STAAR

State of Texas
Assessments of
Academic Readiness

GRADE 7
Mathematics

Administered May 2022

RELEASED

Copyright © 2022, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express
written permission from the Texas Education Agency.
STAAR GRADE 7 MATHEMATICS STAAR
®

REFERENCE MATERIALS
State of Texas
Assessments of
Academic Readiness

Inches
0
LINEAR EQUATIONS

Slope-intercept form y = mx + b

1
Constant of proportionality k =
x

CIRCUMFERENCE

Circle C = 2 r or C = d

2
AREA

Triangle A = 1 bh
2

3
Rectangle or parallelogram A = bh

Trapezoid A = 1 (b1 + b2)h

2

4
Circle A= r2

VOLUME

Prism V = Bh

5
Pyramid V = 1 Bh
3

ADDITIONAL INFORMATION 6

3.14 or 22
Pi
7

Distance d = rt
7

Simple interest I = P rt

Compound interest A = P (1 + r )t
8
 STAAR GRADE 7 MATHEMATICS
REFERENCE MATERIALS
20

LENGTH
19

Customary Metric
18

1 mile (mi) = 1,760 yards (yd) 1 kilometer (km) = 1,000 meters (m)
1 yard (yd) = 3 feet (ft) 1 meter (m) = 100 centimeters (cm)
17

1 foot (ft) = 12 inches (in.) 1 centimeter (cm) = 10 millimeters (mm)

16

VOLUME AND CAPACITY

15
14

Customary Metric

1 gallon (gal) = 4 quarts (qt) 1 liter (L) = 1,000 milliliters (mL)

13

1 quart (qt) = 2 pints (pt)

12

1 pint (pt) = 2 cups (c)

1 cup (c) = 8 ”uid ounces (” oz)

11
10

WEIGHT AND MASS

9

Customary Metric

1 ton (T) = 2,000 pounds (lb) 1 kilogram (kg) = 1,000 grams (g)
8

1 pound (lb) = 16 ounces (oz) 1 gram (g) = 1,000 milligrams (mg)

7
6
5
4
3
2
Centimeters
1
0
 MATHEMATICS

Mathematics
Page 7
DIRECTIONS

Read each question carefully. For a multiple-choice question,

determine the best answer to the question from the four answer
choices provided. For a griddable question, determine the best answer
to the question. Then fill in the answer on your answer document.

34430_3
1 The length of a ruler is 12 inches. There are approximately
25.4 millimeters in 1 inch.

Which measurement is closest to the length of the ruler in

millimeters?

A 3,048 mm

B 30.48 mm

C 304.8 mm

D 3.048 mm

Mathematics
Page 8
 34393_4
2 The table shows the numbers of bags of different flavors of potato
chips on a store shelf. A customer will randomly select one bag of
potato chips from the shelf.

Potato Chips

Flavor Number of Bags

Plain 12
Jalapeño 18
Ranch 8
Cheese 20

Which statement about the flavor of the potato chips chosen is best
supported by the information in the table?

F The flavor is least likely to be plain.

G The flavor is twice as likely to be jalapeño as ranch.

H The flavor is equally likely to be plain, jalapeño, ranch, or

cheese.

J The flavor is more than twice as likely to be cheese as it is to be

ranch.

Mathematics
Page 9
 33528_1
3 Nicole had a collection of 60 stuffed animals. She gave away
5 stuffed animals per month until all her stuffed animals were
gone.

Which graph best represents this situation?

Stu”ed Animal Collection
y

780

Number of Stu”ed Animals

Stu”ed Animal Collection 720
y 660
600
Stu”ed Animals

60
540
Number of

50
480
40
A 30
C 420
360
20
300
10
x 240
0 2 4 6 8 10 12 180
Number of Months 120
60
x
0 2 4 6 8 10 12
Number of Months

Stu”ed Animal Collection

y
Stu”ed Animal Collection
y 600
540
Stu”ed Animals

140
Stu”ed Animals

480
120
Number of
Number of

420
100
360
B 80 D 300
60
240
40
180
20
120
x
0 2 4 6 8 10 12 60
Number of Months x
0 2 4 6 8 10 12
Number of Months

Mathematics
Page 10
 33822_3
4 This figure is composed of a parallelogram and a trapezoid.

26 cm
32 cm
16 cm

40 cm

What is the area of the figure in square centimeters?

F 1,056 cm 2

2
G 1,360 cm

2
H 944 cm

2
J 528 cm

34282_2
5 Triangle QRS and its dimensions are shown.

12 cm
6 cm

Q R
15 cm

Which measurements in centimeters represent the dimensions of a

triangle that is similar to triangle QRS?

