Free PSAT Math Practice Test 2024 – 94 Math Test Questions

This page features a prominently placed button at the top, giving you immediate access to the PSAT Math practice test. Right beneath, you will find a carefully crafted practice test, designed specifically for efficient exam preparation. These tests are thoughtfully created to not only showcase your strengths but also to pinpoint areas that need improvement, allowing for a customized and effective study plan.

For those looking to intensify their preparation in specific areas, we have meticulously developed specialized quizzes. Each quiz targets a distinct aspect of the PSAT Math exam, providing a concentrated study experience that is both in-depth and beneficial. This strategy offers a thorough and focused route to mastering the exam.

PSAT Math Domain Exams

The PSAT Math exam, also known as the Math Test, is divided into four main content areas, each covering specific topics and contributing differently to the test’s overall score. 

Here’s a breakdown of the sections:

Domain 1: Algebra

• Number of Questions: 15 
• Topics Covered: Linear equations and systems, inequalities, and basic algebraic manipulations.
• Focus: Emphasis on understanding, solving, and creating linear equations and inequalities.

Domain 2: Advanced Math

• Number of Questions: 14
• Topics Covered: Quadratic and exponential functions, other nonlinear functions.
• Focus: Problem-solving with complex equations and understanding the structure of expressions.

Domain 3: Problem Solving and Data Analysis

• Number of Questions: 9
• Topics Covered: Ratios, proportions, percentages, data interpretation from graphs and tables, unit conversions.
• Focus: Critical thinking and practical application of mathematical skills to interpret and analyze data.

Domain 4: Geometry and Trigonometry

• Number of Questions: 6
• Topics Covered: Geometric shapes, properties, theorems, and trigonometric ratios.
• Focus: Application of geometric and trigonometric concepts to solve problems.

Content Area	# of Questions	Key Topics
Algebra	15 questions	Linear equations, systems, inequalities
Advanced Math	14 questions	Quadratic, exponential, nonlinear functions
Problem Solving and Data Analysis	9 questions	Ratios, proportions, data interpretation
Geometry and Trigonometry	6 questions	Geometric shapes, properties, trigonometry

Important Additional Information:

• Total Questions: 48 questions
• Total Sections: The Math Test is split into two sections: one that allows the use of a calculator (38 questions) and one that does not (10 questions).
• Duration: The test lasts 70 minutes, with 45 minutes for the calculator section and 25 minutes for the no-calculator section.
• Scoring: The Math Test score ranges from 160 to 760, forming part of the total PSAT score.

PSAT Math Exam Breakdown

The PSAT Math Exam is a critical component of the Preliminary SAT/National Merit Scholarship Qualifying Test (PSAT/NMSQT), designed to assess the mathematical skills students are expected to have developed in their education. 

Here’s a breakdown of the Math section of the PSAT:

Structure of the PSAT Math Section

The Math section is divided into two parts:

1. Math Test – Calculator: This portion allows the use of a calculator and includes both multiple-choice questions and student-produced responses, commonly known as “grid-ins.”
2. Math Test – No Calculator: In this shorter segment, calculators are not permitted. It focuses on arithmetic, algebra, and other areas where calculators are typically unnecessary.

Overall, the section comprises 48 questions (40 multiple choice and 8 grid-ins) split between these two parts, with a total time of 70 minutes to complete them​.

Content Areas Covered

The PSAT Math Exam focuses on three main content areas:

• Heart of Algebra: Involves linear equations, inequalities, and systems.
• Problem Solving and Data Analysis: Emphasizes quantitative skills, including working with proportions, percentages, and interpreting data.
• Passport to Advanced Math: Tests understanding of more complex equations and functions.

Additionally, there are questions on geometry and trigonometry, though they make up a smaller portion of the exam.

How to Become PSAT Math Certified

There are several resources and steps you can take to prepare effectively for the PSAT Math section:

1. Registration

• Determine the Date: PSAT/NMSQT is typically offered in October each year. Check with your high school to find out the specific dates it will be administered.
• Sign Up: Registration for the PSAT/NMSQT is not done individually online. Instead, you must register through your high school. If your school does not administer the PSAT/NMSQT, you can check with other local schools that may allow you to register with them.

2. Preparation

• Study Plan: Develop a study plan several months before the test. Include a mix of self-study and formal training, if possible.
• Use Official Practice Tests: Start with the College Board’s official PSAT practice tests to understand the format and type of questions asked, particularly in the Math section.
• Review Key Concepts: Focus on algebra, problem-solving, data analysis, and advanced math concepts. Use resources from Khan Academy, which provides tailored PSAT preparation.
• Practice Regularly: Consistency is key. Regular practice will help solidify the math skills needed for the test.

