---
title: Complete List of FREE SAT Math Practice Problems · PrepScholar
description: Looking for SAT Math Practice problems and questions? Here's a bunch of free resources for you to test your math skills.
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---

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# [Complete List of FREE SAT Math Practice Problems](https://blog.prepscholar.com/complete-list-of-free-sat-math-practice)

![author image](http://cdn2.hubspot.net/hubfs/360031/author_courtney.png)

Posted by [Courtney Montgomery](https://blog.prepscholar.com/author/courtney-montgomery) | Updated on February 3, 2025

[SAT Math](https://blog.prepscholar.com/topic/sat-math)

 

![feature\_free-1](https://360031.fs1.hubspotusercontent-na1.net/hub/360031/hubfs/feature_free-1.jpg?width=438&name=feature_free-1.jpg)

Need to study for the SAT Math section but don't know where to start? On a budget, too? Not to worry! In this article, **we've put together a comprehensive list of all the best (and free!) SAT Math study materials and guides currently available online.**

**Note:** For info on the best SAT study materials you have to pay for, check out our picks for [top SAT prep books.](https://blog.prepscholar.com/best-sat-prep-books)

*Feature Image: [Alan O'Rourke](https://www.flickr.com/photos/toddle_email_newsletters/7002322316)/Flickr*

 

## The Importance of Using High-Quality SAT Math Materials

**It is incredibly important to get your study materials from the right places.** The SAT is a very specific kind of test, and there are many (many!) websites and programs out there that, sadly, offer only poor-quality SAT resources.

**If you study using mainly inferior SAT materials, you won't get a clear sense as to how you'll do on test day.** Test prep is about assessing and improving upon your current level, but you won't be able to do this if you get a false sense of your skills based on poor study materials. Ultimately, products and test questions that don't accurately reflect the SAT are a waste of time.

Therefore, **it's best to prioritize official SAT materials.** The SAT is designed by the College Board, and their free materials are by far the best place to start studying. From here, you can branch off into programs and materials that use (or closely resemble) official SAT material.

Now, let's look at the best resources you can use for free official SAT Math practice questions.

 

![body\_start-2](https://360031.fs1.hubspotusercontent-na1.net/hub/360031/hubfs/body_start-2.jpg?width=417&name=body_start-2.jpg)*Ready, set, go!*

 

## Top 5 Free Resources for Quality SAT Math Practice

In this section, we go over the top five free resources you can use for quality SAT Math prep.

 

### #1: [The College Board](https://www.collegeboard.org/)

As the creator and issuer of the SAT, the College Board is the best place to begin for collecting your free SAT Math study materials. The official website offers full-length SAT practice tests and practice questions for all sections.

 

#### Bluebook

**The closest you can get to taking the actual SAT is the free, full-length **[**practice exams in Bluebook**](https://satsuite.collegeboard.org/digital/digital-practice-preparation/practice-tests/bluebook)**, College Board’s online testing platform.** The seven available practice tests (numbered 4 through 10) provide you with a sneak peek of the interface, format, and scoring of the online test, so they’re a useful tool as you prepare for the digital format.

In addition to full-length exams, Bluebook also offers previews of individual questions from the actual SAT. Even these are useful as you’re trying out the digital interface and learning what kinds of math problems to expect.

Note that if you have [testing accommodations](https://blog.prepscholar.com/sat-accommodations-what-they-are-and-how-to-get-them) that allow you to take the test on paper, you'll want to practice on the [the official, printable practice tests](https://satsuite.collegeboard.org/digital/digital-practice-preparation/practice-tests/linear) created for the digital SAT. (They're the same seven practice tests as those on Bluebook, just in paper form.)

 

#### Old Official Full-Length SAT Practice Tests

While the newest practice tests will be most useful for your prep, you can also use these old (pre-digital) SAT practice tests, though keep in mind there will be differences 

There are 10 official practice tests from the 2016-2023 version of the SAT. Each test comes with an answer key and in-depth answer explanations to help you understand why you got questions wrong.

