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Delaware State Assessments · PSAT · Grade 10

Delaware PSAT Practice Test: Grade 10

Build Grade 10 Delaware PSAT readiness with five focused 10-question practice sets covering reading, writing, algebra, functions, geometry, data analysis, problem solving, and evidence.

Grade 10 PSAT practice sets

This Delaware PSAT Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover reading evidence, writing and language, algebra, functions, geometry, data analysis, problem solving, and integrated review.

Skills covered

  • Reading and evidence: central ideas, inferences, evidence selection, text structure, vocabulary, competing explanations, graphs, paired passages, limitations, and transitions
  • Writing and language: agreement, modifier placement, punctuation, transitions, sentence combination, pronoun clarity, concision, sentence placement, and conclusions
  • Math: linear equations, functions, slope, systems, percent, inequalities, quadratics, exponential models, ratios, expressions, geometry, probability, statistics, regression, and volume
  • Integrated review: evidence-based claims, grammar in context, linear models, data changes, area, probability, savings, functions, correlation, and revision

How to use this page

Complete one 10-question set at a time. For reading and writing, identify the evidence or revision rule. For math, write the equation, check units, and review the explanation after each response.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current College Board, Delaware Department of Education, official PSAT materials, accommodations, or testing policies.

For the Delaware assessment hub, visit Delaware State Assessments.

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Delaware PSAT Grade 10 Practice Questions

A 10-question Delaware PSAT Grade 10 practice set on math problem solving and data, with answers and explanations.

Read each passage or problem carefully, choose one answer, and review the explanation after responding.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A triangle has a base of 14 and a height of 9. What is its area?

Please select an answer first.

Correct answer: A

The correct answer is 63.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Area equals one half times base times height: one half times 14 times 9 equals 63.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Area equals one half times base times height: one half times 14 times 9 equals 63.

2. QuestionMultiple choice

A circle has diameter 10. Which expression represents its circumference?

Please select an answer first.

Correct answer: B

The correct answer is 5 pi.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Circumference equals pi times diameter, so it is 10 pi.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Circumference equals pi times diameter, so it is 10 pi.

3. QuestionMultiple choice

A right triangle has legs of 5 and 12. What is the hypotenuse?

Please select an answer first.

Correct answer: C

The correct answer is 13.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: The hypotenuse squared is 25 plus 144, or 169, so the hypotenuse is 13.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

The hypotenuse squared is 25 plus 144, or 169, so the hypotenuse is 13.

4. QuestionMultiple choice

What is the median of 5, 7, 9, 12, and 20?

Please select an answer first.

Correct answer: D

The correct answer is 7.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: The ordered middle value is 9.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

The ordered middle value is 9.

5. QuestionMultiple choice

A box contains 2 red, 3 blue, and 5 green tiles. What is the probability of selecting a blue tile?

Please select an answer first.

Correct answer: A

The correct answer is 3 over 10.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: There are 3 blue tiles out of 10 total, so the probability is 3 over 10.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

There are 3 blue tiles out of 10 total, so the probability is 3 over 10.

6. QuestionMultiple choice

A data set has a mean of 18. If every value increases by 4, what is the new mean?

Please select an answer first.

Correct answer: B

The correct answer is 18.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Adding 4 to every value also adds 4 to the mean, so the new mean is 22.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Adding 4 to every value also adds 4 to the mean, so the new mean is 22.

7. QuestionMultiple choice

A line of best fit is y equals 4x plus 12. What is the predicted value of y when x equals 6?

Please select an answer first.

Correct answer: C

The correct answer is 24.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Substitute 6: 4 times 6 plus 12 equals 36.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Substitute 6: 4 times 6 plus 12 equals 36.

8. QuestionMultiple choice

A quantity falls from 250 to 200. What is the percent decrease?

Please select an answer first.

Correct answer: D

The correct answer is 20 percent.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: The decrease is 50, and 50 divided by 250 equals 0.20, or 20 percent.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

The decrease is 50, and 50 divided by 250 equals 0.20, or 20 percent.

9. QuestionMultiple choice

What is the volume of a rectangular prism with dimensions 2, 6, and 9?

Please select an answer first.

Correct answer: A

The correct answer is 108.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Volume equals 2 times 6 times 9, which is 108 cubic units.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Volume equals 2 times 6 times 9, which is 108 cubic units.

10. QuestionMultiple choice

A survey of 400 students finds that 35 percent walk to school. Which estimate is reasonable for 2,000 students with similar characteristics?

Please select an answer first.

Correct answer: B

The correct answer is 700 students.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Thirty-five percent of 2,000 equals 700.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Thirty-five percent of 2,000 equals 700.

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Frequently asked questions about Delaware PSAT Practice

Which grade is covered?

This page is organized for Grade 10 Delaware PSAT practice, with reading, writing, math, data, and evidence-based review.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official PSAT questions?

No. These are original supplemental practice questions. Check the latest College Board and Delaware Department of Education information for current materials, accommodations, and policies.