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PSAT/NMSQT Math Practice Worksheets & Answer Key

Download an 8-question PSAT/NMSQT Math worksheet with a separate answer and explanation section. The selected text questions work without a screen or an account.

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

What this collection covers

Digital PSAT/NMSQT Math foundations.

This fixed sample includes one question per selected skill before additional families. Questions requiring a separate diagram are excluded from this text worksheet. It is an untimed study resource with working space, rather than an official mock examination.

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.

Inside the printable worksheet

8 original questionsSeparate explanationsUS Letter · PDF · Version 2026-10-27

Print the question section first. Keep the answer section separate until you have written your method or reason. Use the linked lessons to review a missed idea, then start a new set in the practice tool.

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Questions included in this PDF

QUESTION 1 · Translate a linear relationship

A school newspaper has 10 subscribers before a campaign. Each classroom visit adds 4 subscribers. After 6 visits, how many subscribers does the model predict?

  1. 84
  2. 34
  3. 240
  4. 24
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Answer: 34

  1. The campaign adds the same count at each visit.
  2. Multiply the per-visit gain by six, then add the initial count.
  3. The requested value is 34.
Review the lesson
QUESTION 2 · Read a quadratic feature

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

  1. 12
  2. 7
  3. -2
  4. 35
Read the answer and explanation

Answer: 12

  1. Set each factor equal to zero to obtain the two roots.
  2. Subtract the negative root from the positive root to get their distance.
  3. The requested value is 12.
Review the lesson
QUESTION 3 · Percentages with a clear base

A reading group completes 6 of its 20 planned books. What percentage of the plan has it completed?

  1. 120
  2. 3/10
  3. 30
  4. 70
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Answer: 30

  1. Use the planned count as the whole.
  2. Divide completed books by the whole and multiply by one hundred.
  3. The requested value is 30.
Review the lesson
QUESTION 4 · Measure areas and volumes

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

  1. 36
  2. 16
  3. 81
  4. 56
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Answer: 56

  1. Find the outer square area and the pond area separately.
  2. Subtract the pond from the entire garden.
  3. The requested value is 56.
Review the lesson
QUESTION 5 · Connect tables and equations

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

  1. 37
  2. 82
  3. 42
  4. 32
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Answer: 32

  1. Compute the change per input unit using the two known points.
  2. Move five input units from the first point using that same rate.
  3. The requested value is 32.
Review the lesson
QUESTION 6 · Exponents and nonlinear rules

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

  1. 63
  2. 189
  3. 16
  4. 21
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Answer: 189

  1. There are three complete growth periods.
  2. Multiply the initial count by three raised to the third power.
  3. The requested value is 189.
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QUESTION 7 · Ratios with visible units

A mural uses blue and white paint in a 2:3 volume ratio. If the total is 30 liters, how many liters are blue?

  1. 12
  2. 20
  3. 18
  4. 6
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Answer: 12

  1. The total consists of five ratio parts.
  2. Blue accounts for two of those five parts.
  3. The requested value is 12.
Review the lesson
QUESTION 8 · Angles, similarity and right triangles

Two angles in a triangle measure 37° and 54°. What is the third angle in degrees?

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Answer: 89

  1. The three interior angles sum to 180 degrees.
  2. Subtract both known angles from that total.
  3. The requested value is 89.
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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