**Practice Test 1:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-1.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-scoring-sat-practice-test-1.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-1-answers.pdf)  
**Practice Test 2:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-2.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-scoring-sat-practice-test-2.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-2-answers.pdf)  
**Practice Test 3:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-3.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-scoring-sat-practice-test-3.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-3-answers.pdf)  
**Practice Test 4:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-4.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-scoring-sat-practice-test-4.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/PrepScholar-sat-practice-test-4-answers.pdf)  
**Practice Test 5:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/SAT_5.pdf?t=1475721017786) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/SAT_Practice_Test_Number_5_Scoring.pdf?t=1475721017786) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-5-answers.pdf)  
**Practice Test 6:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/SAT_6.pdf?t=1475721017786) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/SAT_Practice_Test_Number_6_Scoring.pdf?t=1475721017786) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-6-answers.pdf)  
**Practice Test 7:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-7.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/scoring-sat-practice-test-7.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-7-answers.pdf)  
**Practice Test 8:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-8.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-8-answers.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/scoring-sat-practice-test-8.pdf)  
**Practice Test 9:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-9.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/scoring-sat-practice-test-9.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-9-answers.pdf)  
**Practice Test 10:** [Questions](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-10.pdf) | [Answers](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/scoring-sat-practice-test-10.pdf) | [Answer Explanations](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/sat-practice-test-10-answers.pdf)

Although the general format of these tests is quite different, the individual math questions will be fairly similar to what you'll see on the digital SAT. Just keep in mind that they should be used for practicing skills and concepts rather than estimating your score.

 

 

![body\_choice-2](https://360031.fs1.hubspotusercontent-na1.net/hubfs/360031/body_choice-2.jpg)*No need to weigh the pros and cons here—all of the resources we recommend are guaranteed to help you get a great SAT Math score!*

 

### #2: [Khan Academy](https://www.khanacademy.org/sat)

Khan Academy is a nonprofit and partner of the College Board that offers a free online SAT prep program and practice questions.

While most of the questions come from official SAT practice materials (such as those linked above), others have been created or adapted with **approval from or in tandem with the College Board itself.**

[Sign up for a free Khan Academy account](https://www.khanacademy.org/sat) to get access to SAT study questions and materials, complete with guides and explanation videos to aid your studying.

 

### #3: [PrepScholar SAT Blog](https://blog.prepscholar.com/)

Here at PrepScholar, we offer tons of free resources, including detailed guides on [every SAT math topic](https://blog.prepscholar.com/whats-actually-tested-on-sat-math-topics) and [a complete collection of our best SAT Math articles](https://blog.prepscholar.com/sat-math-prep-guide-strategies-tips-practice). All our guides include definitions and explanations, examples of how you'll see the topic on the test, and **real SAT practice questions with detailed answer explanations.**

Browse our SAT Math guides below to get started! All guides are arranged by topic.

#### Numbers

- [Integers (Basic)](https://blog.prepscholar.com/the-basic-guide-to-integers-on-sat-math)
- [Integers (Advanced)](https://blog.prepscholar.com/complete-guide-to-integers-on-sat-math-advanced)
- [Fractions, Ratios, and Proportions](https://blog.prepscholar.com/complete-guide-to-fractions-and-ratios-sat-math)
- [Statistics (Mean, Median, Mode)](https://blog.prepscholar.com/statistics-on-sat-math-strategies-for-mean-median-and-mode)
- [Probability](https://blog.prepscholar.com/complete-guide-to-probability-on-sat-math-practice-questions)
- [Sequences](https://blog.prepscholar.com/sequences-on-sat-math-complete-strategy-and-review)

 

#### Algebra

- [Single Variable Equations](https://blog.prepscholar.com/single-variable-equations-sat-math-strategies)
- [Systems of Equations](https://blog.prepscholar.com/systems-of-equations-sat-math-algebra-prep-and-practice)
- [Functions](https://blog.prepscholar.com/functions-on-sat-math-linear-quadratic-algebra)
- [Completing the Square](https://blog.prepscholar.com/completing-the-square-formula)

