - 4
-1 -3
D. y = 2x -1
0 -1
1 1
Answer: D
4.
Jeremy has exactly $100 saved. Starting today, he will earn $8 a week for doing chores.
Jeremy plans to save all of his money. Which equation best represents, y, the total amount
of money he should have saved after x weeks?
A.
B.
C.
D.
y = 8x
y = l00x
y = 8x+100
y = l00x+8
Answer: C
5.
The table below shows some information about a car driving at a constant speed on an
interstate highway. Which equation represents the relationship shown in the table between,
d, distance, and, t, time?
A.
B.
C.
D.
d = 0.5t
d = 1t
d = 30t
d = 60t
Answer: D
6.
Which of the following equations matches the values in the chart below?
A.
B.
C.
D.
y = 3x
y = 2x + l
y = 3x + 1
y = 5x – 2
Answer: B
Grade 7 Math Assessment – August 2008 Revision
21
7.
When asked to give the equation for the
following line, four students gave
different responses. Who correctly
matched an equation with the graph?
A.
B.
C.
D.
Alice: y = -x
Bert: y = -x + 6
Carrie: y = x
Don: y = x + 6
Answer: B
8.
Which of the following equations states that y is directly proportional to x?
A. y = 1.5x
B. y + 5 = 2x
y
C.
-3=x
2
D. y = x + 1
Answer: A
A.PA.07.03 Given a directly proportional or linear situation, graph and interpret the slope
and intercept(s) in terms of the original situation; evaluate y = kx for specific x values,
given k, e.g., weight vs. volume of water, base cost plus cost per unit.
1.
The table below shows some values of x and y, where x is directly proportional to y.
What are the values of P and Q?
A.
B.
C.
D.
P = 13 and Q = 12
P = 18 and Q = 12
P = 18 and Q = 20
P = 36 and Q = 48
Answer: C
Grade 7 Math Assessment – August 2008 Revision
22
x
y
4
8
Q
9
P
45
2.
This is a three part problem. You have to make a graph, answer a question in writing, then
pick from the multiple choice options.
Troy is collecting money for charity by participating in a walk-a-thon. His grandparents
will give him $100 before he even starts the walk, and he will collect an additional $53 per
mile from other people in his neighborhood. Graph this relationship. Let y = the total
amount collected, and x = the number of miles he walks.
What does the slope of your line stand for, given the problem situation? Given your graph,
what does the y-intercept stand for?
A.
B.
C.
D.
the number of miles he walks
the amount per mile
the amount he gets from grandparents
the total amount
Answer: C
3.
Troy is collecting money for charity by participating in a walk-a-thon. His grandparents
will give him $100 just for doing the walk, and he will collect an additional $53 per mile
from other people in his neighborhood.
Let y = the total amount collected, and x = the number of miles he walks.
Which equation describes how much Troy will collect, based on his grandparents’
contribution and how many people make a pledge.
A.
B.
C.
D.
y = 100x + 53
53y = x + 100
y = 100x + 53x
y = 53x + 100
Answer: D
Grade 7 Math Assessment – August 2008 Revision
23
4.
Starting the year he was born, Kevin’s
parents have put money into his bank
account every year. Based on the
graph below, which statement best
describes the amounts of money
Kevin’s parents have put in the bank
account?
A. $25 at birth and $25 each
year
B. $25 at birth and $50 each
year
C. $50 at birth and $25 each
year
D. $50 at birth and $50 each
year
Answer: B
Grade 7 Math Assessment – August 2008 Revision
24
5.
The following graphs show Sheila’s monthly income over several 6-month periods. Which
graph shows an increase of $5 per month in Sheila’s income?
Answer: C
A.PA.07.04 For directly proportional or linear situations, solve applied problems using
graphs and equations; e.g., the heights and volume of a container with uniform crosssection; height of water in a tank being filled at a constant rate; degrees Celsius and
degrees Fahrenheit; distance and time under constant speed.
1.
Diane made a graph of the time it took her to read
a 500-page book. How many hours did it take her
to read the first 300 pages?
A.
B.
C.
D.
6
8
10
12
Answer: D
Grade 7 Math Assessment – August 2008 Revision
25
2.
Anne had a lunch card that
was worth $45. Each time she
bought lunch, some money
was deducted from the card.