3. Taking the Test

• Test Day Preparation: Ensure you have all necessary items for the test day, such as your admission ticket, photo ID, No. 2 pencils, and an approved calculator.
• During the Test: Manage your time efficiently and tackle the questions you find easiest first before moving on to more challenging problems.

4. After the Test

• Receiving Scores: Your PSAT/NMSQT scores are typically available online through your College Board account about a month after the test.
• Review and Reflect: Analyze your scores, especially in the Math section, to identify areas of strength and weakness.

5. Further Steps

• Use Scores for Improvement: If you plan to take the SAT, use your PSAT scores as a benchmark to prepare further, focusing on the areas needing improvement.
• Consider Retaking the PSAT: If you’re not in your junior year, you might consider retaking the PSAT for better practice and potentially qualifying for scholarships like the National Merit Scholarship.

Note: There is no “certification” for PSAT Math. The PSAT is primarily a preparatory step for the SAT and a qualifier for scholarships. It’s used to assess readiness and identify areas for improvement before taking the SAT.

Our Experience Teaching PSAT Math Candidates To Pass The Exam

At Career Employer, the development of the PSAT Math practice tests has been a journey marked by significant achievements and valuable lessons. We refined our approach with great care, addressing the wide range of exam topics and meeting the varied needs of our learners.

Every facet of our strategy was meticulously examined with the goal of preparing every student for success on the exam. This commitment is evident in the comprehensive nature and depth of our practice materials, reflecting our dedication to providing an educational experience that is not only thorough but deeply enriching.

Teaching PSAT Math from a lecturer’s perspective involves several key considerations. Firstly, it’s important to focus on the core mathematical skills the PSAT tests, such as algebra, problem-solving, data analysis, and geometry. As a lecturer, the goal is to not only teach these skills but also to help students apply them in the context of the test’s format.

Here are some strategies and resources that can be particularly useful:

1. Structured Lessons: Lessons should be structured around the PSAT’s format, emphasizing different sections on different days. This includes focusing on the specific types of questions that frequently appear on the exam.
2. Practice Tests: Regular practice tests are crucial. They help students familiarize themselves with the timing and pressure of the real exam. The College Board offers official practice tests, which are the most reliable resources for realistic practice.
3. Review Sessions: After practice tests, conducting review sessions where common mistakes and tricky questions are discussed can be very beneficial for student understanding.
4. Interactive Learning: Using interactive tools like Khan Academy, which partners with the College Board to provide free online PSAT prep materials, can make learning more engaging. Lecturers can assign specific modules that align with their teaching schedule.
5. Peer Learning: Encouraging students to work in study groups helps them learn from each other, explaining concepts and solving problems together.
6. Addressing Test Anxiety: As part of the curriculum, it’s helpful to include sessions on test-taking strategies and ways to manage anxiety, which can significantly impact performance.

The PSAT Math certification practice test offered by Career Employer exemplifies our team’s unwavering commitment and deep expertise, renowned for guiding candidates successfully through the PSAT Math exam. The invaluable guidance from our experts has been instrumental in helping over 1000 math graduates excel in the official PSAT Math certification exam.

Our team is composed of distinguished Math educators, each with over ten years of dedicated experience in school Math instruction. This extensive expertise forms the backbone of our effective training program, ensuring that every participant not only comprehends the subject matter thoroughly but also gains confidence in their mathematical abilities.

Effective Study Strategies and Methods 

To effectively prepare for the PSAT Math exam, adopting a structured and comprehensive approach can significantly boost your performance. 

Here are some essential strategies and resources based on the information I gathered:

