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RECALL, THEN CHECK

PSAT/NMSQT Math Flashcards & Study Review

Read 12 sample cards from the 80-card PSAT/NMSQT Math foundation collection. Try recalling each answer before checking the explanation.

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Version 2026-10-27 · Original foundation materials · No sign-up

What this collection covers

Digital PSAT/NMSQT Math foundations.

The cards preview selected ideas; they do not measure readiness for the whole examination. Your personal review schedule is available in the review tool.

Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.

Sample flashcards, with answers

CARD 01 · Algebra

A school newspaper has 11 subscribers before a campaign. Each classroom visit adds 5 subscribers. After 6 visits, how many subscribers does the model predict?

Answer & explanation

41. The campaign adds the same count at each visit.

Learn: Translate a linear relationship
CARD 02 · Advanced Math

The function q(x) = (x − 5)(x + 7) has two zeros. What is their distance on the number line?

Answer & explanation

12. Set each factor equal to zero to obtain the two roots.

Learn: Read a quadratic feature
CARD 03 · Problem-Solving and Data Analysis

A reading group completes 5 of its 20 planned books. What percentage of the plan has it completed?

Answer & explanation

25. Use the planned count as the whole.

Learn: Percentages with a clear base
CARD 04 · Geometry and Trigonometry

A square garden has side 9 meters. A square pond inside it has side 5 meters. How many square meters remain outside the pond?

Answer & explanation

56. Find the outer square area and the pond area separately.

Learn: Measure areas and volumes
CARD 05 · Algebra

A linear function satisfies f(1) = 7 and f(4) = 22. What is f(6)?

Answer & explanation

32. Compute the change per input unit using the two known points.

Learn: Connect tables and equations
CARD 06 · Advanced Math

A culture starts with 7 cells in a model and triples every hour. How many cells does the model predict after 3 hours?

Answer & explanation

189. There are three complete growth periods.

Learn: Exponents and nonlinear rules
CARD 07 · Problem-Solving and Data Analysis

A mural uses blue and white paint in a 2:3 volume ratio. If the total is 25 liters, how many liters are blue?

Answer & explanation

10. The total consists of five ratio parts.

Learn: Ratios with visible units
CARD 08 · Geometry and Trigonometry

Two angles in a triangle measure 35° and 50°. What is the third angle in degrees?

Answer & explanation

95. The three interior angles sum to 180 degrees.

Learn: Angles, similarity and right triangles
CARD 09 · Algebra

A cafeteria sold 15 lunches, each either soup or pasta. Pasta lunches numbered twice the soup lunches. How many pasta lunches were sold?

Answer & explanation

10. Represent soup by s and pasta by 2s.

Learn: Use two conditions together
CARD 11 · Problem-Solving and Data Analysis

The mean of four measurements is 11. Three measurements are 5, 9 and 13. What is the fourth?

Answer & explanation

17. Multiply the mean by four to recover the total.

Learn: Summarize and interpret data

Use the cards as a recall routine

  1. Read the prompt and explain your answer before looking below it.
  2. Compare your reasoning with the saved answer, then revisit the linked lesson if a distinction is unclear.
  3. Use the spaced-review tool to schedule another attempt; its personal state stays in your browser.

Sources and preparation route

These prompts and explanations are the site's original learning materials. The reference links below support the selected skills; they are not endorsements or official examination questions.

Follow the study guide Exam scope and official references