Free SAT Math Practice Test — Algebra, Statistics & Geometry (With Answers)

You already know the basics. Now it's time to find out how far you can go.

This SAT Math practice test covers five topics that appear consistently on the real exam: systems of equations, quadratic factoring, rate problems, statistics, and geometry. These are the areas where students often lose points — not because the concepts are impossible, but because they haven't practiced them in an exam format.

Five questions. Instant feedback. A clear picture of where you stand.

What this SAT Math test covers

The SAT Math section tests a wide range of topics, but some appear far more frequently than others. This test focuses on five of them:

- **Systems of equations** — two equations, two unknowns
- **Quadratic equations** — factoring to find solutions
- **Rate problems** — distance, speed, and time
- **Statistics** — working with averages and means
- **Geometry** — the Pythagorean theorem

If any of these feel unfamiliar, pay close attention to the explanations after each question — they walk you through the exact reasoning the SAT expects.

Free SAT Math practice test

Answer all five questions and then click **Check My Answers** to see your results with full explanations.

Question 1. Solve the system of equations:
2x + y = 10
x − y = 2
What is the value of x?

A) 2 B) 3 C) 4 D) 6

Question 2. Which values of x satisfy the equation x² − 5x + 6 = 0?

A) x = 1 and x = 6 B) x = 2 and x = 3 C) x = −2 and x = −3 D) x = −1 and x = 6

Question 3. A car travels at a constant speed of 60 miles per hour. How many miles does it cover in 2.5 hours?

A) 120 B) 125 C) 140 D) 150

Question 4. The average (arithmetic mean) of five numbers is 12. Four of the numbers are 8, 10, 14, and 16. What is the fifth number?

A) 10 B) 11 C) 12 D) 13

Question 5. A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

A) 7 B) 9 C) 10 D) 14

Check My Answers

What your score tells you

**0–2 correct — Below Average**
The topics in this test are among the most commonly tested on the SAT. If two or more were difficult, these are priority areas to study before your exam date. The good news: all five concepts follow clear rules that can be learned with focused practice.

**3 correct — Average**
You have a working understanding of most of these topics, but there are specific gaps. Look at the questions you got wrong and focus your study there — improving in one or two targeted areas can move your score significantly.

**4–5 correct — Above Average**
Strong performance across five different topic areas. To push toward the 1400+ range, your next challenge is speed and accuracy on harder multi-step problems under timed conditions.

How to improve your SAT Math score faster

1. Know which topics cost you the most points

The SAT Math section is not one subject — it's a mix of algebra, data analysis, advanced math, and geometry. Students who improve fastest treat these as separate skill sets and track their accuracy in each one. A diagnostic test that breaks down your results by topic is far more useful than a general score.

2. Practice systems of equations until they're automatic

Systems of equations appear on almost every SAT. The elimination method — adding or subtracting the two equations to cancel a variable — is the fastest approach and works in the majority of cases. If this question slowed you down, make systems your first priority.

3. Don't skip the word problems

Rate problems and statistics questions are almost always presented as word problems on the real SAT. Many students avoid them because they look complicated, but they follow simple formulas: Distance = Speed × Time, and Mean = Sum ÷ Number of values. The challenge is translating the words into math quickly — and that comes from practice.

4. Review every mistake with full explanations

Getting a question wrong is only useful if you understand why. Looking at the correct answer is not enough — you need to understand the reasoning step by step so you can apply it to a different version of the same problem on test day. The explanations above are written exactly for this purpose.

Want to know your real SAT Math level?

Five questions give you a snapshot. A full diagnostic gives you a complete picture.

Test Me! lets you take a real SAT Math diagnostic test — covering all major topic areas — and get your level instantly. You'll see exactly where you're strong, where you're losing points, and what to focus on next.

Free to use. No signup required to get started.

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Final thoughts

The students who score highest on the SAT Math section aren't necessarily the best mathematicians. They're the ones who know exactly which topics to practice, have seen each question type before, and don't waste time on exam day figuring out where to start.

A practice test is step one. Now you know where to focus.