735 Texas PACT
Mathematics Grades 7-12
,USING THIS GUIDE:
This guide is intended to provide you with an understanding of the content that is tested in the associated
PACT Test. The guide includes:
• A diagnostic evaluation of concepts included in the subject area test
• An explanation of why specific answers are correct or incorrect
• An opportunity for you to identify areas in which you need more information to be successful
How should you use the guide?
Take the diagnostic test and use the answer key after to determine how successful you were.
Review the study guide for each competency and seek outside resources for more information.
SimpleK12, The Learning Liaisons, Khan Academy, and Study.com have great resources for further
study.
© 2024 Teachers of Tomorrow. All rights reserved. 1 www.teachersoftomorrow.org
, 735 TX PACT Mathematics Grades 7–12 Diagnostic Test
Domain 1 Competency 001
1.
A car drives at a constant speed of 50 miles per hour. If it starts at 8:00 AM, at what
time will it reach a destination 200 miles away? Which of the following strategies
would be the most appropriate for solving this problem?
a. Add 50 miles to 200 and divide by 2
b. Divide 200 by 50 to find the hours needed, then add to the starting time
c. Multiply 50 by 200 and divide by 60 to get the minutes
d. Subtract 50 from 200, then add the result to the start time
2. You are asked to estimate the number of tiles needed to cover a rectangular kitchen
floor with dimensions approximately 10 feet by 12 feet, using tiles that are 1 square
foot each. Which is the best estimate?
a. 20 tiles
b. 100 tiles
c. 120 tiles
d. 144 tiles
3. Maria buys a laptop priced at $800 with a 15% discount. How much does she pay
after the discount?
a. $120
b. $680
c. $700
d. $720
4. A recipe calls for 4 cups of flour to 6 cups of sugar. If you only have 3 cups of flour,
how much sugar should you use to maintain the proportion?
a. 4.5 cups
b. 6 cups
c. 7.5 cups
d. 9 cups
© 2024 Teachers of Tomorrow. All rights reserved. 2 www.teachersoftomorrow.org
, Domain 1 Competency 002
5. Given the word problem: "A company makes $5 for each product sold and has fixed costs of
$200," which of the following equations represents the company's total earnings E for
selling x products?
a. E = 5 + 200x
b. E = 200x + 5
c. E = 5x − 200
d. E = 5x + 200
6. Which of the following statements is an example of deductive reasoning?
If a number is prime, then it has exactly two divisors. Since 17 is prime, it has exactly
a.
two divisors.
b. The last four times I rolled a die, I got a 6. Therefore, I will roll a 6 on my next roll.
Every person I know who exercises regularly is healthy, so exercising must make
c.
everyone healthy.
The average temperature has been rising each year, so next year will be hotter than
d.
this year.
7. Which of the following statements is the contrapositive of "If it rains, then the ground will
be wet"?
a. If it does not rain, then the ground will be wet.
b. If the ground is wet, then it rained.
c. If the ground is not wet, then it did not rain.
d. If it rains, the ground will not be wet.
© 2024 Teachers of Tomorrow. All rights reserved. 3 www.teachersoftomorrow.org
Mathematics Grades 7-12
,USING THIS GUIDE:
This guide is intended to provide you with an understanding of the content that is tested in the associated
PACT Test. The guide includes:
• A diagnostic evaluation of concepts included in the subject area test
• An explanation of why specific answers are correct or incorrect
• An opportunity for you to identify areas in which you need more information to be successful
How should you use the guide?
Take the diagnostic test and use the answer key after to determine how successful you were.
Review the study guide for each competency and seek outside resources for more information.
SimpleK12, The Learning Liaisons, Khan Academy, and Study.com have great resources for further
study.
© 2024 Teachers of Tomorrow. All rights reserved. 1 www.teachersoftomorrow.org
, 735 TX PACT Mathematics Grades 7–12 Diagnostic Test
Domain 1 Competency 001
1.
A car drives at a constant speed of 50 miles per hour. If it starts at 8:00 AM, at what
time will it reach a destination 200 miles away? Which of the following strategies
would be the most appropriate for solving this problem?
a. Add 50 miles to 200 and divide by 2
b. Divide 200 by 50 to find the hours needed, then add to the starting time
c. Multiply 50 by 200 and divide by 60 to get the minutes
d. Subtract 50 from 200, then add the result to the start time
2. You are asked to estimate the number of tiles needed to cover a rectangular kitchen
floor with dimensions approximately 10 feet by 12 feet, using tiles that are 1 square
foot each. Which is the best estimate?
a. 20 tiles
b. 100 tiles
c. 120 tiles
d. 144 tiles
3. Maria buys a laptop priced at $800 with a 15% discount. How much does she pay
after the discount?
a. $120
b. $680
c. $700
d. $720
4. A recipe calls for 4 cups of flour to 6 cups of sugar. If you only have 3 cups of flour,
how much sugar should you use to maintain the proportion?
a. 4.5 cups
b. 6 cups
c. 7.5 cups
d. 9 cups
© 2024 Teachers of Tomorrow. All rights reserved. 2 www.teachersoftomorrow.org
, Domain 1 Competency 002
5. Given the word problem: "A company makes $5 for each product sold and has fixed costs of
$200," which of the following equations represents the company's total earnings E for
selling x products?
a. E = 5 + 200x
b. E = 200x + 5
c. E = 5x − 200
d. E = 5x + 200
6. Which of the following statements is an example of deductive reasoning?
If a number is prime, then it has exactly two divisors. Since 17 is prime, it has exactly
a.
two divisors.
b. The last four times I rolled a die, I got a 6. Therefore, I will roll a 6 on my next roll.
Every person I know who exercises regularly is healthy, so exercising must make
c.
everyone healthy.
The average temperature has been rising each year, so next year will be hotter than
d.
this year.
7. Which of the following statements is the contrapositive of "If it rains, then the ground will
be wet"?
a. If it does not rain, then the ground will be wet.
b. If the ground is wet, then it rained.
c. If the ground is not wet, then it did not rain.
d. If it rains, the ground will not be wet.
© 2024 Teachers of Tomorrow. All rights reserved. 3 www.teachersoftomorrow.org