The amount of money left on
the card after each lunch is
shown on the graph below.
If Anne continues to buy lunch
at this rate, how many lunches
will she buy in all?
A.
B.
C.
D.
3
15
18
45
Answer: B
3.
You can use the equation below to find the temperature in degrees Fahrenheit for any
temperature in degrees Celsius. Today it is the same temperature in Toronto and Detroit.
Toronto is 35o C. What is the temperature in Detroit in degrees Fahrenheit?
9
F  C  32
5
A. 19o F
B. 57o F
C. 63o F
D. 95o F
Answer: D
4.
Caroline swam 510 meters in 6 minutes at a constant rate of speed. At what rate of speed
was she swimming?
A.
B.
C.
D.
80 meters per minute
85 meters per minute
75 meters per minute
95 meters per minute
Answer: B
Grade 7 Math Assessment – August 2008 Revision
26
5.
The graph above shows the revenue
generated from computer sales. Daryl is
New Tech’s leading salesman and just
received an order for 10 computers.
Based on the graph, what is the total
revenue generated by the sale?
A.
B.
C.
D.
$12,000
$12,500
$13,750
$14,200
Answer: B
6.
Byron went to Alaska for a vacation. While there he decided to rent a snowmobile for the
afternoon. The snowmobile rental has a flat fee of $12 plus an hourly fee of $24 per hour.
If Byron used the snowmobile for 4 hours, what is the total cost of the rental?
A.
B.
C.
D.
$108
$76
$144
$140
Answer: A
Grade 7 Math Assessment – August 2008 Revision
27
7.
A walkathon requires $6 to enter and $1 for each mile completed. Which of the following
graphs shows this relationship?
Answer: B
Grade 7 Math Assessment – August 2008 Revision
28
8.
Which of the following could be a record of Mr. Gallagher’s business if his total sales
increased at a constant
rate each week?
A.
B.
C.
D.
Graph A
Graph B
Graph C
Graph D
Answer: B
A.PA.07.05 Understand and use directly proportional relationships of the form y = mx, and
distinguish from linear relationships of the form y = mx + b, b non-zero; understand that in
a directly proportional relationship between two quantities one quantity is a constant
multiple of the other quantity
1.
The amount of interest that someone makes on money in their savings account is directly
proportional to the amount of money they have in the account. If their interest rate is 5%
per year, what is the formula for the amount of interest they get in a year? i = interest, d =
dollars in the account.
A.
B.
C.
D.
i = d + 0.05
i = d/0.05
i = 0.05d
i = d - 0.05
Answer: C
2.
Which one of the following relations is directly proportional?
A. The number of girls is always one more than twice the number of boys
Boys
1
2
3
4
5
Girls
3
5
7
9
11
B. Tammie was always 1 mile ahead of Marilou
Marilou 0
1
2
3
4
Tammie 1
2
3
4
5
C. Together Jerry and Michelle had to deliver 20 newspapers
Jerry
0
5
10
15
20
Michelle 20
15
10
5
0
D. The ratio of boys to girls is 5 to 3
Boys
5
10
15
20
Girls
3
6
9
12
Answer: D
Grade 7 Math Assessment – August 2008 Revision
29
25
15
3.
Chris put $1500 into a savings account at an annual interest rate of 5%. If Chris does not
deposit or withdraw any money, what is the amount of interest Chris will earn the first year
her money is in the savings account?
A.
B.
C.
D.
$750
$500
$75
$50
Answer: C
4.
A telephone company offers different plans to its customers, Which of the following is a
plan in which the cost is directly proportional to the number of minutes spent on the phone?
A.
B.
C.
D.
You pay $40 per month.
You pay 10 cents per minute of calls.
You pay $10 per month plus 5 cents per minute of calls.
You pay 10 cents per minute for weekend and evening calls, and 20 cents per
minute for other times.
Answer: B
A.PA.07.06 Calculate the slope from the graph of a linear function as the ratio of “rise/run”
for a pair of points on the graph, and express the answer as a fraction and a decimal;
understand that linear functions have slope that is a constant rate of change.
1.
Given the points (3, 8) and (8, 12) calculate the slope of the line that the points lie on.
4
5
4
B.
5
4
C.
