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NAEP study materials
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NAEP practice questions

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Question 1Reading

In a NAEP reading passage, a student is asked to identify the main idea of an informational article about honeybees. Which statement best describes what a main idea does?

  1. It states the central point the author develops across the whole passage. Correct answer.
  2. It describes the reader's personal reaction to the topic.
  3. It repeats the first sentence of the article word for word.
  4. It lists every supporting detail in the order the author presents them.

Explanation

A main idea is the central point an author develops and supports throughout a text, tying the details together. It is broader than any single supporting fact and is not simply a copied sentence or a reader's opinion.

Question 2Reading

A NAEP passage describes a character who quietly returns a lost wallet to its owner without telling anyone. The narrator notes that the character 'never mentioned it again.' Which inference about the character is best supported by this evidence?

  1. The character forgot what happened.
  2. The character is dishonest about money.
  3. The character dislikes the wallet's owner.
  4. The character prefers to act without seeking recognition. Correct answer.

Explanation

An inference must be supported by textual evidence. Returning the wallet and never mentioning it again suggests the character acts without seeking credit, which the details support.

Question 3Reading

In a NAEP reading task, a student must distinguish between a fact and an opinion in a persuasive essay. Which sentence from the essay is an opinion rather than a fact?

  1. The library is the most valuable resource in our community. Correct answer.
  2. The library is open six days a week.
  3. The library holds more than 40,000 books.
  4. The city opened the new library in March.

Explanation

An opinion expresses a judgment or evaluation that can be debated, such as calling something 'the most valuable.' Facts can be verified through observation or records.

Question 4Reading

A NAEP passage uses the word 'charged' in the sentence 'The room was charged with excitement before the performance.' What does 'charged' most likely mean in this context?

  1. Billed for a purchase
  2. Powered by electricity
  3. Accused of a crime
  4. Filled with strong emotion Correct answer.

Explanation

Context clues show that 'charged' describes the atmosphere before a performance, so it means filled with intense feeling. Word meaning depends on how the word functions in the sentence.

Question 5Reading

A NAEP reading question asks a student to identify the author's purpose in a travel brochure describing a seaside town. Which purpose is most consistent with the features of a brochure?

  1. To entertain readers with a fictional story
  2. To criticize the town's residents
  3. To persuade readers to visit the town Correct answer.
  4. To explain the history of all coastal towns

Explanation

A brochure is designed to promote a place and encourage readers to visit, so its purpose is persuasive. The features of the genre, such as attractive descriptions, support that purpose.

Question 6Reading

In a NAEP reading passage, a student reads a poem in which the speaker repeats the line 'the river remembers' at the end of each stanza. What is the most likely effect of this repetition?

  1. It signals that the poem is about to end abruptly.
  2. It emphasizes the river as a lasting presence in the poem. Correct answer.
  3. It shows that the poem has no clear subject.
  4. It proves the poem is based on a true event.

Explanation

Repetition of a line often emphasizes a key image or idea. Repeating 'the river remembers' draws attention to the river and gives it lasting significance.

Question 7Reading

A NAEP passage presents two articles about school start times. Article A argues that later start times improve student alertness, citing a sleep study. Article B argues that later start times disrupt bus schedules. A student must compare how the authors support their claims. Which statement best describes the difference in support?

  1. Article B relies on research data, while Article A relies on personal opinion.
  2. Both articles rely on the same sleep study to make their points.
  3. Article A relies on research data, while Article B relies on a practical scheduling concern. Correct answer.
  4. Neither article provides any support for its claim.

Explanation

Comparing texts requires identifying the kind of evidence each author uses. Article A cites a sleep study, while Article B raises a logistical concern about bus schedules.

Question 8Reading

A NAEP passage states: 'The scientist's findings were preliminary, so the team treated them with caution.' Using the context, what does 'preliminary' most nearly mean?

