SAT Math Practice Test is a free online practice test with 15 questions on linear equations, percentages, systems of equations, functions, slope, quadratics, exponents, proportions, circles, triangles, averages, percent change, right triangles, expressions and rates. The questions cover linear equations, percentages, systems of equations, functions, quadratics, exponents, proportions, circles, triangles, averages and expressions. This is independent practice and is not affiliated with the official exam provider. The test scores itself, and it shows the correct answer and an explanation for every question you miss.
Take it in test mode to see your score and answers at the end, or in practice mode to check each answer straight away. A printable version and an answer key are included, and the test takes about 25 minutes.
This test needs JavaScript. The questions and the answer key are also listed further down the page.
SAT Math Practice Test
Name: ______________________ Date: ______________
Solve for x: 3x + 7 = 22.
Answer: ______________
What is 40% of 250?
Answer: ______________
x + 2y = 11 and x − y = 2. What is y?
Answer: ______________
If f(x) = 2x² − 3, what is f(4)?
Answer: ______________
A line passes through (0, 5) and (4, 13). What is its slope?
Answer: ______________
What is the sum of the solutions of x² − 7x + 10 = 0?
Answer: ______________
If 2ˣ = 32, what is x?
Answer: ______________
A recipe uses 3 cups of flour for 12 cookies. How many cups are needed for 30 cookies?
Answer: ______________
A circle has an area of 49π. Its circumference is kπ. What is k?
Answer: ______________
Two angles of a triangle are 47° and 68°. What is the third angle in degrees?
Answer: ______________
The mean of six numbers is 14. Five of them are 10, 12, 15, 18 and 9. What is the sixth?
Answer: ______________
A town grows from 8,000 to 9,200 people. What is the percent increase? Enter the number only.
Answer: ______________
In a right triangle the legs are 9 and 12. What is the hypotenuse?
Answer: ______________
Which expression is equivalent to (x + 3)²?
A. x² + 9 B. x² + 6x + 9 C. x² + 3x + 9 D. x² + 6x + 6
A car uses 3 gallons of fuel for every 90 miles. How many gallons does it use for 240 miles?
Answer: ______________
Answer key: SAT Math Practice Test
- 5
- 100
- 3
- 29
- 2
- 7
- 5
- 7.5
- 14
- 65
- 20
- 15
- 15
- x² + 6x + 9
- 8
What this test covers
- Linear equations (1 question)
- Percentages (1 question)
- Systems of equations (1 question)
- Functions (1 question)
- Slope (1 question)
- Quadratics (1 question)
- Exponents (1 question)
- Proportions (1 question)
- Circles (1 question)
- Triangles (1 question)
- Averages (1 question)
- Percent change (1 question)
- Right triangles (1 question)
- Expressions (1 question)
- Rates (1 question)
How the test works
Test mode and practice mode
In test mode you answer every question first and see your score, the time you took and the answers at the end. In practice mode you press Check after each answer to see right away whether it is correct, with the explanation.
How answers are scored
For questions with a number as the answer, you can type a whole number, a decimal such as 2.5, or a fraction such as 3/4. A dollar or pound sign is ignored, and a fraction and its decimal value count as the same answer. Multiple choice questions have one correct choice.
Printing the test and the answer key
Use Print the test for a paper copy with a space for each answer, and Print the answer key for the matching answers. Both print without the rest of the page.
Questions and answer key
The questions
- Solve for x: 3x + 7 = 22.
- What is 40% of 250?
- x + 2y = 11 and x − y = 2. What is y?
- If f(x) = 2x² − 3, what is f(4)?
- A line passes through (0, 5) and (4, 13). What is its slope?
- What is the sum of the solutions of x² − 7x + 10 = 0?
- If 2ˣ = 32, what is x?
- A recipe uses 3 cups of flour for 12 cookies. How many cups are needed for 30 cookies?
- A circle has an area of 49π. Its circumference is kπ. What is k?
- Two angles of a triangle are 47° and 68°. What is the third angle in degrees?
- The mean of six numbers is 14. Five of them are 10, 12, 15, 18 and 9. What is the sixth?
- A town grows from 8,000 to 9,200 people. What is the percent increase? Enter the number only.
- In a right triangle the legs are 9 and 12. What is the hypotenuse?
- Which expression is equivalent to (x + 3)²? (A. x² + 9; B. x² + 6x + 9; C. x² + 3x + 9; D. x² + 6x + 6)
- A car uses 3 gallons of fuel for every 90 miles. How many gallons does it use for 240 miles?
Answers and explanations
| Question | Answer | Explanation |
|---|---|---|
| 1 | 5 | Subtract 7 to get 3x = 15, then divide by 3: x = 5. |
| 2 | 100 | 10% of 250 is 25, so 40% is 4 × 25 = 100. |
| 3 | 3 | Subtract the second equation from the first: 3y = 9, so y = 3. |
| 4 | 29 | 4² = 16, so 2 × 16 − 3 = 29. |
| 5 | 2 | Slope = change in y ÷ change in x = 8 ÷ 4 = 2. |
| 6 | 7 | Factor as (x − 2)(x − 5) = 0, so x = 2 or 5. The sum is 7. |
| 7 | 5 | 2⁵ = 32, so x = 5. |
| 8 | 7.5 | The recipe uses 3/12 = 0.25 cups per cookie, so 30 cookies need 7.5 cups. |
| 9 | 14 | r² = 49, so r = 7. Circumference = 2πr = 14π, so k = 14. |
| 10 | 65 | The angles add up to 180°, so the third is 180 − 115 = 65. |
| 11 | 20 | The total is 6 × 14 = 84. The five known numbers add up to 64, so the sixth is 20. |
| 12 | 15 | The increase is 1,200. 1,200 ÷ 8,000 = 0.15, which is 15%. |
| 13 | 15 | 9² + 12² = 81 + 144 = 225, and the square root of 225 is 15. |
| 14 | x² + 6x + 9 | (x + 3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9. |
| 15 | 8 | It uses 3/90 gallons per mile. For 240 miles that is 240 ÷ 90 × 3 = 8. |
Tips for SAT math
- Read each question twice and underline what is being asked before you calculate.
- Plug an answer choice back into the equation when you are stuck on a multiple choice question.
- Know the square of a sum: (x + a)² = x² + 2ax + a².
Frequently asked questions
How many questions are on this test?
There are 15 questions. Most students need about 25 minutes, but there is no time limit.
Can I print this test?
Yes. Use the Print the test button for the questions and Print the answer key for the answers. The full question list and answer key are also on this page.
Does the test show the answers?
Yes. At the end you see the correct answer and an explanation for every question, and in practice mode you see them after each question.
Do I need an account?
No. There is no sign-up. Your best score is kept only in your own browser.
What should I do if I miss questions?
Look at the skills table on your result page, read the explanations for the questions you missed, and take the test again. If a step in your working looks wrong, the answer checker on this site can help you find the slip.