Print a set of SAT-style math practice questions below — the heart-of-algebra, problem-solving, and advanced-math topics the SAT tests — each with a complete answer key. Every set is generated fresh, so you always have new problems. No signup.
SAT Math Practice Questions
Linear equations
1.A gym charges a $25 signup fee plus $9 per month. After how many months does the total cost reach $79?
2.A gym charges a $40 signup fee plus $6 per month. After how many months does the total cost reach $94?
Ratios, rates & percents
3.A car travels 180 miles in 4 hours at constant speed. What is its speed in miles per hour?
4.A recipe uses 4 cups of flour for every 5 servings. How many cups are needed for 15 servings?
5.A $60 jacket is discounted 15%, and no tax is charged. What is the final price in dollars?
Systems of equations
6.Adult tickets cost $8 and child tickets $5. A group bought 14 tickets for $91. How many child tickets did they buy?
7.Adult tickets cost $8 and child tickets $3. A group bought 5 tickets for $25. How many adult tickets did they buy?
8.Adult tickets cost $10 and child tickets $6. A group bought 7 tickets for $58. How many adult tickets did they buy?
Quadratics & functions
9.What is the positive solution of x² + 5x − 6 = 0?
10.f(x) = 5x and g(x) = x + 2. Compute f(g(2)).
11.f(x) = 5x and g(x) = x + 6. Compute f(g(2)).
Exponential models
12.A sample starts at 1600 mg and halves every year. How much remains after 3 years (mg)?
13.A sample starts at 1600 mg and halves every year. How much remains after 1 year (mg)?
Geometry
14.What is the hypotenuse of this right triangle?
15.A square has perimeter 32. What is its area?
16.A square has perimeter 16. What is its area?
Data analysis
17.The table shows how many people chose each option. What percent chose option A?
18.The table shows the number of students in each group and each group's average score. What is the overall average?
Statistics
19.4 numbers have mean 11. After adding the value 26, what is the new mean?
20.A frequency table lists value 1 appearing 3 times, 1 appearing 1 times, and 4 appearing 1 times. What is the median of the data?
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Frequently asked questions
Are these SAT math questions free?
Yes — view, print, and share every set for free, with no account and no signup.
Do they include an answer key?
Every set includes a full answer key at the bottom of the page.
Are these real, official SAT questions?
No — these are original SAT-style practice questions in the same topics and format the SAT tests, so you can practice the skills without reusing copyrighted official exams.
Can I get a new set of questions?
Yes — click “Generate a new sheet” for a fresh set with a matching answer key.