 

#### Coordinate Geometry

- [Points](https://blog.prepscholar.com/coordinate-geometry-and-points-on-sat-math-complete-guide)
- [Lines and Slopes](https://blog.prepscholar.com/lines-slopes-sat-math-geometry-strategies-and-practice)
- [Reflections, Translations, and Rotations](https://blog.prepscholar.com/reflections-translations-and-rotations-on-the-sat-coordinate-geometry-guide)

 

#### Plane and Solid Geometry

- [Lines and Angles](https://blog.prepscholar.com/lines-angles-sat-math-prep-and-review)
- [Circles](https://blog.prepscholar.com/circles-sat-math-formulas-review-practice)
- [Triangles](https://blog.prepscholar.com/triangles-on-the-sat-geometry-strategies-and-practice-problems)
- [Polygons](https://blog.prepscholar.com/triangles-and-polygons-on-sat-math-strategies-and-practice-questions)
- [Solid Geometry](https://blog.prepscholar.com/solid-geometry-on-sat-math-the-complete-guide)

 

#### Trigonometry

- [Trigonometry](https://blog.prepscholar.com/sat-trigonometry)

 

#### Formulas

- [The 28 Critical SAT Math Formulas You MUST Know](https://blog.prepscholar.com/critical-sat-math-formulas-you-must-know)

 

In addition, we have **strategy guides that will help you solve numerous SAT Math problems across the board:**

- [Plugging in Answers](https://blog.prepscholar.com/plugging-in-answers-a-critical-sat-math-act-math-strategy)
- [Plugging in Numbers](https://blog.prepscholar.com/plugging-in-numbers-sat-act-math-strategy)

If you find our guides and quizzes helpful, you can also [sign up for a free five-day trial](https://www.prepscholar.com/sat/s/signup) to our test prep program. Our program assesses your current strengths and weaknesses and adapts based on your progress. It gives you practice questions tailored to your areas of needed improvement and provides answer explanations for all questions.

All our questions are based off real SAT test questions and, though the full program is not free, **we guarantee your money back if you do not improve by 160 points.**

 

### #4: [CrackSAT.net](https://www.cracksat.net/index.html)

CrackSAT is a free, unofficial SAT website offering PDFs of official SAT practice tests and an array of both official and unofficial SAT Math questions.

Many of the questions on CrackSAT come from SAT prep books by well-known test-prep companies including The Princeton Review and Kaplan. Though generally solid, unofficial SAT questions can vary wildly in quality, so don't rely on *only* these to give you a sense of your math abilities. Rather, **it's best to use this website after you've exhausted all the official SAT resources above.**

What's especially nice about this website is its organization: math questions are available in both [multiple-choice](https://www.cracksat.net/sat/math-multiple-choice/) and [grid-in](https://www.cracksat.net/sat/math-grid-ins/) categories to give you the full range of math practice. You can also browse problems by concept (e.g., [linear functions](https://blog.prepscholar.com/functions-on-sat-math-linear-quadratic-algebra), [exponents and radicals](https://blog.prepscholar.com/complete-guide-to-integers-on-sat-math-advanced), etc.).

 

[![Disappointed with your scores? Want to improve your SAT score by 160 points?   We've written a guide about the top 5 strategies you must use to have a shot at improving your score. Download it for free now:](https://no-cache.hubspot.com/cta/default/360031/interactive-144977309594.png)](https://blog.prepscholar.com/hs/cta/wi/redirect?encryptedPayload=AVxigLJvGayCQ%2Ft2H16EEveOHKsc5HkSq38fgXWX8U7JC2MWTVsgVMklK3n3xIP8gHxJwjT%2B6kClC23OkZIZbUWScV3B8btAOpxk8UIEPFOoPW3nk1K%2BK1FIbkHnlVBKGr4gor9sNMBB67zGP%2FZkTdODehMEWtIrpfHSXbfVSzUbVRZeoNA4zVpaY52kpgd%2B1XKpceeR3w%3D%3D&webInteractiveContentId=144977309594&portalId=360031)

