YOUR PSAT/NMSQT STUDY COMPANION

10 PSAT/NMSQT Math Practice Questions with Explanations

Try these 10 free PSAT/NMSQT math practice questions, then open each explanation to check your work. This Effortless Math skill set reviews equations, ratios, percentages, inequalities, and geometry. It is independent practice, not an official test or a complete digital PSAT simulation.

PSAT/NMSQT MATH ANSWERS EXPLAINED — original handwritten comic illustration.

Try these 10 free PSAT/NMSQT math practice questions, then open each explanation to check your work. This Effortless Math skill set reviews equations, ratios, percentages, inequalities, and geometry. It is independent practice, not an official test or a complete digital PSAT simulation.

Current math section and how to practice

College Board lists 44 math questions across two 35-minute modules. The four domains are Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. See College Board’s PSAT/NMSQT Math section overview for the current format and official practice path.

Choose an answer before opening its explanation. Write down the step that caused trouble: translating words, setting up a proportion, keeping a sign, or simplifying an expression. This short set does not cover every tested skill or predict a score.

Practice Quiz: Top 10 PSAT Math Practice Questions

Answer each question and press Submit to see your result right away.

1. What are the solutions of |2x − 5| = 9?
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2. A line passes through the points (1, 4) and (5, 16). What is its y-intercept?
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3. A town's population grew by 10% one year and by 20% the next year. By what total percent did the population grow over the two years?
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4. Odalys's recipe for spiced lentil soup uses 3 cups of broth for every 2 cups of lentils. How many cups of broth does she need for 7 cups of lentils?
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5. Tickets to a puppet show cost $8 for adults and $5 for children. A total of 40 tickets were sold for $263. How many adult tickets were sold?
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6. What are the x-intercepts of the graph of y = (x − 4)² − 9?
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7. Of 200 students, 120 play an instrument, and 45 of those also sing in the choir. If a student who plays an instrument is chosen at random, what is the probability that the student sings in the choir?
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8. If 3²ᵏ = 81, what is the value of k?
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9. A right triangle has legs of length 9 and 12. What is the sine of the angle opposite the leg of length 9?
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10. Which value of x satisfies 3(x − 2) ≤ x + 4?
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Answer each question and press Submit to see your result right away.

Review your misses and choose the next resource

Redo missed questions without looking at the solution. For broader practice, choose from the free PSAT math practice collection or use the PSAT Math hub to find worksheets, formulas, and topic review. Use official digital practice when you need to rehearse the testing interface and module format.

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