Below is our free SAT Math practice test that is fully updated for the new 2016 SAT. The new SAT Math test focuses on real world math problems, including the types of problems you may need to know for college courses, careers, and your personal life. There is also an emphasis on multistep problems. The math test is divided into two sections, the first of which must be completed without a calculator.
Directions for Questions 115: Solve each problem and then select the best answer from the choices provided. Directions for Questions 1620: Solve each problem and then type in the correct answer. Use the forward slash symbol ( / ) for fractions.
SAT Math Practice Test  No Calculator
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Question 1 of 20
1. Question
In a certain coffee shop, X lattes were sold each hour for 6 hours on Monday, and Y americanos were sold each hour for 7 hours on Monday. What expression represents the total number of lattes and americanos that were sold by the coffee shop on Monday?
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Question 2 of 20
2. Question
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Question 3 of 20
3. Question
If the function ƒ(x) is defined for all real numbers by the following equation:
Then ƒ(ƒ(2)) =CorrectIncorrect 
Question 4 of 20
4. Question
If a car averages 36.8 miles per gallon of gasoline, approximately how many kilometers per liter of gasoline does the car average if 1 gallon = 3.8 liters and 1 mile = 1.6 kilometers?
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Question 5 of 20
5. Question
If the product of x and y does not equal zero, which of the following could be true based on the figure above?I. (−x, y) lies above the xaxis and to the right of the yaxis.
II. (x, −y) lies below the xaxis and to the left of the yaxis.
III. (x, y) lies on the xaxis to the right of the yaxis.CorrectIncorrect 
Question 6 of 20
6. Question
2x + 4y = 16
3x − 6y = 12
If (x,y) is a solution to the system of equations above, what is the value of x + y?
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Question 7 of 20
7. Question
If Eric was 22 years old x years ago and Shelley will be 24 years old in y years, what was the average of their ages 4 years ago?
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Question 8 of 20
8. Question
In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6,y) and (x,12) are on line m, then y − x = ?
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Question 9 of 20
9. Question
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Question 10 of 20
10. Question
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Question 11 of 20
11. Question
The average of several test scores is 80. One makeup exam was given. Included with the other scores, the new average was 84. If the score on the makeup exam was 92, how many total exams were given?
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Question 12 of 20
12. Question
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Question 13 of 20
13. Question
In quadrilateral ABCD, what is the value of angle ADC if Angle BAD + Angle ABC + Angle BCD = 280?
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Question 14 of 20
14. Question
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Question 15 of 20
15. Question
Point A lies between X and Y. Point B lies on YZ and Point C lies on XZ. BZ is congruent to CZ, and angle XYZ = 90. XZ – CZ = XA. What is the value of angle ACB?CorrectIncorrect 
Question 16 of 20
16. Question
If x > 0, and x^{2} − 2x = 80, what is the value of x?
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Question 17 of 20
17. Question
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Question 18 of 20
18. Question
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Question 19 of 20
19. Question
What is the value of x?CorrectIncorrect 
Question 20 of 20
20. Question
An English professor gave the same exam to three groups of students. The average (arithmetic mean) scores for the three groups were 36, 60, and 84. The ratio of the numbers of students in each group who took the test was 2 to 3 to 5. What was the average score for the three groups combined?
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