1. Understanding the Test Format and Content: Familiarize yourself with the types of questions and the format of the PSAT, especially the Math section, which includes topics like algebra, data analysis, and geometry. This foundational knowledge will help in structuring your study sessions efficiently​.
2. Setting Goals and Creating a Study Plan: Define clear, measurable goals for your PSAT score, especially if you’re aiming for scholarships like the National Merit. Set up a realistic study schedule that balances your school work and test preparation, allowing ample time for each topic​.
3. Utilizing Practice Tests: Regularly take practice tests to identify your strengths and weaknesses. This not only familiarizes you with the test format but also helps in refining your time management skills. Review your mistakes to avoid repeating them and to deepen your understanding of challenging concepts.
4. Focused Review and Problem Solving: Use targeted practice to improve specific skills, particularly those where you have identified weaknesses. Resources like Effortless Math provide detailed study guides and practice questions that cover the breadth of PSAT math topics​​.
5. Incorporating Technology and Online Resources: Platforms like Paperclips offer tools for creating flashcards and utilizing spaced repetition, a technique that helps in reinforcing memory through increasing intervals of review, ideal for mastering mathematical formulas and concepts​.
6. Engagement with Online Forums and Educational Platforms: Engage with educational platforms such as Khan Academy or the College Board’s official site, which provide a wealth of PSAT-specific resources, including sample questions and full practice tests. These platforms often offer explanations and tips that are crucial for deeper comprehension and technique refinement​.
7. Healthy Study Habits: Maintain a balanced approach to studying by ensuring you get enough rest, exercise, and nutrition. A healthy body supports a sharp mind, which is essential during both preparation and on the test day​​.

Cost

Item	Cost	Details
Registration Fee	USD 75 yearly	Required each year during the certification process
Component Fees	USD 1,900 total	Four components at USD 475 each
Retake Fees	USD 425 for entire component; USD 125 per section	Cost varies by section or entire component
Study Materials	Variable	Costs depend on chosen resources; some are free like Khan Academy

The costs associated with taking the PSAT Math board certification exam, specifically the National Board Certification in Mathematics for Adolescence and Young Adulthood, involve several components:

1. Registration Fee: There is a USD 75 registration fee required each year during the certification process.
2. Exam Fees: The certification consists of four components, with each costing USD 475. Therefore, the total fee for all components is USD 1,900. These fees can be paid all at once or separately over time.
3. Exam Retake Fees: If you need to retake any part of the exam, the cost varies. Retaking the entire Component 1 costs USD 425, or you can retake sections individually for USD 125 each for the selected-response section or USD 125 per constructed-response exercise.
4. Study and Preparation Costs: While specific study material costs can vary depending on the resources you choose, free preparation resources are available through platforms like Khan Academy for general PSAT prep. There are also specialized study guides and flashcards available for purchase which could aid in preparing for the National Board Certification exams.
5. Additional Potential Costs: Depending on your location and situation, there might be travel expenses for attending the nearest testing center, as well as potential costs for additional study materials or courses.

The certification process allows for payment plans and financial aid which might be available through your state or school district, helping to spread out or reduce the costs​​.

Reliable Study Materials and Resources

For effective PSAT Math preparation, there are several excellent online resources available:

1. Khan Academy: Offers tailored practice for the PSAT through its comprehensive digital SAT course materials, which are closely aligned with the PSAT. This includes videos, articles, and practice problems that cover the same topics and skills as the PSAT, making it a highly useful resource. 
2. Mometrix Test Preparation: Provides an extensive online PSAT prep course that includes over 950 practice questions, more than 450 electronic flashcards, and over 220 instructional videos. This course is designed to cover all topics you’ll encounter on the PSAT and also offers free mobile access to materials. 
3. College Board’s Official Practice: As the administrators of the PSAT, the College Board offers several full-length practice tests through its Bluebook digital testing platform. These tests simulate the actual exam experience and are a reliable gauge of the PSAT format and difficulty. The College Board also offers a test preview that allows you to familiarize yourself with the digital interface. 
4. Test-Guide: Provides a free online PSAT math practice test that mimics the format of the actual exam, offering both multiple-choice and student-produced response questions. This site is particularly useful because it allows you to practice in an untimed environment and provides detailed answer explanations for each question, which can help reinforce learning and identify areas where more study is needed. 
5. Princeton Review: Offers a comprehensive digital PSAT prep course called the “Digital PSAT Essentials.” This course includes 18 hours of live online instruction, exclusive practice tests, and personalized score analysis. It’s designed to improve your chances of scoring high enough on the PSAT to qualify for the National Merit Scholarship. The course also comes with a money-back guarantee if your score does not improve. 
6. Union Test Prep: Provides free PSAT practice tests and a detailed breakdown of the exam sections, including the types of questions and the scoring system. Their resources are great for understanding the test format and getting practice with questions that mirror those you’ll encounter on the actual test. 
7. Fiveable: Offers an in-depth guide to the PSAT Math section, explaining different types of math problems, such as systems of equations, linear functions, and problem-solving with data analysis. This resource is ideal for students who want a thorough review of the key math topics covered on the PSAT. 

These resources provide a variety of study tools, including practice tests, instructional videos, and detailed explanations, to help you effectively prepare for the PSAT Math section.