A 8 cm, 14 cm, 17 cm

B 10 cm, 20 cm, 25 cm

C 4 cm, 10 cm, 13 cm

D 12 cm, 24 cm, 36 cm

Mathematics
Page 11
 33777_2

6 Which equation is true when x = 4?

F 3x + 4 = 8

G 5x 2 = 18

H 2x + 8 = 40

J 4x + 4 = 12

33586_4
7 The dimensions of a rectangular pyramid are shown in the diagram.

6 mm

5 mm

4 mm

What is the volume of the rectangular pyramid in cubic millimeters?

3
A 15 mm

3
B 120 mm

3
C 60 mm

3
D 40 mm

Mathematics
Page 12
 34048_2
8 Imani compared the number of fluid ounces per bottle of sunscreen
to the cost of four different brands of sunscreen. The information
she gathered is shown in the table.

Sunscreen Comparison

Brand Number of Fluid Ounces per Bottle Cost

W 20 $12.00

X 15 $11.25

Y 10 $6.50

Z 5 $2.50

Based on the data in the table, which brand of sunscreen has the
greatest cost per fluid ounce?

F Brand W

G Brand X

H Brand Y

J Brand Z

Mathematics
Page 13
 34063_3

9 Chad will have new carpet put on the rectangular floors of two

rooms in his house. One floor is 12 _1 feet long, and the other floor
2
3 feet long. Each floor has a width of 10 feet.
is 15 _
4
What is the total area in square feet of the new carpet?

2
A 125 ft

2
B 157.5 ft

2
C 282.5 ft

2
D 96.5 ft

33847_4
10 A scientist measured the weights of squirrels in two populations.
The dot plots display data from each population.

Population 1 Population 2

11 12 13 14 15 16 17 18 19 20 11 12 13 14 15 16 17 18 19 20
Squirrel Weight (ounces) Squirrel Weight (ounces)

Which statement is best supported by the information in the dot

plots?

F The two populations have different mode weights.

G The two populations have different median weights.

H The data for the two populations have different skews.

J The data for the two populations have different ranges.

Mathematics
Page 14
 33629_3
11 A survey was conducted to determine the types of occupations of
the 1,200 residents of a town. The types of occupations are shown
in the circle graph.

Occupations

Retail Industry
25% 25%

Education Government
15%
Other
30%

Based on the circle graph, how many more residents have an

occupation in industry than have an occupation in government?

A 20

B 360

C 240

D 300

34400

12 One year on Venus is equivalent to 224.7 days on Earth. How many

1 years on
days on Earth, in decimal form, are equivalent to 9 _
2
Venus?

Record your answer and fill in the bubbles on your answer

document. Be sure to use the correct place value.

Mathematics
Page 15
 34015_3
13 Use the ruler provided to measure the dimensions of the circle to
the nearest centimeter.

Which measurement is closest to the circumference of the circle in

centimeters?

A 154 cm

B 11 cm

C 22 cm

D 38 cm

Mathematics
Page 16
 34396_1
14 A bookstore offered mystery bags each containing 12 books. The
quantity of each type of book was the same in each mystery bag. A
shopper bought 3 mystery bags and found that 6 books were spy
novels.

Based on this information, which prediction can the shopper make

about buying mystery bags in the future?

F There will be 4 more spy novels in 8 bags than in 6 bags.

G There will be 2 more spy novels in 6 bags than in 4 bags.

H There will be 1 more spy novel in 9 bags than in 8 bags.

J There will be 6 more spy novels in 10 bags than in 8 bags.

Mathematics
Page 17
 33703_3
15 A dog eats 1.25 cups of dog food twice a day. Which graph best
represents this relationship?

Dog Food Eaten Dog Food Eaten

y y

5 5

Number of Cups
Number of Cups

4 4

3 3
A C
2 2

1 1

x x
0 1 2 3 4 5 0 1 2 3 4 5
Number of Days Number of Days

Dog Food Eaten Dog Food Eaten

y y

5 5
Number of Cups

4 Number of Cups 4

B 3 D 3

2 2

1 1

x x
0 1 2 3 4 5 0 1 2 3 4 5
Number of Days Number of Days

Mathematics
Page 18
 34390_2
16 The table shows the numbers of different colors of pencils in a
pencil case. A student will randomly select one pencil from the
pencil case.

Colored Pencils

Color Number of Pencils

Red 2
Purple 8
Blue 4
Green 5

Based on the information in the table, which statement is true?

F The pencil is least likely to be blue.

G The pencil is 4 times as likely to be purple as it is to be red.

H The pencil is equally likely to be blue or green.

J The pencil is more likely to be purple than all other colors

combined.

34118_4

17 Which number line represents the solution to the inequality

3x 8 7?