  1. Final and confirmed
  2. Extremely dangerous
  3. Completely unrelated
  4. Coming before full verification Correct answer.

Explanation

The clause 'so the team treated them with caution' signals that the findings are not yet fully established. 'Preliminary' therefore means early or not yet fully verified.

Question 9Reading

A NAEP reading task asks a student to trace how an author develops an argument across a passage. The author first states a claim, then presents a counterargument, and finally responds to it. What is the author mainly doing in the final part?

  1. Abandoning the original position
  2. Repeating the claim without any support
  3. Refuting the counterargument to strengthen the claim Correct answer.
  4. Introducing a completely new topic

Explanation

When an author raises a counterargument and then responds to it, the response is a rebuttal that defends and strengthens the original claim. Recognizing this structure helps readers follow the argument's development.

Question 10Reading

In a NAEP narrative passage, the narrator says: 'I smiled and told my brother the news was fine, then shut my door and stared at the wall.' What does this detail most suggest about the narrator?

  1. The narrator feels genuinely cheerful about the news.
  2. The narrator has forgotten the news entirely.
  3. The narrator is angry at the wall.
  4. The narrator is hiding distress behind a calm response. Correct answer.

Explanation

The contrast between the smile and the private act of shutting the door and staring at the wall suggests concealed distress. Readers infer character feelings by weighing actions against spoken words.

Question 11Reading

A NAEP passage includes the sentence: 'The wind clawed at the shutters all night.' What literary device does the author use, and what is its effect?

  1. Onomatopoeia, which imitates the sound of the wind
  2. Hyperbole, which exaggerates the size of the shutters
  3. Simile, which compares the wind to a claw using 'like' or 'as'
  4. Personification, which makes the wind seem aggressive and threatening Correct answer.

Explanation

Giving the wind the human or animal action of 'clawing' is personification. It creates a menacing tone by making the wind seem alive and aggressive.

Question 12Reading

A NAEP reading question asks a student to evaluate whether a source is reliable for a report on nutrition. Which source is most reliable for that purpose?

  1. An anonymous post on a cooking forum
  2. A peer-reviewed study published in a medical journal Correct answer.
  3. A comment under a recipe video
  4. A promotional flyer from a supplement company

Explanation

Reliability depends on expertise, review, and accountability. A peer-reviewed medical journal article is evaluated by experts before publication, making it the strongest source for a nutrition report.

Question 13Reading

In a NAEP passage, an author writes: 'Cities should invest in public parks. Parks improve air quality, provide space for exercise, and bring neighbors together.' How is the passage organized?

  1. A comparison of two unrelated cities
  2. A sequence of events in time order
  3. A claim followed by supporting reasons Correct answer.
  4. A problem with no proposed solution

Explanation

The first sentence states a claim, and the following sentences give reasons that support it. This claim-and-support structure is common in persuasive texts.

Question 14Reading

A NAEP reading task asks a student to summarize a passage. Which statement best describes a strong summary?

  1. It adds the reader's new opinions about the topic.
  2. It focuses on one minor detail from the middle of the passage.
  3. It includes the most important ideas stated briefly in the reader's own words. Correct answer.
  4. It copies several long sentences directly from the passage.

Explanation

A strong summary captures the central ideas concisely and restates them in the reader's own words. It avoids copying and leaves out minor details and personal opinion.

Question 15Reading

A NAEP passage contains the sentence: 'Unlike her outgoing sister, Maya preferred solitary activities such as reading and sketching.' What does the contrast in this sentence help readers understand about Maya?

  1. Maya is older than her sister.
  2. Maya is more reserved than her sister. Correct answer.
  3. Maya dislikes her sister.
  4. Maya is more athletic than her sister.

Explanation

The word 'unlike' signals a contrast, and the details about solitary activities show Maya is more reserved than her outgoing sister. Contrast clues help readers infer traits.