5
4
D.
5
A.
Answer: C
Grade 7 Math Assessment – August 2008 Revision
30
2.
This is a two-part question.
First, draw the graph of the line that goes through the points (3, 4) and (7, 12).
Second, select the correct slope of this line.
1
2
3
B.
4
2
C.
1
4
D.
1
A.
Answer: C
3.
Which of the following is the best graph of y = -2x?
Answer: A
4.
What is the slope-intercept form of the equation of the line below?
A.
B.
C.
D.
y = 4x - 8
y = (1/4)x - 2
y = -(1/4)x - 2
y = (1/4)x + 2
Answer: D
5.
The slope of a line is the ratio of the
A.
B.
C.
D.
vertical change to the horizontal change between any two points on the line.
x-intercept to the y-intercept.
horizontal change to the vertical change between any two points on the line.
y-intercept to the x-intercept
Answer: A
Grade 7 Math Assessment – August 2008 Revision
31
6.
Determine the slope of the line that passes through the points (-3, -5) and (-2, 1).
A. -6
B. 
6
5
1
6
D. 6
C.
Answer: D
7.
Which appears to be the slope of
the line graphed on the grid?
A. -2
1
B.
2
1
C.
2
D. 2
Answer: A
8.
At 6:00 a.m. Mrs. Jackson started to sell 12 dozen
doughnuts in her convenience store. The following
graph records her doughnut inventory.
At what time did Mrs. Jackson sell out of doughnuts?
A.
B.
C.
D.
9 a.m.
12 noon
2 p.m.
9 p.m.
Answer: C
Grade 7 Math Assessment – August 2008 Revision
32
A.PA.07.07 Represent linear functions in the form y = x + b, y = mx, and y = mx + b, and
graph, interpreting slope and y intercept. (Unit 5)
1.
What is the slope-intercept form of the equation of the line below?
A.
B.
C.
D.
y = -(1/2)x + 3
y = -(1/2)x + 6
y = 2x - 3
y = -2x + 6
Answer: A
2.
What is the y-intercept of the equation? y - 3x = 7
A. -7
B. 9
C. 
3
7
D. 7
Answer: D
3.
Forrest Lumber purchased a table saw for $900. After 5 years the saw had a depreciated
value of $525. What is the amount of yearly depreciation?
A.
B.
C.
D.
$90
$450
$60
$75
Answer: D
Grade 7 Math Assessment – August 2008 Revision
33
4.
What appears to be the vertical intercept
(y-intercept) of the graph below?
3
)
5
5
B. (0, )
3
C. (0, 3)
D. (0, 5)
A. (0,
Answer: D
A.FO.07.08 Know that the solution to a linear equation corresponds to the point at which
its graph crosses the x-axis.
1.
What is the slope of the equation y = 1.5x − 4.5?
A.
B.
C.
D.
-4.5
1.5
3
4.5
Answer: B
2.
What is the slope-intercept equation of the line that contains the points (0, 3) and (1, 1)?
A.
B.
C.
D.
y = 2x+3
y = -2x+3
y = 0.5x+3
y = -0.5x+3
Answer: B
3.
What is the y-intercept of the equation y = 1.5x − 4.5?
A.
B.
C.
D.
-4.5
1.5
3
4.5
Answer: A
Grade 7 Math Assessment – August 2008 Revision
34
4.
Given the equation y = 4x – 8, what is the value of x when y = 0?
A.
B.
C.
D.
-2
2
3
8
Answer: B
A.PA.07.09 Recognize inversely proportional relationships in contextual situations; know
that quantities are inversely proportional if their product is constant, e.g., the length and
width of a rectangle with fixed area, and that an inversely proportional relationship is of
the form y = k/x where k is some non-zero number. (Unit 5)
1.
The time t required to do a job varies inversely as the number of people P who work on the
job. If it takes 5 hours for 10 ranch hands to work 500 head of cattle, how long would it
take for 2 ranch hands to complete the same job?
A.
B.
C.
D.
27.5 hours
20 hours
30 hours
25 hours
Answer: D
2.
Most portrait photographers use fake lighting when taking pictures. The exposure time t of
the film is inversely proportional to the square of the distance, d, a person is sitting from
the light source. Which equation best represents this relationship?