A ”10 ”8 ”6 ”4 ”2 0 2 4 6 8 10

B ”10 ”8 ”6 ”4 ”2 0 2 4 6 8 10

C ”10 ”8 ”6 ”4 ”2 0 2 4 6 8 10

D ”10 ”8 ”6 ”4 ”2 0 2 4 6 8 10

Mathematics
Page 19
 33619_2
18 Angle F and angle H are supplementary angles.

• The measure of angle F is 77°.

• The measure of angle H is (5x + 18)°.

Which equation can be used to find the value of x?

F 77 = 5x + 18

G 77 + (5x + 18) = 180

H 77 + (5x + 18) = 90

J 77 + (5x + 18) = 360

Mathematics
Page 20
 34422_4
19 A spinner with 6 equal sections is shown.

1
6 2

5 3

What is the probability of spinning a number greater than 4?

1
A _
6

2
B _
3

1
C _
2

1
D _
3

Mathematics
Page 21
 33531_3
20 Which equation represents the linear relationship between the
x-values and the y-values in the table?

x y

1 11
1 1

3 13
5 25

F y = 2x + 12

G y = 5x 6

H y = 6x 5

J y = x 11

Mathematics
Page 22
 33824_4
21 A sidewalk in the shape of two triangles, a rectangle, and a square
was built around the edge of a building as shown.

18 ft

6 ft

6 ft

30 ft

What is the area of the sidewalk in square feet?

A 108 ft 2

2
B 162 ft

2
C 144 ft

2
D 180 ft

34292
22 The price of a computer is $899.00. The sales tax rate is 7%. What
is the sales tax on this computer in dollars and cents?

Record your answer and fill in the bubbles on your answer

document. Be sure to use the correct place value.

Mathematics
Page 23
 33712_4
23 An online game increases in number of users at a rate of 500 users
each day. Which graph best represents the relationship between y,
the number of users, and x, the number of days?
Online Game Users
Total Number of Users y Online Game Users
y

Total Number of Users

4
2,000
3
1,500
A 2 C
1,000
1
500
x
0 x
0

0 1 2 3 4
50

00

50

00
1,

1,

2,

Time (days)
Time (days)

Online Game Users Online Game Users

y y
Total Number of Users

Total Number of Users

1,000 4,000

750 3,000
B 500
D
2,000

250 1,000

x x
0 0 2 4 6 8
10

20

30

40

Time (days) Time (days)

Mathematics
Page 24
 34016_1
24 The radius of circle S is half the radius of circle L. The radius of
circle L is 8 millimeters.

Which measurement is closest to the area of circle S in square

millimeters?

F 50.24 mm 2

2
G 25.12 mm

2
H 200.96 mm

2
J 12.56 mm

33748_2
25 Which situation is best represented by the following equation?

68.50x + 127.95 = 675.95

A An office manager paid $675.95 to build a web site. The office

manager bought a software package for $68.50 and paid an
employee $127.95 for each hour she worked on the website.
What is x, the number of hours the employee worked on the
website?

B An office manager paid $675.95 for computer equipment. The

office manager bought one monitor for $127.95 and hard drives
for $68.50 each. What is x, the number of hard drives the office
manager bought?

C A sales manager paid $675.95 for advertising. The sales

manager paid $127.95 per hour for consulting and received a
$68.50 discount. What is x, the number of hours the manager
paid for consulting?

D A business owner paid a total of $675.95 for two employees to

work the same number of days. The business owner paid one
employee $68.50. The business paid a second employee
$127.95 per day. What is x, the number of days the employees
worked?

Mathematics
Page 25
 34055_4
26 Regina has three number cubes. The faces of each number cube
are numbered from 1 to 6. Regina will roll each number cube one
time.

What is the probability that all three number cubes will land on an
odd number?

1
F _
2

1
G _
6

1
H _
3

1
J _
8

33544_1
27 What is the solution set for this inequality?

1 ≤ 17
5d + 5 _
2

A d 2_3
10

B d ≤ 2_3
10

C d ≤ 1
4_
2

D d 1
4_
2

Mathematics
Page 26
 33829_1
28 The net of a triangular prism and its approximate dimensions are
shown in the diagram.

4 in.

12 in.

12 in.
10.4 in.
12 in.

12 in.

Which measurement is closest to the total surface area of the

triangular prism in square inches?

F 268.8 in.2

G 432 in.2

H 288 in.2

J 393.6 in.2

Mathematics
Page 27
 34186_3
29 The manager of a coffee shop recorded the number of customers
who put vanilla creamer or chocolate creamer in their coffee during
one hour and classified them by age. The results are shown in the
table.