Question 16Reading

A NAEP reading question asks a student to analyze how an author's choice of words shapes tone. In a passage about a struggling team, the author writes that the players 'dragged themselves onto the field.' Which word best describes the tone this phrase creates?

  1. Weary Correct answer.
  2. Joyful
  3. Triumphant
  4. Humorous

Explanation

The verb 'dragged' suggests heaviness and exhaustion, creating a weary tone. Word choice is a primary way authors shape the mood and tone of a passage.

Question 17Reading

A NAEP passage contains the sentence: 'Although the trail was steep, the hikers reached the summit before noon.' What is the function of the word 'Although' in this sentence?

  1. It signals a contrast between difficulty and success. Correct answer.
  2. It introduces a direct quotation.
  3. It lists items in a series.
  4. It shows a cause-and-effect relationship.

Explanation

'Although' is a subordinating conjunction that introduces a contrast: the trail was steep, yet the hikers still succeeded. Recognizing signal words helps readers follow relationships between ideas.

Question 18Reading

A NAEP reading task presents an author who writes: 'Some say homework should be eliminated entirely. However, a moderate amount of practice at home reinforces classroom learning.' How does the author use the first sentence?

  1. To state the author's own final position
  2. To provide statistical evidence for the claim
  3. To acknowledge an opposing view before rebutting it Correct answer.
  4. To introduce a completely unrelated topic

Explanation

The phrase 'Some say' introduces an opposing viewpoint, and 'However' signals that the author will rebut it. Acknowledging a counterargument before responding is a common persuasive strategy.

Question 19Reading

A NAEP passage includes two accounts of the same event. Account 1 is written by a participant, and Account 2 is written by a historian years later. Which statement best explains why the accounts may differ?

  1. The two accounts cannot be compared because they describe different events.
  2. The participant's account is always more accurate than the historian's.
  3. The historian's account must be false because it was written later.
  4. The participant may emphasize personal experience, while the historian may emphasize broader context. Correct answer.

Explanation

Point of view and purpose shape how an event is described. A participant often focuses on personal experience, while a historian may synthesize evidence and provide broader context.

Question 20Reading

A NAEP reading question asks a student to determine an author's implicit point of view. The author writes: 'Anyone who has ever waited hours in a crowded emergency room understands why reform is needed.' What assumption does this statement rely on?

  1. That reform has already been completed
  2. That readers have experienced or can imagine the frustration of long waits Correct answer.
  3. That emergency rooms are never crowded
  4. That readers disagree with the author's position

Explanation

The phrase 'anyone who has ever waited' invites readers to draw on personal experience or empathy to agree with the author. This appeal assumes readers can relate to the frustration described.

Question 21Mathematics

A shirt originally priced at $40 is discounted by 25%. What is the sale price?

  1. $10
  2. $32
  3. $30 Correct answer.
  4. $35

Explanation

A 25% discount removes one quarter of the price, so the reduction is 0.25 × 40 = $10. Subtracting gives 40 − 10 = $30. Equivalently, the buyer pays 75% of the price: 0.75 × 40 = $30.

Question 22Mathematics

Which number is equivalent to 3/8?

  1. 0.375 Correct answer.
  2. 2.667
  3. 0.267
  4. 0.38

Explanation

Dividing 3 by 8 gives exactly 0.375, since 8 × 0.375 = 3. The decimal terminates after three places. Rounding to 0.38 changes the value.

Question 23Mathematics

A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?

  1. 17 cm
  2. 34 cm Correct answer.
  3. 60 cm
  4. 30 cm

Explanation

The perimeter of a rectangle is 2(length + width). Here 2(12 + 5) = 2 × 17 = 34 cm. The value 60 cm would be the area, not the distance around the figure.

Question 24Mathematics

What is the value of 2^5?

  1. 10
  2. 25
  3. 64
  4. 32 Correct answer.