 

![body\_carry](https://360031.fs1.hubspotusercontent-na1.net/hub/360031/hubfs/body_carry.png?width=252&height=358&name=body_carry.png)

*You've gathered all your study material ... so now what?*

 

## How to Use SAT Math Study Materials Effectively: 6 Tips

It's just as important to know how to best utilize your SAT study materials as it is to know how to access them. These six tips will help you achieve your highest SAT Math score on test day.

 

### #1: Take a Full Practice Test in One Sitting

You're probably most concerned about your SAT Math score, but it's still important to **take a full SAT practice test** so you can see how you'll fare on test day. Although answering one or two Math questions might not be too much of a challenge for you, in truth the SAT is a marathon—and if you aren't prepared, you'll likely be exhausted by the end of it. And exhaustion can lead *anyone* to make mistakes!

So before you dedicate your focus to the SAT Math section, **take an official SAT practice test on the Bluebook app to see how your Math score fits into the larger test-taking picture.** Make sure to take the whole test in one sitting; this will help you build endurance for test day.

 

### #2: Use Proper Timing and Pace Yourself

As you take SAT practice tests and any Math-specific sections, be sure to **use the same time limits you'll have on test day.**

The chart below shows how much time you'll have on each SAT section as well as how much time you should (approximately) spend per question. Note that each section is split into two modules of equal lengths.

| **SAT Section** | **Total Time** | **# of Questions** | **Time per Question** |
| --- | --- | --- | --- |
| Reading and Writing | 64 minutes | 54 | 71 seconds |
| **Math** | **70 minutes** | **44** | **95 seconds** |

 

You'll have about 9**5 seconds** per SAT Math question. Some questions might take you less or more time, but keep practicing so that you're not consistently spending too long on a single math question.

Remember that accuracy is only half the battle—you have to actually **finish the questions within the time limits** if you want to get a high Math score!

That said, **don't worry if you run out of time while taking your first SAT practice test.** This is completely normal and gives you a starting point from which you can later improve.

 

### #3: Review Your Mistakes

It's one thing to take an SAT Math test, but you also need to **look over your results and identify any patterns in your correct and incorrect answers.** Do you tend to get the last few questions wrong on each Math section? Do [function](https://blog.prepscholar.com/functions-on-sat-math-linear-quadratic-algebra) questions just seem to throw you for a loop?

First, figure out what went wrong. Then, see how you can pick up some easy points and **diligently target those areas in your prep.** (Remember that each Math question, no matter its difficulty, is worth the same number of points!)

 

### #4: Target Your Biggest Weaknesses

Once you've pinpointed patterns in the errors you make, it's time to dig deeper and examine your biggest weaknesses. Your ultimate goal will be to **tailor your studying so that you can focus on improving the areas you struggle with the most.**

Since your overall objective is to answer as many questions as accurately as possible, you'll want to dedicate the majority of your study time to improving your weaknesses, rather than to reviewing material you already know well.

Refreshing your known material again and again might make you feel productive and confident, but **it doesn't do a whole lot to improve your score.** Your best bet is to focus on your problem areas by practicing and expanding your knowledge base.

 

### #5: Set a Study Schedule

Don't be tempted to [cram right before the test](https://blog.prepscholar.com/sat-cram-plan). You might have a busy schedule and feel as if your only option is to cram for the SAT, but improvement really happens over time. We generally advise giving yourself **at least three to six months to study for the SAT.**

If you don't have a lot of time left before test day, however, **don't give up!** No matter how much time you've got for studying, it *is* possible to come up with a [balanced SAT study plan](https://blog.prepscholar.com/sat-study-plan).

