PSAT/NMSQT Math Practice Questions

Publisher’s Note
How to Use This Book
Study Plan
3-Month Study Plan
|6-Month Study Plan

Chapter 1 What the PSAT/NMSQT® Is All About

Quick Glance at the PSAT/NMSQT
How the Adaptive Format Works
A Smarter Digital Testing Experience
Discrete Questions and Embedded Pretesting
A Quick Look at the Two Sections
How PSAT/NMSQT Scoring Works
How Scores Are Determined
Your Score Report
Selection Index and National Merit Scholarship
Approximate Raw Score Conversion Table
How Many Questions Are on the Test?
Timing by Section and Module
Average Time per Question
What the Questions Look Like
How Challenging Are the Passages?
The Reading and Writing Section at a Glance
The Math Section at a Glance
Using the Bluebook App
How Registration Works
Approved Devices for Test Day
What to Bring and What to Leave at Home
Important Test Day Rules
Tips for Test Day
The NMSQT: Your Path to National Merit
What Does NMSQT Mean?
The National Merit Scholarship Program: An Overview
Who Is Eligible?
The Four Levels of Recognition
How Your Score Is Used: The Selection Index
Key Points to Remember

Chapter 2 Math Section: What to Expect and How to Succeed

Quick Glance at the Math Section
The Two Question Formats
Word Problems: What to Expect
Charts, Graphs, and Figures
Tips for the Math Section
Breaking Down the Four Domains
Algebra
Advanced Math
Problem-Solving and Data Analysis
Geometry and Trigonometry
Don't Run Out of Time
Key Points to Remember

Vibrant’s 5-step Approach to PSAT Reading and Writing

Why You Need an Approach
Why You Should Use Vibrant’s Approach
How This Approach Is Used in This Book
The 5 Steps in Vibrant’s Approach

Chapter 3 Your Diagnostic Test—Check Where You Stand

Diagnostic Test
Answer Key
Detailed Answer Explanations

Chapter 4 Algebra Practice Questions

Linear equations in one variable
Easy questions
Medium questions
Hard questions
Linear equations in two variables
Easy questions
Medium questions
Hard questions
Linear functions
Easy questions
Medium questions
Hard questions
Systems of two linear equations in two variables
Easy questions
Medium questions
Hard questions
Linear inequalities in one or two variables
Easy questions
Medium questions
Hard questions
Answer Key
Detailed Answer Explanations

Chapter 5 Advanced Math Practice Questions

Equivalent expressions
Easy questions
Medium questions
Hard questions
Nonlinear equations in one variable and systems of equations in two variables
Easy questions
Medium questions
Hard questions
Nonlinear functions
Easy questions
Medium questions
Hard questions
Answer Key
Detailed Answer Explanations

Chapter 6 Problem-Solving and Data Analysis Practice Questions

Ratios, rates, proportional relationships, and units
Easy questions
Medium questions
Hard questions
Percentages
Easy questions
Medium questions
Hard questions
One-variable data: distributions and measures of center and spread
Easy questions
Medium questions
Hard questions
Two-variable data: models and scatterplots
Easy questions
Medium questions
Hard questions
Probability and conditional probability
Easy questions
Medium questions
Hard questions
Inference from sample statistics and margin of error
Easy questions
Medium questions
Hard questions
Answer Key
Detailed Answer Explanations

Chapter 7 Geometry and Trigonometry Practice Questions

Area and volume
Easy questions
Medium questions
Hard questions
Lines, angles, and triangles
Easy questions
Medium questions
Hard questions
Right triangles and trigonometry
Easy questions
Medium questions
Hard questions
Answer Key
Detailed Answer Explanations

Chapter 8 Math Test

Module 1
Module 2
Answer Key
Detailed Answer Explanations

PSAT/NMSQT Math Practice Questions is part of the Test Prep Series. The focus of the Test Prep Series is to make test preparation streamlined and fruitful for competitive exam aspirants. Students preparing for the entrance exams now have access to the most comprehensive series of prep guides for GRE, GMAT, and SAT preparation. All the books in this series are thoroughly researched, frequently updated, and packed with relevant content that has been prepared by authors with more than a decade of experience in the field.

If you want to annihilate the PSAT and qualify for a National Merit scholarship, this is the study resource you’ve been looking for! You’ll encounter challenging practice questions with detailed solutions to help you maximize your score, and you’ll be provided superior test strategies to help you over any rough spots.
-- Jill Schmidlkofer, Assistant Professor of Mathematics

PSAT/NMSQT Math Practice Questions is a thorough study guide designed to help students build confidence before test day. The book includes hundreds of practice questions organized by the official math domains, along with a diagnostic test, a full-length practice test, detailed answer explanations, and structured study plans. The questions gradually increase in difficulty, making it easy to strengthen skills step by step.

What I liked most was the emphasis on understanding the reasoning behind each answer instead of simply memorizing formulas. The explanations encourage students to recognize patterns and avoid common mistakes, which makes the practice more valuable than drilling problems alone. Whether you're preparing for the PSAT for the first time or hoping to qualify for National Merit recognition, this book provides plenty of targeted practice. My sincere thanks to the publisher and NetGalley for providing me with a free advance review copy.
-- Melanie Green, Netgalley Reviewer

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