A.
B.
C.
D.
t = kd
t = k/d2
t = k/d
t2 = kd
Answer: B
3.
Given a rectangle with a fixed area, the length l varies inversely as the width w. If the
length of the rectangle is 3.5 in and the width is 10 in, then what is the length if the width is
7 in?
A.
B.
C.
D.
5 in
10 in
6 in
2.5 in
Answer: A
Grade 7 Math Assessment – August 2008 Revision
35
4.
The area of a rectangle is 78 square meters. The width of the rectangle measures 6.5
meters. What is the length, in meters, of the rectangle?
A.
B.
C.
D.
8.8
12.0
19.5
39.0
Answer: B
5.
A landscaper has determined that it will take 3 workers 6 days to complete the landscaping
in front of a new office building. However, the job needs to be completed in just 2 days.
How many workers does he need to get the job done in time?
A.
B.
C.
D.
6
9
12
18
Answer: B
A.RP.07.10 Know that the graph of y=k/x is not a line; know its shape, and know that it
crosses neither the x nor the y-axis.
1.
In the inversely proportional relationship
shown, what is the value of y when x = 300?
A.
B.
C.
D.
5
3
25
1,500
Answer: A
2.
x
y
10
150
15
100
20
75
25
60
30
50
Which of the following is true about the graph of an inversely proportional relationship (of
the form y = k/x)?
A.
B.
C.
D.
It has an x-intercept only.
It has both an x-intercept and a y-intercept.
It has a y-intercept only.
It has neither an x-intercept nor a y-intercept.
Answer: D
Grade 7 Math Assessment – August 2008 Revision
36
3.
Which of the following appears to be the graph of the equation below?
Answer: A
Grade 7 Math Assessment – August 2008 Revision
37
y
2
x
A.PA.07.11 Understand and use basic properties of real numbers: additive and
multiplicative identities, additive and multiplicative inverses, commutativity, associativity,
and the distributive property of multiplication over addition.
1.
What is the sum of a number and its additive inverse?
A.
B.
C.
D.
the opposite of the number
2
0
the reciprocal of the number
Answer: C
2.
What is the multiplicative inverse of 2/3?
2
3
3
B. 
2
2
C.
3
3
D.
2
A. 
Answer: D
3.
What is the equivalent to the value of 3.1(5-4)?
A.
B.
C.
D.
15.5 - 12.4
3.1(-20)
-15.5 + 12.4
15.5 - 4
Answer: A
4.
What is the additive inverse of 7?
A.
B.
C.
D.
7
1
0
-7
Answer: D
Grade 7 Math Assessment – August 2008 Revision
38
5.
What is the multiplicative inverse of 4?
A. -4
B. 1
1
C.
4
1
D.
4
Answer: C
6.
41 2
Which of the following is equivalent to    ?
92 3
4 1 4 2
  
9 2 9 3
4 1 9 2
  
B.
9 2 4 3
4 1 4 3
  
C.
9 2 9 2
4 2 4 3
  
D.
9 1 9 2
A.
Answer: A
7.
What is the multiplicative inverse of
4
5
5
4
4
B. 5
5
C.
4
5
D.
4
A. -
Answer: C
Grade 7 Math Assessment – August 2008 Revision
39
A.FO.07.12 Add, subtract and multiply simple algebraic expressions of the first degree,
e.g., (92x + 8y) – 5x + y, or – 2x (5x – 4), and justify using properties of real numbers.
1.
Simplify (5x – 3y) + (-5x +3y)
A.
B.
C.
D.
0
6y
10x
6y + 10x
Answer: A
2.
Simplify (2y – z) – 3(y + z)
A.
B.
C.
D.
–y
–y – 2z
–y – 4z
y – 4z
Answer: C
3.
The Baskin brothers’ ages are represented by the expression below.
Jim: 3x + 1
Joe: 4x – 2
Jeff: 2x + 3
If the sum of their ages is 47, which of the following equations could be used to find out
how old each is?
A.
B.
C.
D.
9x – 6 = 47
9x + 2 =47
24x – 6 = 47
24x + 2 = 47
Answer: B
4.
Which expression is equivalent to the following? 3(8x – 2y + 7)
A.
B.
C.
D.