First, calculate the amount of time you have before your [test date](https://blog.prepscholar.com/2017-2018-sat-test-dates-full-review). (For example, [say you've got a month before your test](https://blog.prepscholar.com/how-to-study-for-the-sat-in-a-month).)

Next, assign yourself **at least three full practice tests** (in addition to your normal study materials) and spread them out over the course of your study schedule. If you only have a week or so before test day, this probably won't be possible. In this case, try to fit in at least one or two practice tests wherever you can.

Nothing else replicates the SAT experience like a full practice test does, so don't underestimate its importance in your prep!

 

### #6: Not Seeing Any Improvement? Get Additional Prep Help

Some students prefer to do all of their SAT studying by themselves, but others work better with a little guidance.

If the SAT subject matter just isn't making sense to you or you need help prioritizing your time, an SAT tutor or prep program (or both!) are excellent options to try. **Both can give you that final push you need to stay focused and maximize your SAT Math score.**

At PrepScholar, we offer [expert SAT tutoring services](https://www.prepscholar.com/sat-tutoring/) in addition to [a fully customizable SAT prep program](https://www.prepscholar.com/). For more info, read our guides on [how to find the best SAT tutor for you](https://blog.prepscholar.com/how-to-find-the-most-effective-sat-act-tutor-for-you) and [how much you should spend on tutoring](https://blog.prepscholar.com/how-much-should-you-pay-for-sat-act-tutoring).

 

![body\_trust-1](https://360031.fs1.hubspotusercontent-na1.net/hub/360031/hubfs/body_trust-1.jpg?width=487&name=body_trust-1.jpg)

*Targeted and careful practice, rest, and confidence: the perfect recipe for SAT success.*

 

## What's Next?

**Don't know where to start?** Take a look at our list of [all math topics on the SAT Math section](https://blog.prepscholar.com/whats-actually-tested-on-sat-math-topics), and target your weaknesses with [our individual SAT Math guides](https://blog.prepscholar.com/topic/sat-math).

**Want to know what the hardest SAT Math questions are?** We've compiled a list of the [13 most challenging SAT Math questions](https://blog.prepscholar.com/hardest-sat-math-questions), along with answer explanations for each.

**Bitten by the procrastination bug?** **Time running out until test day?** Check out [how to beat the urge to procrastinate](https://blog.prepscholar.com/how-to-beat-procrastination-when-studying-for-the-act-sat), and learn how to balance time for your studies.

**Looking to get a perfect SAT Math score?** Dig into [our guide to getting a perfect 800 on SAT Math](https://blog.prepscholar.com/how-to-get-800-on-sat-math-by-a-perfect-scorer), written by a perfect scorer!

 

[![Want to improve your SAT score by 160 points?   We have the industry's leading SAT prep program. Built by Harvard grads and SAT full scorers, the program learns your strengths and weaknesses through advanced statistics, then customizes your prep program to you so you get the most effective prep possible.   Along with more detailed lessons, you'll get thousands of practice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next.   Check out our 5-day free trial today:](https://no-cache.hubspot.com/cta/default/360031/interactive-151896378542.png)](https://blog.prepscholar.com/hs/cta/wi/redirect?encryptedPayload=AVxigLKtqB3D7Fo2ULH%2FzCo2vvwnGU%2Fk%2FWLyo%2BE%2Bb7qbtfSZHnwcyGoRz8Em4MfW7d8goBPO2zQJ89ZEo3oQQ%2FkE1YYpqz5NPmAjMldCdkVTy5hR0Q43KchKSOQxQIoVIDbPl8Gq4TH0xX8SJ7UXxg16U2zbt8vTvFP8Rsye2ZNU0wxMMO3Mhk%2BwY839lQE%3D&webInteractiveContentId=151896378542&portalId=360031)

 

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 Courtney Montgomery

 Courtney scored in the 99th percentile on the SAT in high school and went on to graduate from Stanford University with a degree in Cultural and Social Anthropology. She has years of tutoring experience and writes creative works in her free time.

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