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 multi-step problems. The math test is divided into two sections, the first of which must be completed without a calculator.
Directions for Questions 1-15: Solve each problem and then select the best answer from the choices provided. Directions for Questions 16-20: 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
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?CorrectIncorrect
Question 2 of 20
Question 3 of 20
If the function ƒ(x) is defined for all real numbers by the following equation:
Then ƒ(ƒ(2)) =CorrectIncorrect
Question 4 of 20
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?CorrectIncorrect
Question 5 of 20
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 x-axis and to the right of the y-axis.
II. (x, −y) lies below the x-axis and to the left of the y-axis.
III. (x, y) lies on the x-axis to the right of the y-axis.CorrectIncorrect
Question 6 of 20
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?CorrectIncorrect
Question 7 of 20
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?CorrectIncorrect
Question 8 of 20
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 = ?CorrectIncorrect
Question 9 of 20
Question 10 of 20
Question 11 of 20
The average of several test scores is 80. One make-up exam was given. Included with the other scores, the new average was 84. If the score on the make-up exam was 92, how many total exams were given?CorrectIncorrect
Question 12 of 20
Question 13 of 20
In quadrilateral ABCD, what is the value of angle ADC if Angle BAD + Angle ABC + Angle BCD = 280?CorrectIncorrect
Question 14 of 20
Question 15 of 20
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
If x > 0, and x2 − 2x = 80, what is the value of x?CorrectIncorrect
Question 17 of 20
Question 18 of 20
Question 19 of 20
What is the value of x?CorrectIncorrect
Question 20 of 20
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?CorrectIncorrect