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College Readiness · PSAT 8/9 · PSAT 10 · PSAT/NMSQT

PSAT Practice Test

Build PSAT readiness with original Reading and Writing and Math questions for PSAT 8/9, PSAT 10, and PSAT/NMSQT.

PSAT practice sets

This page combines PSAT 8/9, PSAT 10, and PSAT/NMSQT preparation in one focused hub. It provides five short practice sets with 10 original questions each, covering Reading and Writing, Math, data analysis, problem solving, and digital test strategy.

Skills covered

  • Reading and Writing — Information and Ideas, Craft and Structure, Standard English Conventions, and Expression of Ideas
  • Math — algebra, advanced math, problem solving, data analysis, geometry, and trigonometry
  • Evidence — passages, tables, graphs, cross-text connections, and cautious conclusions
  • Digital test strategy — modules, Bluebook, calculator use, timed practice, error analysis, and targeted review

PSAT 8/9, PSAT 10, and PSAT/NMSQT format

Current College Board materials describe the digital PSAT Suite as two sections: Reading and Writing and Math. Each section is divided into two timed modules. The tests are administered digitally through Bluebook, and current testing rules, timing, devices, calculators, and accommodations must be checked before test day.

How to use this page

Start with one untimed set to identify skills, then use timed sets to build pacing. Review every explanation, record the skill behind each missed answer, and solve a new original problem before moving on.

These questions are original supplemental practice. They are not official College Board questions, Bluebook content, a score calculator, a National Merit selection tool, or a substitute for current College Board rules and resources.

For current scope and preparation, check the PSAT 10 overview, the PSAT 8/9 guide, the PSAT/NMSQT Reading and Writing overview, the official practice tests, and the current PSAT/NMSQT testing rules.

For more study options, visit College Readiness Tests or explore High School Tests, High School Course Tests, and Pomodoro.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

3. Test

PSAT Practice Questions

A 10-question PSAT Suite practice set on psat math: algebra and advanced math, with answers and explanations.

Read the passage, data, equation, or testing scenario carefully. Choose the best answer and review the explanation after each response.

10 Questions
0/100%
Reading settings
Reading settings
Text size
18px
Line spacing
1.70
C 0I 0U 10
1. QuestionMultiple choice

Solve: 3x + 5 = 20.

Please select an answer first.

Correct answer: A

The correct answer is x = 5.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Subtract 5 to get 3x = 15, then divide by 3.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Subtract 5 to get 3x = 15, then divide by 3.

2. QuestionMultiple choice

If y = 2x + 1, what is y when x = 4?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Substitute x = 4: y = 2(4) + 1 = 9.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Substitute x = 4: y = 2(4) + 1 = 9.

3. QuestionMultiple choice

What is the slope of the line through (2, 3) and (6, 11)?

Please select an answer first.

Correct answer: C

The correct answer is 2.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Slope is (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Slope is (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.

4. QuestionMultiple choice

A jacket priced at $80 is discounted by 25%. What is the sale price?

Please select an answer first.

Correct answer: D

The correct answer is $60.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: The discount is 0.25 × 80 = 20, so the sale price is 80 − 20 = 60.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

The discount is 0.25 × 80 = 20, so the sale price is 80 − 20 = 60.

5. QuestionMultiple choice

What are the solutions to x² − 9 = 0?

Please select an answer first.

Correct answer: A

The correct answer is x = 3 and x = −3.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Set x² = 9, so x = ±3.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Set x² = 9, so x = ±3.

6. QuestionMultiple choice

If f(x) = x² + 2x, what is f(3)?

Please select an answer first.

Correct answer: B

The correct answer is 15.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Evaluate 3² + 2(3) = 9 + 6 = 15.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Evaluate 3² + 2(3) = 9 + 6 = 15.

7. QuestionMultiple choice

A system has x + y = 10 and x − y = 2. What is x?

Please select an answer first.

Correct answer: C

The correct answer is 6.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Add the equations to get 2x = 12, so x = 6.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Add the equations to get 2x = 12, so x = 6.

8. QuestionMultiple choice

A population grows from 500 to 575. What is the percent increase?

Please select an answer first.

Correct answer: D

The correct answer is 15 percent.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: The increase is 75, and 75 ÷ 500 = 0.15 or 15 percent.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

The increase is 75, and 75 ÷ 500 = 0.15 or 15 percent.

9. QuestionMultiple choice

Which expression is equivalent to 4(x + 3)?

Please select an answer first.

Correct answer: A

The correct answer is 4x + 12.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Distribute 4 to both terms: 4x + 12.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Distribute 4 to both terms: 4x + 12.

10. QuestionMultiple choice

The equation 2x + 7 = 2x + 7 has how many solutions?

Please select an answer first.

Correct answer: B

The correct answer is Infinitely many.

  1. Read the task: Identify the passage evidence, grammar relationship, mathematical quantity, or data display the PSAT Suite question asks you to use.
  2. Apply the skill: Subtracting 2x leaves 7 = 7, an identity true for every x.
  3. Check the response: Make sure the answer is supported by the text, calculation, graph, table, or stated testing context.

Subtracting 2x leaves 7 = 7, an identity true for every x.

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College Readiness Tests

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SAT Practice

Review SAT Reading and Writing and Math skills.

ACT Practice

Practice ACT English, math, reading, and mixed review.

High School Tests

Review high school grade-level practice.

Pomodoro Timer

Use focused study intervals for PSAT preparation.

Frequently asked questions about PSAT Practice Tests

Which exams are included in this PSAT practice page?

This hub supports PSAT 8/9, PSAT 10, and PSAT/NMSQT preparation through shared Reading and Writing and Math skills.

How is the digital PSAT Suite organized?

Current College Board materials describe two sections, Reading and Writing and Math, with two timed modules in each section.

Can I use a calculator on PSAT Math?

College Board materials allow calculator use throughout Math, but students should check the current testing rules and approved-device policy.

Are these official College Board questions?

No. These are original supplemental practice questions. Use Bluebook and College Board resources for official practice and current rules.

Should PSAT 8/9, PSAT 10, and PSAT/NMSQT have separate pages?

They can share this hub when the search intent and format overlap; separate pages should be created only when each has enough distinct, high-quality content.