Explanation

The exponent 5 means multiply five factors of 2: 2 × 2 × 2 × 2 × 2 = 32. Multiplying the base by the exponent (2 × 5 = 10) is a common error but not how exponents work.

Question 25Mathematics

Which value is the median of the data set 4, 9, 7, 12, 15, 6?

  1. 8 Correct answer.
  2. 7.5
  3. 7
  4. 9

Explanation

Ordering the six values gives 4, 6, 7, 9, 12, 15. With an even count, the median is the mean of the two middle values: (7 + 9) ÷ 2 = 8. The median need not be one of the data values.

Question 26Mathematics

A bag contains 5 red marbles and 15 blue marbles. If one marble is drawn at random, what is the probability that it is red?

  1. 3/4
  2. 1/3
  3. 1/5
  4. 1/4 Correct answer.

Explanation

There are 5 red marbles out of 20 total, giving 5/20. Simplifying by dividing numerator and denominator by 5 yields 1/4.

Question 27Mathematics

A recipe uses 3 cups of flour for every 2 cups of sugar. If a baker uses 12 cups of flour, how many cups of sugar are needed to keep the same ratio?

  1. 8 Correct answer.
  2. 9
  3. 6
  4. 18

Explanation

Set up the proportion 3/2 = 12/x. Since 12 is 4 times 3, the sugar must be 4 times 2, which is 8 cups. Cross-multiplying gives 3x = 24, so x = 8.

Question 28Mathematics

Simplify the expression 4(2x − 3) + 5x.

  1. 8x − 12
  2. 3x − 12
  3. 13x + 12
  4. 13x − 12 Correct answer.

Explanation

Distributing 4 gives 8x − 12, and adding 5x combines like terms to 13x − 12. Only the x-terms combine; the constant stays separate.

Question 29Mathematics

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

  1. 28
  2. 10 Correct answer.
  3. 14
  4. 48

Explanation

The Pythagorean theorem states a² + b² = c². Here 36 + 64 = 100, and the square root of 100 is 10.

Question 30Mathematics

What is the slope of the line passing through the points (2, 3) and (6, 11)?

  1. 1/2
  2. 4
  3. 8
  4. 2 Correct answer.

Explanation

Slope equals the change in y divided by the change in x: (11 − 3)/(6 − 2) = 8/4 = 2. The line rises 2 units for every 1 unit to the right.

Question 31Mathematics

A cube has an edge length of 4 cm. What is its volume?

  1. 64 cm³ Correct answer.
  2. 48 cm³
  3. 16 cm³
  4. 96 cm³

Explanation

The volume of a cube is the edge length cubed: 4 × 4 × 4 = 64 cm³. Volume is measured in cubic units because three dimensions are multiplied.

Question 32Mathematics

Solve for x: 3x + 7 = 22.

  1. 3
  2. 15
  3. 7
  4. 5 Correct answer.

Explanation

Subtract 7 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5. Checking: 3(5) + 7 = 22.

Question 33Mathematics

The area of a circle is 49π square units. What is its radius?

  1. 14 units
  2. 7 units Correct answer.
  3. 49 units
  4. 24.5 units

Explanation

The area formula is A = πr². Setting πr² = 49π gives r² = 49, so r = 7. The radius must be positive.

Question 34Mathematics

A number is increased by 20% and the result is then decreased by 20%. Compared with the original number, the final result is:

  1. 20% less than the original
  2. 4% less than the original Correct answer.
  3. 4% more than the original
  4. equal to the original

Explanation

Increasing by 20% multiplies by 1.20, and decreasing by 20% multiplies by 0.80. The product 1.20 × 0.80 = 0.96, which is 4% below the original. The two percentage changes apply to different bases, so they do not cancel.

Question 35Mathematics

Which expression is equivalent to (x + 3)(x − 5)?

  1. x² − 15
  2. x² + 2x − 15
  3. x² − 8x − 15
  4. x² − 2x − 15 Correct answer.