24x – 2y + 7
24x – 6y + 21
8x – 6y + 21
11x – 5y + 10
Answer: B
Grade 7 Math Assessment – August 2008 Revision
40
A.FO.07.13 From applied situations, generate and solve linear equations of the form ax + b
= c and ax + b = cx + d, and interpret solutions.
1.
Which value for x makes the sentence true? 3x - 1 = 14
A.
B.
C.
D.
4
5
6
3
Answer: B
2.
What is the first step when solving the equation for x? (1/3) (5x + 2) = 4x
A.
B.
C.
D.
Subtract 3 from each side.
Add 3 to each side.
Multiply each side by 3.
Divide each side by 3.
Answer: C
3.
Forrest Lumber uses the function S(t) = -120t + 840 to determine the salvage value S(t), in
dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate
completely?
A.
B.
C.
D.
7 years
6 years
9 years
-7 years
Answer: A
4.
Mia’s Bike Shop rents skates for $3.00 per hour plus a $5.00 fee. Marcie has exactly
$14.00. Which equation could Marcie use to determine, x, the total number of hours for
which she could rent a pair of skates?
A.
B.
C.
D.
5x + 3 = 14
3x + 5 = 14
3x + 5x = 14
5 + 3 = 14x
Answer: B
Grade 7 Math Assessment – August 2008 Revision
41
5.
A store develops photographs. The cost for this
service can be determined using the table below.
Based on the data in the table, how much would
it cost to develop 36 photographs?
A.
B.
C.
D.
$0.36
$3.60
$6.65
$6.84
Answer: D
G.SR.07.01 Use a ruler and other tools to draw squares, rectangles, triangles and
parallelograms with specified dimensions.
1.
Which best represents a triangle with two sides that are equal in length?
Answer: A
Grade 7 Math Assessment – August 2008 Revision
42
2.
Which triangle has angles that appear to measure 50°, 40°, and 90°?
Answer: C
G.SR.07.02 Use compass and straightedge to perform basic geometric constructions: the
perpendicular bisector of a segment, an equilateral triangle, and the bisector of an angle;
understand informal justifications.
Assessment must be hands-on.
Grade 7 Math Assessment – August 2008 Revision
43
G.TR.07.03 Understand that in similar polygons, corresponding angles are congruent and
the ratios of corresponding sides are equal; understand the concepts of similar figures and
scale factor.
1.
The scale factor from triangle ABC to triangle DEF is 1/2. Side AC measures 5 units. Make
a drawing of these two triangles with approximately correct sides, and label the vertices.
What is the measure of side DF?
A. 5 units
B. 10 units
5
C.
units
2
1
D.
unit
2
Answer: C
2.
In these similar triangles, the ratio of AB to BC is 3:4. What is the ratio of DE to EF?
A.
B.
C.
D.
4:5
4:3
3:4
3:7
Answer: C
3.
What would need to be true for these two figures to be similar?
A. All four sides would have to be the
same length.
B. The tops and bottoms would have to
be parallel.
C. The figures have to look identical
and have two angles of the same size.
D. All angles have to be equal and all sides have to be in the same proportion.
Answer: D
4.
Rectangle LMNO is similar to rectangle WXYZ. What is the scale factor from rectangle
LMNO to rectangle WXYZ?
A.
B.
C.
D.
2
4
9
18
Answer: B
Grade 7 Math Assessment – August 2008 Revision
44
5.
A rectangle has its dimensions multiplied by 4. What happens to its perimeter?
A.
B.
C.
D.
The perimeter is also multiplied by 4.
The perimeter is multiplied by 8.
The perimeter is multiplied by 12.
The perimeter is multiplied by. 16.
Answer: A
6.
Which or the following must be true for two polygons to be similar?
A.
B.
C.
D.
Corresponding angles are congruent.
Corresponding sides are congruent.
The areas of the two polygons are equal.
The perimeters of the two polygons are equal.
Answer: A
7.
Two quadrilaterals are similar. Which of the following must be true?
A.
B.
C.
D.
All corresponding sides are congruent.
All corresponding angles are congruent.
All opposite sides are congruent.
All opposite angles are congruent.
Answer: B
G.TR.07.04 Solve problems about similar figures and scale drawings.
1.
