Math
Build fluency across algebra, advanced math, data analysis, geometry, and trigonometry.
- Algebra
- Advanced Math
- Problem-Solving & Data Analysis
- Geometry & Trigonometry
Free study resource
Practice with a focused SAT® Prep plan
Move between Math and Reading & Writing with a balanced 24-question diagnostic, then keep going with 896 practice questions and a concise worked explanation for every one. Take the whole set offline in a printable study pack.
No account, email, or payment required. Your diagnostic answers are not saved.
Built for deliberate practice
Two subjects, one clear routine.
Start broad with the diagnostic, then open a subject and work one skill area at a time. Every question on both subject pages carries a worked explanation, so a missed item ends in a method you can repeat rather than a letter you have seen.
448 practice questions
Reading & Writing
Practice reading closely, choosing precise language, shaping ideas, and editing clearly.
- Information & Ideas
- Craft & Structure
- Expression of Ideas
- English Conventions
Practice, with a clock on it
Eight ways through the same bank.
Repetition is what moves a score, and a wall of questions is a hard thing to come back to. Each mode asks something different of the same 896 questions — against a clock, against a life count, one skill area at a time, or built from what you have actually missed.
Open the practice gamesSpeed Round
60 secondsAnswer as many as you can before the clock runs out. A wrong answer costs nothing but the time you spent on it.
Survival
Three livesThe questions get harder every five you clear. Three wrong answers ends the run.
Daily Five
New each dayFive questions, the same five for everyone today, spread across all eight skill areas.
Weak Skills
Built from your missesReplays the skills you have got wrong before, hardest-hit first. Unlocks once you have missed something.
Skill Drill
One area at a timeTen questions from a single skill area, untimed, with the explanation after each one. The only mode that lets you stay in one place.
Elimination
Strike out threeRule out the three wrong answers instead of picking the right one. Touch the correct answer and the question is lost.
Due Today
Spaced repetitionThe questions you got wrong, returning a day later, then three, then a week. Answer one right and it goes further away; miss it and it comes straight back.
Sure or Not
Know what you knowAnswer, then say whether you were sure before you find out. Being wrong is ordinary; being wrong and certain is what costs you a paper.
Free 24-question diagnostic
Find the skill to practice next
MathAlgebraLinear equationsFoundation
If 3x + 5 = 23, what is the value of x?
Answers stay in this browser and are not saved.
Timed practice forms
18 original papers, timed for deliberate practice.
Each paper runs 48 questions across two separately timed sections, 70 minutes in total, and ends with a breakdown of how you did in each of the eight skill areas. No paper shares a question with any other, so sitting a second one measures you rather than your memory.
These are independent 48-question practice forms, not full-length official SAT exams. Use the official format guide below when you are planning a full test-day rehearsal.
Sitting every paper online is free and needs no account. A paper reports a count of questions rather than a scaled score — here is how SAT scoring actually works, and why.
Two timed sections
Reading and Writing, then Math — each with its own clock, exactly as the paper is sat.
Flag and come back
Mark a question, move on, and use the jump grid to return before the section closes.
A breakdown, not just a score
Results split by skill area, so the next thing to practice is named rather than guessed.
Picks up where you left it
A paper interrupted mid-section is restored from this browser, and cleared once you submit.
Beyond single questions
Reasoning that has to hold for four questions.
A bank of standalone questions drills a skill and cannot rehearse the thing the test actually rewards: carrying one reading or one setup through several dependent steps. Each set shares a passage, data table or scenario, and every question after the first names what it needs you to have got right earlier — so when a set comes apart, you can see exactly where.
Study offline with the full pack
Print it, annotate it, or take it on a tablet. The pack has Math and Reading & Writing sections, answer keys, and a worked explanation for every question.
A sensible way to use it
- 1
Try first
Work through a small set before opening the answer key.
- 2
Name the gap
Use the subject, area, and skill label to identify the concept behind a missed item.
- 3
Redo the method
Read the explanation, close it, and solve the question again from scratch.
Method, not just answers
A guide for each skill area.