Explanation

Using FOIL: x·x = x², x·(−5) = −5x, 3·x = 3x, and 3·(−5) = −15. Combining −5x + 3x gives −2x, so the product is x² − 2x − 15.

Question 36Mathematics

A sequence begins 2, 6, 12, 20, 30, ... If the pattern continues, what is the next term?

  1. 40
  2. 44
  3. 36
  4. 42 Correct answer.

Explanation

The differences between consecutive terms are 4, 6, 8, 10, increasing by 2 each time. The next difference is 12, so 30 + 12 = 42. Each term also equals n(n + 1) for n = 1, 2, 3, ...

Question 37Mathematics

A cylindrical tank has a radius of 3 m and a height of 10 m. Using π ≈ 3.14, what is the approximate volume?

  1. 94.2 m³
  2. 188.4 m³
  3. 31.4 m³
  4. 282.6 m³ Correct answer.

Explanation

The volume of a cylinder is πr²h. Here r² = 9, so 3.14 × 9 × 10 = 282.6 m³. The squared radius must be used, not the radius itself.

Question 38Mathematics

The function f is defined by f(x) = 2x² − 3x + 1. What is f(−2)?

  1. 3
  2. 15 Correct answer.
  3. −1
  4. 11

Explanation

Substitute −2 for every x: 2(−2)² − 3(−2) + 1 = 2(4) + 6 + 1. Since (−2)² = 4 and −3 × −2 = 6, the total is 8 + 6 + 1 = 15.

Question 39Mathematics

Two systems are graphed in the coordinate plane. Line p passes through (0, 4) and (4, 0); line q passes through (0, 0) and (4, 4). What is the solution to the system formed by p and q?

  1. (4, 0)
  2. (0, 4)
  3. (2, 2) Correct answer.
  4. (0, 0)

Explanation

Line p has slope (0 − 4)/(4 − 0) = −1 and equation y = −x + 4. Line q has slope 1 and equation y = x. Setting x = −x + 4 gives 2x = 4, so x = 2 and y = 2.

Question 40Mathematics

A data set has a mean of 50 and a standard deviation of 5. If every value in the data set is multiplied by 3, what are the new mean and standard deviation?

  1. Mean 53, standard deviation 8
  2. Mean 50, standard deviation 15
  3. Mean 150, standard deviation 15 Correct answer.
  4. Mean 150, standard deviation 5

Explanation

Multiplying every value by 3 multiplies the mean by 3, giving 150. The spread also scales by 3, so the standard deviation becomes 15, since standard deviation measures distance from the mean in the original units.

Question 41Science

A student places a clear glass of water in sunlight and observes a rainbow pattern on the wall. Which property of light best explains this observation?

  1. Light travels in straight lines through all materials.
  2. White light is a mixture of colors that can be separated by refraction. Correct answer.
  3. Light loses energy as it passes through glass.
  4. Light is absorbed by water and re-emitted as colored light.

Explanation

White light contains many wavelengths, and when it passes from air into water the different wavelengths bend by different amounts. This separation of wavelengths produces the visible spectrum, which is what creates the rainbow pattern. The glass and water refract rather than absorb-and-re-emit light.

Question 42Science

Which statement best describes the role of decomposers in an ecosystem?

  1. They store carbon permanently in fossil fuels.
  2. They convert sunlight into chemical energy for producers.
  3. They consume living prey to control population sizes.
  4. They break down dead organisms and return nutrients to the soil. Correct answer.

Explanation

Decomposers such as fungi and bacteria break down dead organic matter, releasing nutrients like nitrogen and carbon back into the environment. These recycled nutrients are then available to producers, completing nutrient cycles. They do not perform photosynthesis or act as top predators.

Question 43Science

A ball is dropped from a height and falls freely. Ignoring air resistance, what happens to its speed as it falls?

