10 SAT Mathematics Practice Questions to Sharpen Your Skills
Preparing for the SAT Mathematics section can feel overwhelming, but targeted practice is one of the most effective ways to build confidence and improve your score. Whether you’re reviewing algebra, problem-solving, or data analysis, working through realistic questions helps reinforce key concepts and familiarize you with the test format.
Below, you’ll find 10 SAT-style math questions designed to reflect the types of problems you’ll encounter on test day. These questions cover a range of topics, including linear equations, ratios, percentages, and geometry. After attempting each question, check your answers at the end of the post to assess your progress.
Section 1: Heart of Algebra
These questions focus on linear equations, inequalities, and systems of equations—core topics in the SAT Math section.
Question 1: Linear Equations
If ( 3x + 5 = 20 ), what is the value of ( x )?
Question 2: Systems of Equations
A system of equations is given:
[
\begin{cases}
2x + y = 7 \
x – y = 2
\end{cases}
]
What is the value of ( x )?
Question 3: Word Problem
A taxi company charges a $3 base fee plus $2 per mile traveled. If a ride costs $19, how many miles was the trip?
Section 2: Problem Solving and Data Analysis
This section tests your ability to interpret data, work with ratios, and solve real-world problems.
Question 4: Ratios
In a classroom, the ratio of boys to girls is 3:5. If there are 24 girls, how many boys are in the class?
Question 5: Percentages
A shirt originally priced at $40 is on sale for 25% off. What is the sale price of the shirt?
Question 6: Data Interpretation
The table below shows the number of books read by students in a month:
What is the median number of books read by the students?
Section 3: Passport to Advanced Math
These questions involve more complex equations, functions, and quadratic expressions.
Question 7: Quadratic Equations
What are the solutions to the equation ( x^2 – 5x + 6 = 0 )?
Question 8: Functions
If ( f(x) = 2x^2 – 3x + 1 ), what is ( f(4) )?
Question 9: Exponential Growth
A population of bacteria doubles every 3 hours. If the initial population is 100, what will the population be after 9 hours?
Section 4: Additional Topics in Math
This section includes geometry and trigonometry, which appear less frequently but are still important.
Question 10: Geometry
In the right triangle below, if one leg is 6 and the hypotenuse is 10, what is the length of the other leg?
Answers
Check your work against the solutions below:
- ( x = 5 )
- ( x = 3 )
- 8 miles
- 9 boys
- $30
- 2 books (The median is the middle value when the data is ordered.)
- ( x = 2 ) and ( x = 3 )
- 21
- 800 bacteria
- 8 (Use the Pythagorean theorem: ( 6^2 + b^2 = 10^2 ), so ( b = 8 ).)
Next Steps
How did you do? If you missed a few questions, don’t worry—use this as a guide to focus your study efforts. Here’s how to improve:
- Review mistakes: Identify which topics tripped you up and revisit those concepts.
- Practice regularly: Consistent practice helps reinforce skills and build speed.
- Simulate test conditions: Time yourself to get comfortable with the SAT’s pacing.
For more practice, consider using official SAT study guides or online resources like Khan Academy. Good luck, and keep practicing!