Knowing an answer is wrong is not the same as knowing what to do instead. Each of the eight areas has a guide covering the routine that produces the answer, worked examples, and the mistakes that have a wrong choice waiting for them.
Algebra
6 question types
Read the guideAdvanced Math
6 question types
Read the guideProblem-Solving & Data Analysis
6 question types
Read the guideGeometry & Trigonometry
6 question types
Read the guideInformation & Ideas
6 question types
Read the guideCraft & Structure
4 question types
Read the guideExpression of Ideas
4 question types
Read the guideEnglish Conventions
6 question types
Read the guideLook it up
The reference shelf.
The pages you open once and come back to: what the test hands you, what it does not, and what it does with your answers afterwards.
Question of the day
Five questions, the same five for every reader in the world, changing at midnight UTC.
OpenPractice by skill
42 question types, from transitions to circles, each page holding every question that tests it.
OpenMath formulas
42 worth knowing, split into the 11 the test supplies and the 31 you have to bring.
OpenGrammar rules
32 rules behind the Reading and Writing conventions questions, each with the test's own habit of using it.
OpenVocabulary in context
112 ordinary words, each paired with the sense the test wants and the everyday sense it offers instead.
OpenHow scoring works
Raw points, the adaptive second module, and why no practice test can hand you a number out of 1600.
OpenPacing and the clock
71 seconds a Reading and Writing question, 95 for Math, and where to be at each checkpoint.
OpenTest day, on screen
The app the test runs in, the 8 tools inside it, the built-in graphing calculator, and how to use each one.
OpenCommon questions
Is this SAT practice free?
Yes. Every question, explanation, skill guide, practice game, and the printable pack are free, with no account, no email, and no payment at any point.
Are these real SAT questions?
No. Every question and explanation is written by IQ Test Center and aligned to the eight skill areas the digital SAT reports on. SAT is a registered trademark of the College Board, which does not endorse this study guide.
How many practice questions are there?
There are 896 questions in total: 448 in Math and 448 in Reading and Writing, split evenly across the eight skill areas at 112 each. Every one has a worked explanation.
Where should I start if I have not taken the SAT before?
Start with the 24-question diagnostic on this page. It draws three questions from each of the eight skill areas and ends with a breakdown showing which area to work on first. From there, open that area's skill guide, then its practice questions.
What is the difference between the skill guides and the practice pages?
The practice pages hold the questions, answers, and explanations. The skill guides hold the method: what each area asks for, a routine that works across the whole area, worked examples, and the mistakes that have a wrong answer waiting for them. They share no content.
Do the practice games save my score?
Best scores and your daily streak are stored in your own browser and nowhere else. Nothing is sent to a server, tied to an account, or used to profile you, and clearing your browser data removes them.
How is the digital SAT scored?
Two section scores of 200–800 are added to a total of 400–1600. One point per correct answer with no penalty for a wrong one, so never leave a blank — but the conversion from that raw count to the scale is fitted to the form you sat, and on the digital test the second module of each section is chosen by how you did on the first. That is why two people can answer the same number correctly and score differently, and why no practice test can hand you a number out of 1600.
How SAT scoring works, in fullHow much time do I get per question?
About 71 seconds in Reading and Writing and 95 in Math, from 32 minutes for 27 questions and 35 minutes for 22. Each module is timed on its own, so that budget is the one that matters. The average is not the instruction though: three checkpoints in a module is enough to catch a problem while it is still fixable, and watching a per-question clock costs more attention than it saves.
Pacing, with the checkpointsCan this predict my SAT score?
No, and it does not try to. The diagnostic reports how many questions you answered correctly in each skill area so you can decide what to practice next. It is a study tool, not a scoring instrument.
Can I use the questions offline or in a classroom?
Yes. The printable pack contains all 896 questions with answer keys and worked explanations, organized by subject and skill area, and needs no account to download.
About this study guide
Every question and worked explanation on this page and in the downloadable pack is written by IQ Test Center, aligned to the eight skill areas the digital SAT reports on. SAT® is a registered trademark of the College Board, which does not endorse this study guide.
Wondering how this differs from a cognitive assessment? Read SAT vs IQ test, or try Cognitive Skills and Brain Gym.