A drawing of a house has a scale of 1 inch = 5 feet. What are the actual dimensions of the
living room if the drawing shows the width to be 2 1/2 inches and the length to be 3 inches?
A.
B.
C.
D.
width 7 1/2 ft., length 8 ft.
width 10 1/2 ft., length 15 ft.
width 12 1/2 ft., length 15 ft.
width 12 ft., length 5 ft.
Answer: C
2.
Jason is building a model airplane. The scale of the model is 1 cm to 1.25 m. if the actual
airplane measures 7.50 meters in length, what will be the length of the model?
A.
B.
C.
D.
1.25 cm
6.00 cm
6.25 cm
7.50 cm
Answer: B
Grade 7 Math Assessment – August 2008 Revision
45
3.
A map of Paul’s neighborhood is shown below.
Which is closest to the distance from Paul’s house to Shane’s house?
A.
B.
C.
D.
120 feet
92 feet
36 feet
30 feet
Answer: B
4.
A model car is built using a scale of 1 centimeter represents 2 feet. If the length of the
model car is 5.5 centimeters, what is the length of the actual car?
A.
B.
C.
D.
3.0 ft
5.5 ft
7.5 ft
11.0 ft
Answer: D
5.
Quadrilateral ABCD and quadrilateral EFGH are similar. What is the length of AD in
centimeters?
A.
B.
C.
D.
16
27
48
56
Answer: C
Grade 7 Math Assessment – August 2008 Revision
46
6.
A man who is 6 feet tall casts a shadow 15 feet long. At exactly the same time, a tree casts
a shadow that is 140 feet long. How tall is the tree?
A.
B.
C.
D.
9.33 feet
23.33 feet
56.00 feet
90.00 feet
Answer: C
G.TR.07.05 Show that two triangles are similar using the criteria: corresponding angles are
congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and
the included angles are congruent (SAS similarity); ratios of all pairs of corresponding
sides are equal (SSS similarity); use these criteria to solve problems and to justify
arguments.
1.
Glenn drew two right triangles. The first triangle has legs that are 3 inches and 4 inches.
The second triangle has legs that are 6 inches and 8 inches. Which of the following
statements about these triangles is true?
A.
B.
C.
D.
The two triangles are congruent.
The two triangles are similar but not congruent.
The two triangles are not similar.
The two triangles may or may not be similar, depending on the length of each
hypotenuse.
Answer: B
2.
Triangle EFG has two sides that are 6 inches long. The length of its third side (x) is
unknown. Triangle JKL has two sides that are 9 inches long. The length of its third side (y)
is unknown.
For the two triangles to be similar, which of the following must be true?
2
y
3
3
B. x = y
2
C. x = 3y
D. x = y
A. x =
Answer: A
Grade 7 Math Assessment – August 2008 Revision
47
3.
Which of the following is always true regarding triangles?
A.
B.
C.
D.
All equilateral triangles are similar.
All right triangles are similar.
All isosceles triangles are similar.
All similar triangles are congruent.
Answer: A
4.
The diagram shows some measurements of triangle ABC and triangle DEF.
For triangle ABC and triangle DEF to be similar, which must be true?
A.
B.
C.
D.
DF = 10 inches
DF = 19 inches
DE = 10 inches
DE = 19 inches
Answer: C
5.
The largest angle in all of the triangles below measures 108°. Which two triangles are
similar to each other?
A.
B.
C.
D.
V and W
W and Z
W and X
V and Z
Answer: D
Grade 7 Math Assessment – August 2008 Revision
48
G.TR.07.06 Understand and use the fact that when two triangles are similar with scale
factor of r, their areas are related by a factor of r2.
1.
Mary’s garden is in the shape of a pentagon with sides 10 feet long. Brad wants a garden
with a similar shape that has an area 4 times larger. How long should he make the sides of
his garden?
A.
B.
C.
D.
14 feet
20 feet
40 feet
50 feet
Answer: B
2.
The scale factor from triangle A to triangle B is 3. The area of triangle A is 12. What is the
area of triangle B?
A.
B.
C.
D.
15
18
36
108
Answer: D
3.
The sides of a triangle are reduced to 1/10 their original length. The area of the reduced
triangle is what fraction of the original area?
1
1000
1
B.
100
1
C.
20
1
D.
