When working through the questions in the no-calculator section of the SAT Math test, you will answer questions on:

Basic math, including fractions, decimals, percentages, and ratios 
Algebra, including linear equations, coordinate geometry, and quadratic equations 
Geometry, which covers both basic shapes and three-dimensional solids
Word problems, including rate of travel, averages, probability, and equation setup 
Tables and graphs, including data analysis

SAT Math Practice Test (No-Calculator Section)

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25 Questions

1. Observe this: , where q is the number of quizzes and d is the number of days she has worked that week.
If two students were to join her class, which of the following equations would show the revised number of quizzes left to grade each day?

3. A furniture builder will build a number of identical tables. The builder’s fee can be calculated by the expression tklw, where t is the number of tables, k is the cost of material per square foot, l is the length of each table, and w is the width of each table. If the customer asks the builder to make the tables shorter and wider, which of the factors in the expression would change?

t and k and l and k and l

4. In a certain isosceles triangle, if one angle measures , what is the measure of one of the other two angles?

5. In the xy-plane, at what two points does the parabola with the equation cross the x-axis?

–6, –1–2, 31, 6–3, 3

6. Each week, Eric collects d daisies, of which he gives s to his sister and keeps the rest for himself.
Which of the following expressions represents the total number of daisies that Eric keeps for himself over the course of w weeks?

7. Susan is a high school math teacher. Each week, she receives 8 quizzes to grade from each of s students. Assuming each week begins with no quizzes left over from the previous week, the number of quizzes that she has left to grade at the end of each day can be estimated with the equation , where q is the number of quizzes and d is the number of days she has worked that week.
What is the meaning of the 10 in the equation?

The number of studentsThe number of quizzes Susan grades per dayThe number of days it will take Susan to finish the quizzesThe number of quizzes Susan has left to grade

8. If and , what is the value of x?

1410128

9. Observe this: , what is the value of ?

25806015

11. If , what is ?

12. If , what is the value of ?

8325

13. During each of the last 3 baseball games, Joe hit d doubles and h home runs. Which of the following expressions represents the total number of doubles and home runs that Joe hit during these 3 baseball games?

i

14. The function f is defined by a polynomial. Some values of x and are shown in the table. What is the value of ?

35210

15. Which of the following is equal to ?

39

16. For , what is the value of ?

17. Given this system of equations, what is the value of y?

5743

18. Each week, Eric collects d daisies, of which he gives s to his sister and keeps the rest for himself.
Which of the following expressions represents the total number of daisies that Eric gives to his sister over the course of w weeks?

19. What are the solutions to the equation ?

0, 2, 30, 1, 2–3, –2, 0–2, –1, 0

20. Which of the following is equivalent to this expression, where ?

–300

21. If , what is ?

17371534

22. Based on this system of equations, what is the value of ?

7352

23. If , what is the value of x?

–2–11–5–10

24. In a certain isosceles triangle, if one angle measures , which could be the measure of any of the other angles?

I, II, or IIII or III or IIIII or III

25. In this equation, where k is a constant, what is the value of k?

5342