Home » The Digital SAT: What’s Tested, How It’s Scored, and How to Improve Your Score » SAT Prep Options: How Many Hours You Need, What Each One Costs » Digital SAT Math Secrets: 900+ Practice Problems Across All 17 Math Topics
By Glyn Caddell, BSME · Author of Digital SAT Math Secrets · Tutoring since 2008 — Published August 31, 2026
Digital SAT Math Secrets: Lessons & Tricks to Quickly Improve to a Perfect 800 on the Math Test is our SAT math book. It covers all 17 Digital SAT math topics across six lessons, with over 900 practice problems, three full-length math practice tests, and a worked-out explanation for every question. The lessons are ordered by how often each topic is tested, so the first three lessons alone cover 68.6% of the math questions. It’s the same material we use in our SAT math classes.
What's in the Book
The book is a math guide and a math workbook in one. Most SAT books are one or the other. A guide teaches concepts but doesn’t give enough practice. A workbook gives practice but doesn’t teach.
Six Lessons Covering All 17 Math Topics
The book is organized into six lessons, broken down into the 17 specific math topics that appear on the Digital SAT. Every topic gets at least one worked example and one practice question inside the lesson, with more practice after each chapter.
Over 900 Practice Problems
There are more than 900 SAT math practice problems in the book. Every one has a written explanation.
The explanations show the hand-written math steps, not just the answer. A student who gets a question wrong can see exactly where his work went off track instead of guessing at it.
Three Full-Length Math Practice Tests
The book includes three full-length SAT math practice tests, all based on the official College Board practice tests. A scoring table is included so students can convert their results into a math score using College Board’s scoring recommendations.
After each practice test, a student can see which topics he’s missing and go to the extra practice sets for those topics before taking the next one.
A Workbook Section at the Back
After the lessons and the practice tests, the back of the book is essentially a workbook. It has additional questions covering all of the lessons, so a student who wants more practice on a specific topic has somewhere to go.
How the Book Is Organized
This is the part that makes the book different from other SAT math books, and it comes from the same work behind everything else on this site.
We went through every practice test the College Board has released and categorized every math question into 17 specific topics. Then we measured how often each one appears. Linear functions turns out to be 15% of the math questions. Some topics show up on fewer than one question per test.
The lessons in the book follow that order — the most common topics come first. But they’re also ordered so that each lesson builds on the one before it, because some topics can’t be learned until you understand an earlier one.
The first three lessons cover the heart of the math questions on the SAT along with the math strategies. Between them, those three lessons account for 68.6% of the math questions on the Digital SAT.
That’s the argument for the book’s structure. A student who works through only the first three lessons has covered more than two thirds of the math section. A student who runs out of time before the test has still spent it on the part that matters most.
You can see the full breakdown of the 17 Digital SAT math topics and how often each one appears on the test.
Who the Book Is For
The book works for students at any starting point, but it’s organized for a student who wants to improve efficiently rather than review everything.
It’s an advanced guide in the sense that it puts the most important math skills at the front instead of starting with the basics and working up. A student who is short on time gets the highest-value material first. A student with more time can work through the whole book, since the later chapters cover the basic math topics too.
Students in our SAT prep classes use this book, so a family that wants the same material without the class can get it.
What the Book Does Not Cover
The book is math only. It does not cover SAT Reading & Writing.
That’s deliberate. Math and Reading & Writing need different kinds of practice, and combining them into one book means covering both in less depth. For the Reading & Writing section, see our breakdown of the 15 Digital SAT Reading & Writing topics, which has a lesson and practice problems for each one.
How to Use the Book
The book can be used on its own or alongside a class or tutoring.
Start With a Diagnostic
Before working through 900 practice problems, it’s worth knowing which of the 17 topics you’re actually losing points on. Most students are strong in some and weak in others, and the fastest improvement comes from working on the common topics you’re weakest in.
Our free diagnostic SAT gives you a score based on College Board scoring plus a list showing which topics are costing you the most points. Take that list to the book and start with those chapters.
Using the Book on Its Own
Work through the lessons in order, do the practice questions inside each lesson, then take the first practice test. See which topics you missed, go to the extra practice sets for those topics, and take the next test.
Continuous practice with feedback and explanations is what gets a student to a top math score. Reading about math doesn’t do it.
Using the Book With a Class or Tutoring
Our SAT prep classes use this book as the math material. For SAT tutoring, the book gives a student somewhere to practice between sessions, which is where most of the improvement actually happens.
See all SAT prep options to compare them.
Glyn Caddell
Glyn Caddell holds a BS in Mechanical Engineering from NJIT and has been tutoring New York City students since 2008. He founded Caddell Prep in 2012 and is the author of Digital SAT Math Secrets: Lessons & Tricks to Quickly Improve to a Perfect 800 on the Math Test, which contains over 900 practice problems and is used in Caddell Prep’s SAT math classes. He is founding president of the Staten Island Technical High School alumni association and teaches every lesson on this site personally.
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