10
A.
Answer: B
Grade 7 Math Assessment – August 2008 Revision
49
4.
Triangle ABC is similar to triangle DEF. The length of each side of triangle DEF is 3 times
longer than the lengths of the corresponding sides of triangle ABC. Which statement is
true?
A.
B.
C.
D.
The area of triangle DEF is equal to the area of triangle ABC.
The area of triangle DEF is 3 times larger than the area of triangle ABC.
The area of triangle DEF is 6 times larger than the area of triangle ABC.
The area of triangle DEF is 9 times larger than the area of triangle ABC.
Answer: D
5.
If the Length of each side of a triangle is cut to
1
of its original size, what happens to the
3
area of the triangle?
1
of the original area.
27
1
B. The new area is of the original area.
9
1
C. The new area is of the original area.
6
1
D. The new area is of the original area.
3
A. The new area is
Answer: B
6.
The dimensions of a triangle have been enlarged by a scale factor of r. Its new area is
9 times its original area. What is the value of r?
A.
B.
C.
D.
r=3
r=6
r=9
r = 18
Answer: A
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D.RE.07.01 Represent and interpret data using circle graphs, stem and leaf plots,
histograms, and box-and-whisker plots, and select appropriate representation to address
specific questions. (Unit 6)
1.
5
24
1
B.
4
7
C.
24
3
D.
4
Key
A.
4 | 1 represents 41
Answer: B
2.
The circle graph below shows the student
attendance at the Central Middle School Fall
Festival.
What percent of the students who attended the
Fall Festival were grade 7 girls?
A.
B.
C.
D.
25%
10%
80%
20%
Answer: D
3.
Number of Hits
by High School
Baseball Team’s Players
What fraction of the players had more than 65 hits?
This box-and-whisker plot shows the weight,
in pounds, of players on the football team.
What is the median weight of the football players?
A.
B.
C.
D.
200 pounds
210 pounds
212 pounds
240 pounds
Answer: B
Grade 7 Math Assessment – August 2008 Revision
51
3
7 8
4
0 2 5 5 8
5
1 2 2 3 5 7 8 8
6
2 4 4 7
7
0 2 5
8
3 8
4.
Li Min recorded the number of customers that came to her lemonade stand each day. The
results are displayed in the stem and leaf plot below.
What was the range for the number of customers?
A.
B.
C.
D.
13
25
27
31
Answer: D
5.
Mr. Perez’s and Mr. Lewis’s classes collected data
about how many CDs each student owns. How
many students are in Mr. Perez’s class?
A.
B.
C.
D.
11
28
53
64
Answer: B
6.
Brianna used the table below to record her expenses.
Which of the following is the best way to display this
data?
A.
B.
C.
D.
bar graph
line graph
circle graph
stem-and-leaf plot
Answer: C
7.
Mr. Perez’s and Mr. Lewis’s classes collected data
about how many CDs each student owns. How many
students in Mr. Lewis’s class own 5 CDs?
A.
B.
C.
D.
2
6
8
13
Answer: A
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D.AN.07.02 Create and interpret scatter plots and use an estimated line of best fit to
answer questions about the data. (Unit 6)
1.
The scatter plot below shows the ages and heights
of 11 players on the school football team. Each dot
represents one player.
Ages and Heights of Players
What is the total number of 14-year-olds who are
more than 60 inches tall?
A.
B.
C.
D.
0
2
3
5
Answer: C
2.
The graph below shows the
frequency of test scores on the
algebra final exam. What is the
mode of the algebra final
exam scores?
A.
B.
C.
D.
88
89
93
95
Answer: C
3.
Lynn plays on the basketball team. The graph below shows how many points Lynn scores
in each of the first five games of the season.
Which statement best describes the relationship between
the number of points scored by Lynn in each game and in
the game before?
A. Lynn scores twice as many points each game
as the game before.
B. Lynn scores two more points each game than
she did the game before.
C. Lynn scores three more points each game
than she did the game before.
D. Lynn scores three fewer points each game
than she did the game before.
Answer: C
Grade 7 Math Assessment – August 2008 Revision
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4.
The scatter plot below shows the relationship
between the height and the weight for each of 15
students in Mr. Thompson’s health class.