”o ee ”reamer

Vanilla ”hocolate

Age 18 30 2 6

Age 31+ 4 8

What percentage of these customers put chocolate creamer in their

coffee during this hour?

A 30%

B 14%

C 70%

D 75%

33419
30 An engineer created a scale drawing of a building using a scale in
which 0.25 inch represents 2 feet. The length of the actual building
is 250 feet.

What is the length in inches of the building in the scale drawing?

Record your answer and fill in the bubbles on your answer

document. Be sure to use the correct place value.

Mathematics
Page 28
 34311_3
31 The box plots summarize the number of semester hours students
enrolled in a university and a community college completed during
the fall semester.

Fall Semester

University

Community college

2 4 6 8 10 12 14 16 18
Number of Semester Hours

Which statement is best supported by the data in the box plots?

A The median of the data for the university is greater than the
median of the data for the community college.

B The range of the data for the university is greater than the
range of the data for the community college.

C The interquartile range of the data for the community college is

greater than the interquartile range of the data for the
university.

D The third quartile of the data for the community college is

greater than the third quartile of the data for the university.

33855_1
32 Alice has a loan of $24,820. This loan has a simple interest rate
of 3.5% per year. No payments will be made on the loan until the
end of one year.

How much interest will Alice pay on this loan at the end of one
year?

F $868.70

G $72.39

H $8,687.00

J $25,688.70

Mathematics
Page 29
 34387_3
33 A student has a set of cards. Each card has a picture of one shape.
The table shows the number of cards that have a picture of each
shape. The student will randomly select one card from the set.

Shape Cards

Shape Number of Cards

Circle 8
Pentagon 12
Rectangle 10
Square 6
Triangle 4

Which statement is true?

5,
A The probability of selecting a card with a picture of a circle is _
8
and the probability of selecting a card that is not a picture of a
3.
circle is _
8

3,
B The probability of selecting a card with a picture of a circle is _
8
and the probability of selecting a card that is not a picture of a
5.
circle is _
8

1,
C The probability of selecting a card with a picture of a circle is _
5
and the probability of selecting a card that is not a picture of a
4.
circle is _
5

4,
D The probability of selecting a card with a picture of a circle is _
5
and the probability of selecting a card that is not a picture of a
1.
circle is _
5

Mathematics
Page 30
 33737_2
34 The model represents an equation.

x x x 1 1 1 1 1 1 1

x x 1 1 1 1 1 1 1

What is the solution for the equation?

14
F x = _
5

6
G x = _
5

5
H x = _
4

15
J x = _
4

34382
35 A survey showed that 8 out of 20 homeowners in a neighborhood
had cable television. If there were 320 homeowners in the
neighborhood, how many could be expected to have cable
television?

Record your answer and fill in the bubbles on your answer

document. Be sure to use the correct place value.

Mathematics
Page 31
 34354_1
36 Students were surveyed to determine their favorite types of
animals. The bar graph shows the number of students who selected
each type of animal.

Favorite Animals

Fish
Type of Animal

Lizard

Bird

Dog

Cat

0 2 4 6 8 10
Number of Students

What percentage of the students surveyed selected “Bird” as their

favorite type of animal?

F 20%

G 5%

H 6%

J 80%

Mathematics
Page 32
 33535_2
37 A principal has given a class $75 to help pay for a field trip to a
zoo. The students in the class are selling pies for $5 each to earn
the rest of the money they need. The field trip will cost a total of
$386.

Which inequality can be used to find p, the number of pies the

class needs to sell in order to earn enough money to pay for the
field trip?

A 5p + 75 ≤ 386

B 5p + 75 386

C 75p + 5 386

D 75p + 5 ≤ 386

34475_4
38 The dimensions of a rectangular prism are 1.5 feet by 3.5 feet by
2 feet. What is the volume of the rectangular prism in cubic feet?

3
F 7 ft

3
G 7.25 ft

3
H 8.5 ft

3
J 10.5 ft

Mathematics
Page 33
 34304_1
39 The circumference of a circle is C inches. The diameter of the circle
is 19 inches.

Which expression best represents the value of π?

C
A _
19

19
B _
C

C _C
9.5

9.5
D _
C

Mathematics
Page 34
 33854_1
40 A monthly budget for a small family is shown.

Family Budget

Item Amount
Mortgage payment $800
Food $600
Transportation $360
Childcare $540
Health insurance $750
Miscellaneous $580

Which equation can be used to find b, the minimum amount of

money the family must earn annually in order to meet this budget?

F b = $3,630 × 12

G b = $3,630 × 52

H b = $43,560 ÷ 52

J b = $43,560 ÷ 365

Mathematics BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS

Page 35 ON THE ANSWER DOCUMENT.
5

STAAR
GRADE 7
Mathematics
May 2022