  1. It decreases as the ball approaches the ground.
  2. It stays constant throughout the fall.
  3. It increases, then decreases before landing.
  4. It increases at a steady rate. Correct answer.

Explanation

Gravity exerts a constant downward force, giving the ball a constant acceleration. Because acceleration is constant, the speed increases by the same amount each second, producing a steady rate of increase. Air resistance is ignored, so no opposing force slows it.

Question 44Science

Which of these is the best evidence that a chemical change has occurred?

  1. A solid dissolves in water and forms a clear solution.
  2. A new gas forms with a different smell from the reactants. Correct answer.
  3. A substance melts into a liquid when heated.
  4. A liquid is poured from one container to another.

Explanation

A chemical change produces new substances with different properties from the reactants. The appearance of a new gas with a different odor indicates a new product has formed. Dissolving, melting, and pouring are physical changes that do not create new substances.

Question 45Science

Which structure is found in plant cells but not in animal cells?

  1. Cell membrane
  2. Nucleus
  3. Mitochondrion
  4. Chloroplast Correct answer.

Explanation

Chloroplasts carry out photosynthesis and contain chlorophyll, and they occur in plant cells but not animal cells. Cell membranes, mitochondria, and nuclei are found in both plant and animal cells. This makes chloroplasts the distinguishing structure among the choices.

Question 46Science

A rock sample contains fossils of shells that are now found high on a mountain. What is the most reasonable inference?

  1. The shells were carried uphill by wind.
  2. The rock was formed from volcanic lava.
  3. The fossils formed after the mountain rose.
  4. The area was once covered by water. Correct answer.

Explanation

Marine shells form in water, so finding them high on a mountain suggests the area was once underwater and later uplifted. This is a standard inference in geology based on the principle that organisms live where conditions suit them. Wind cannot carry shells to such heights, and lava does not contain shell fossils.

Question 47Science

A student wants to test whether fertilizer affects plant growth. Which is the best controlled experiment?

  1. Give all plants fertilizer and measure their heights daily.
  2. Place one plant in sunlight and another in shade, both with fertilizer.
  3. Add different amounts of fertilizer to several plants and observe them.
  4. Water one plant with fertilizer and give another only water, keeping all else the same. Correct answer.

Explanation

A controlled experiment changes only one variable, the amount of fertilizer, while holding light, water, and soil constant. This isolates the effect of fertilizer on growth. Changing multiple factors at once prevents attributing results to any single cause.

Question 48Science

Water droplets form on the outside of a cold glass on a warm day. Which process explains this?

  1. The glass absorbs water from the air.
  2. Water leaks through the glass from the inside.
  3. Water vapor in the air condenses on the cold surface. Correct answer.
  4. The cold glass melts and releases water.

Explanation

Warm air contains water vapor that cools when it contacts the cold glass. As the vapor cools, it condenses into liquid droplets on the surface. This is a change of state driven by temperature, not a leak or absorption.

Question 49Science

In a simple circuit, a battery, a switch, and a light bulb are connected in series. What happens when the switch is opened?

  1. The bulb flickers but stays lit.
  2. The battery reverses its polarity.
  3. The bulb becomes brighter.
  4. The bulb goes out because the circuit is broken. Correct answer.

Explanation

Opening a series switch breaks the continuous path, so current cannot flow and the bulb goes out. A complete conducting loop is required for current. Without current, no energy is delivered to the bulb.

Question 50Science

A population of rabbits and a population of foxes live in the same area. If the rabbit population suddenly decreases, what is the most likely short-term effect on the foxes?

  1. The fox population will migrate to the ocean.
  2. The fox population will be unaffected.
  3. The fox population will decrease due to less food. Correct answer.
  4. The fox population will increase due to less competition.

Explanation

Foxes depend on rabbits for food, so a drop in prey reduces the food available to foxes. With less food, fewer foxes can survive and reproduce, so the fox population likely decreases. This reflects predator-prey dependence in a food web.