Tips for Exam Day

For the PSAT Math section, a blend of solid preparation and effective test-day strategies can make a significant difference. Here are some comprehensive tips to help you excel:

1. Understand the Test Format: Familiarize yourself with the PSAT structure, especially the Math sections, both with and without a calculator. Knowing the test format can reduce anxiety and improve your time management during the exam​​.
2. Practice with Real Questions: Use official PSAT practice materials to get accustomed to the types of questions you’ll encounter. Drilling with these questions will build your confidence and proficiency​​.
3. Review Key Math Concepts: Ensure you have a strong grasp of algebra, geometry, and other math fundamentals. Regularly review the formulas provided in the test booklet and practice applying them to solve problems​​.
4. Get Comfortable with Your Calculator: Make sure your calculator is approved for the test and you are familiar with its functions. This will save precious time during the exam​​.
5. Sleep and Nutrition: Do not underestimate the power of a good night’s sleep before the test day. Being well-rested helps with focus and performance. On the morning of the test, eat a healthy breakfast that includes proteins and complex carbohydrates to maintain energy levels throughout the exam​.
6. Strategic Guessing: There’s no penalty for wrong answers on the PSAT, so make sure to answer every question. First, tackle the questions you know, then make educated guesses on the tougher ones by eliminating obviously wrong answers​​.
7. On Test Day: Bring all necessary items, like your calculator, ID, snacks, water, and any required documentation. Keep a watch to manage your time effectively during the test and stay as calm as possible.
8. Post-Exam: After the test, review how you did and start preparing for future standardized tests like the SAT based on your PSAT experience. Reflect on what strategies worked best for you and where you could improve​.

These strategies combine preparation and practical test-day tactics, focusing on both knowledge and test-taking skills. Remember, consistent practice and a positive mindset are key to performing well on the PSAT Math section.

Post-Exam: Next Steps

After completing the PSAT Math exam, it’s important to use the post-exam period effectively to set up for future success. 

Here are some strategic steps you can take:

1. Reflect on Your Performance: Utilize post-exam reflection worksheets to assess how you approached the exam, identify areas of strength and weakness, and develop a strategy for improvement. This kind of self-assessment helps in understanding how to better prepare for future tests by reflecting on your study habits and test-taking strategies.
2. Review Your Scores: Once your scores are available, typically 4–6 weeks after the test, analyze them to understand your performance in different areas. The score report will provide detailed insights into your skills and can serve as a guide for where you need additional practice or help.
3. Seek Additional Resources: Consider resources like tutoring or practice exams to enhance your understanding of the material. Websites like Revolution Prep offer free practice exams in various subjects and provide detailed score reports. They also offer sessions with academic advisors who can help interpret your results and suggest focused study strategies.
4. Plan for Future Exams: Based on your scores and the feedback from any assessments or tutoring sessions, set up a study plan that targets your weak points. Regular practice and revision of key concepts can improve your confidence and performance in future standardized tests.
5. Engage in Further Learning: If you’re planning to take the SAT or other related tests, use your PSAT experience as a stepping stone. The PSAT is designed to prepare you for the SAT, so take advantage of the practice and exposure to the testing format and question types.

References

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8. “7 Best PSAT Math Study Guides.” Effortless Math. Available at: https://www.effortlessmath.com/blog/7-best-psat-math-study-guides/
9. “Complete PSAT Math Section Guide.” Fiveable. Available at: https://fiveable.me/guides/psat-complete-math-section
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17. Princeton Review. Available at: https://www.princetonreview.com/
18. Union Test Prep. Available at: https://www.uniontestprep.com/
19. Fiveable. Available at: https://fiveable.me/
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21. “Last Minute PSAT Cramming Tips.” PrepScholar. Available at: https://blog.prepscholar.com/last-minute-psat-cramming-tips
22. “PSAT Tips.” PrepMaven. Available at: https://prepmaven.com/blog/test-prep/psat-tips/
23. “Why is the Math PSAT So Easy?” Reddit. Available at: https://www.reddit.com/r/psat/comments/173clfi/why_is_the_math_psat_so_easy/
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27. “AP Exam Prep Practice Exams.” Revolution Prep. Available at: https://www.revolutionprep.com/ap-exam-prep/practice-exams
28. “Is the Digital PSAT Practice Deceptively Easy?” Reddit. Available at: https://www.reddit.com/r/psat/comments/16yb941/is_the_digital_psat_practice_deceptively_easy/
29. “Digital PSAT – Prep Tips.” YouTube, uploaded by The Princeton Review. Available at: https://www.youtube.com/watch?v=49eT5i5O0so