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Practice for the SAT® Math Section

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This free, unofficial Brighterly math practice test helps students review skills assessed in the Math section of the SAT® exam. It includes 15 original multiple-choice questions covering algebra, advanced math, data analysis, geometry, and trigonometry. All questions and explanations are original Brighterly content; no College Board test questions are reproduced.

15 Original Practice Questions for the SAT® Math Section

SAT Math

SAT Math

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1 / 15

A line in the xy-plane passes through the points (2,5) and (6,13). Which of the following equations represents this line?

2 / 15

A local bakery sells boxes of donuts for $12 each and boxes of bagels for $8 each. On Saturday, the bakery sold a total of 45 boxes for $460. How many boxes of donuts were sold?

3 / 15

If 3x−7 ≤ 5x+9, what is the minimum possible value of x?

4 / 15

Which of the following is equivalent to the expression (3x² - 4x + 5) - 2(x² - 2x - 1)?

5 / 15

A quadratic function is defined by f(x) = (x - 3)² - 16. What are the x-intercepts of the graph of y=f(x) in the xy-plane? 

6 / 15

If 2³ˣ⁻¹ = 32, what is the value of x?

7 / 15

The function g is defined by g(x) = a · bˣ, where a and b are positive constants. If g(0) = 5 and g(2) = 45, what is the value of g(1)?

8 / 15

 A sample of 120 students was surveyed, and 45% of them reported participating in after-school sports. Based on this survey, how many students in the sample participate in after-school sports?

9 / 15

A car depreciates in value by 15% each year. If the purchase price of the car was $24,000, which function V(t) models the value of the car, in dollars, t years after it was purchased?

10 / 15

A data set consists of eight values: 4, 7, 8, 10, 12, 12, 15, 18. If the value 26 is added to the data set, which of the following statements is true? 

11 / 15

A jar contains red, blue, and green marbles. The probability of selecting a red marble at random is ¼, and the probability of selecting a blue marble is ⅖. If there are 35 green marbles in the jar, how many total marbles are in the jar?

12 / 15

 In a right triangle ABC, angle C is the right angle. If sin⁡(A)=⅗, what is the value of cos⁡(B)?

13 / 15

The equation of a circle in the xy-plane is given by x² + y² − 6x + 8y = 0. What is the radius of the circle?

14 / 15

A cylindrical tank has a base radius of 4 meters and a height of 9 meters. What is the total volume of the tank, in cubic meters?

15 / 15

Triangle PQR is similar to triangle XYZ, where vertex P corresponds to X, Q to Y, and R to Z. If the measure of angle P is 42° and the measure of angle Q is 68º , what is the measure of angle Z?

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Free Brighterly Practice for the SAT Math Section

This Brighterly practice test is a focused skills check for high school students preparing for the Math section of the SAT exam. Its 15 original questions cover skills from four Math content domains: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry.

Because this is a short, nonadaptive practice set rather than a full-length exam, students can use it to identify likely strengths and knowledge gaps before completing official full-length practice.

Skills Covered

  • Linear equations and inequalities
  • Systems of linear equations and word problems
  • Equivalent polynomial expressions and quadratic functions
  • Exponential functions and percent change
  • Mean, median, probability, and proportional reasoning
  • Right-triangle trigonometry and similar triangles
  • Circles and cylinder volume

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More About This Practice Test for the SAT Math Section

The questions cover several types of mathematical reasoning assessed in the Math section of the SAT exam. Each question has four answer choices, and the mix helps show whether an error comes from an unfinished concept, a setup mistake, or a calculation that needs more care:

  1. Algebra. Find a line from two points, solve linear equations and inequalities, and build a system from a real-world situation.
  2. Advanced Math. Simplify polynomials, find the zeros of a quadratic, and interpret exponential functions.
  3. Problem-Solving and Data Analysis. Work with percentages, depreciation, measures of center, probability, and proportional relationships.
  4. Geometry and Trigonometry. Use right-triangle ratios, circle equations, similarity, angle measures, and volume formulas.

Next Steps After This Practice Test

A score is most useful when it leads to a specific study decision. After finishing the test:

  1. Sort missed questions by topic. Separate algebra, advanced math, data analysis, and geometry or trigonometry errors instead of reviewing every topic equally.
  2. Redo each missed problem without the answer choices. This shows whether the student can build the solution independently rather than recognize it from a list.
  3. Practice the weakest skills. Use Brighterly’s free math worksheets for focused repetition on equations, quadratics, percentages, circles, and other tested concepts.
  4. Check related skills on another test. Our other math tests can show whether a weak area is specific to the SAT® exam or a wider gap worth working on.
  5. Get personalized support. A high school math tutor can explain recurring errors and organize practice around the student’s test date.

Benefits of This Practice Test

📐

Checks Skills Across Four SAT Math Content Domains

The test samples Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. Students can compare their performance across these broad skill areas and decide which topics require more practice.

🗺️

Turns a Score Into a Study Map

Because the set mixes equations, functions, data, probability, circles, volume, and trigonometry, missed questions point to concrete skills to revisit instead of a vague need to “study more” — and each of those skills has practice waiting for it.

⏱️

Fits Into a Short Study Session

Fifteen questions are enough to sample several important skills without requiring a full test-day block. Students can use the set as an early diagnostic or a quick checkpoint later on — and if the same gaps keep reappearing, one session with a tutor usually resolves more than another round of solo review.

🎯

Supports Focused Test Preparation

One-to-one instruction can target the exact reasoning steps behind repeated mistakes, from translating word problems to choosing an efficient equation or formula — the kind of correction that is hard to make from an answer key alone.

SAT® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, Brighterly or this website.

Poor Level
Weak math proficiency can lead to academic struggles, limited college, and career options, and diminished self-confidence.
Mediocre Level
Weak math proficiency can lead to academic struggles, limited college, and career options, and diminished self-confidence.
Needs Improvement
Start practicing math regularly to avoid your child`s math scores dropping to C or even D.
High Potential
It's important to continue building math proficiency to make sure your child outperforms peers at school.

Frequently Asked Questions

What Topics Does This Practice Test Cover?

The test covers linear equations and inequalities, systems of equations, polynomial expressions, quadratic and exponential functions, percentages, mean and median, probability, right-triangle trigonometry, circles, similarity, and cylinder volume. Together, these questions sample skills from the four main Math content domains of the SAT exam.

Is This a Full-Length Practice Test for the Digital SAT Exam?

No. This is an unofficial 15-question diagnostic practice set created by Brighterly to help students identify strengths and knowledge gaps quickly. The Math section of the SAT exam is longer and uses an adaptive digital format. Students should also complete official full-length practice tests provided by the College Board before test day.

Should Students Use a Calculator?

Students may use a calculator, but it is worth solving straightforward questions mentally or on paper first. The goal is not only to reach the correct answer but also to choose an efficient method and avoid unnecessary calculator steps.

How Should Students Review Wrong Answers?

First, identify the content area and the exact step where the solution broke down. Then solve the problem again without looking at the choices, complete a few similar practice problems, and return to the original question later to check retention.

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