According to the scatter plot, which is closest to
the height of a student who weighs approximately
115 pounds?
A.
B.
C.
D.
56 inches
59 inches
67 inches
75 inches
Answer: C
5.
Jessica kept a log of the distance she walked each
day and the time it took her to walk that distance.
Below is her walking log for one week.
Which is closest to the amount of time it took
Jessica to walk 1 mile?
A.
B.
C.
D.
12 minutes
18 minutes
30 minutes
36 minutes
Answer: B
D.AN.07.03 Calculate and interpret relative frequencies and cumulative frequencies for
given data sets.
1.
Twenty five families were asked to tell how many newspapers and magazine subscriptions
they currently have. The results of the survey are: 0, 1, 0, 3, 4, 1, 2, 2, 2, 7, 9, 0, 0, 1, 2, 1,
1, 6, 5, 1, 2, 3, 4, 3, 0
Make a frequency table for the data. What is the cumulative frequency of families
subscribing to at least four newspapers and magazines?
A.
B.
C.
D.
2
4
6
25
Answer: C
Grade 7 Math Assessment – August 2008 Revision
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2.
This line plot represents the number of raisins that Janika’s class counted in each of the 20
boxes of cereal. What is the median number of raisins in a box?
A.
B.
C.
D.
27
29
30
31
Answer: C
3.
Daniel asked 100 students in his school’s
cafeteria to name a whole number between 1
and 100. The students’ responses are shown in
the histogram below. What is the relative
frequency of students who named a number
greater than 75?
A.
B.
C.
D.
0.20
0.35
0.75
0.80
Answer: A
4.
Mrs. Lee asked the 25 students in her class to choose
their favorite color. The responses she received are in
the table below.
What is the relative frequency of students who chose
red as their favorite color?
A.
B.
C.
D.
0.25
0.20
0.10
0.05
Answer: B
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5.
Mrs. Johnson’s students rated a book. Scores
could range from 1 to 10. The summary of
scores is given below. What score did students
give most frequently to the book?
A.
B.
C.
D.
7
8
9
10
.
Answer: C
6.
Twenty students took a 10-point quiz. The
scores are summarized in the table below. How
many students had a score greater than 8?
A.
B.
C.
D.
2
3
5
15
Answer: C
7.
Two hundred college students were asked how
many hours of homework they did each night.
Their responses are summarized in the table
below. What percent of students reported
doing 4 or more hours per night?
A.
B.
C.
D.
12.5 %
25.0 %
30.0 %
60.0 %
Answer: C
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D.AN.07.04 Find and interpret the median, quartiles, and interquartile range of a given set
of data.
1.
A study was conducted to determine the effectiveness of a speed limit sign. The speeds of
cars at the 65 mph sign were:
60
70
65
70
74
58
71
88
65
85
Which box-and-whisker plot correctly displays the information?
Answer: D
2.
Students are starting a walking program to improve their health. On the first day, students
walked the following minutes: {32, 15, 54, 1, 38, 7, 40, 6, 39, 30}
Give the interquartile range for this data.
A.
B.
C.
D.
27.5
32
38.5
48
Answer: B
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3.
This box and whisker plot shows the number of miles run in track practice. What is the
range for the data given by the box and whisker plot?
A.
B.
C.
D.
3. 2
4
4.5
5
Answer: C
4.
What is the median of the set of data shown below?
A.
B.
C.
D.
29
31
34
36
Answer: C
5.
Which appears to be the interquartile range for the data used to create the following boxand-whisker plot?
A.
B.
C.
D.
60
80
100
160
Answer: B
6.
The number of yards gained each game during Shannon’s four years on his football team is
displayed in the box-and-whisker plot below.
Which is closest to the interquartile range in yards of the data?
A.
B.
C.
D.
70
50
40
25
Answer: C
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7.
Annika recorded the high temperature in her
city each day during the month of May in
degrees Fahrenheit. Her results are displayed
in the stem-and-leaf plot shown below.
What is the median of this data?
A.
B.
C.
D.
59°F
72°F
76°F
88°F
Answer: C
8.
Robin asked some of the students in her class the amount of time each spent on the
computer Tuesday night. The results are listed below.
What is the median of this set of data?
A.
B.
C.
D.
25
33
35
55
Answer: B
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