Iowa Assessments Practice Questions (2026) — Free Sample Questions with Answers

15 free Iowa Assessments questions from our 150-question bank, grouped by content domain. Each answer explains why the right option is right — and why every wrong option is wrong.

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Reading

Question 1

Which conclusion is best supported by paragraphs 2 and 3 together?

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Answer: C

The frog's body never drops below freezing.: Paragraph 3 says ice forms as the temperature drops below freezing, so the frog does get that cold.

No ice can form anywhere inside the frog.: Ice does form — between the cells and in the body cavity.

The frog lives because the ice stays outside its cells.: Correct. Paragraph 2 says ice is deadly because it damages cells; paragraph 3 says the wood frog keeps ice out of its cells. Together they explain its survival — Key Ideas: Connect or extend ideas.

The sugar melts the ice as fast as it forms.: Misreads the antifreeze comparison: sugar lowers the freezing point inside the cells; it does not melt the ice outside them.

Connect the problem (paragraph 2: ice damages cells) to the solution (paragraph 3: ice is kept outside the cells); a conclusion must be supported by both.

Question 2

Which statement best expresses a theme of the passage?

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Answer: C

Older ways of doing things are always better than new ones.: Too extreme: both Delia and her uncle call it a good bridge, and she says she will be glad to use it.

Young people should learn the family trade before it disappears.: Delia steers once, but the story never suggests she should become a ferry pilot.

Progress can bring real benefits and still cost something worth remembering.: Correct. Delia will be "glad" to use the good bridge, yet she sees that some things — the riders, the stories, the mornings with her uncle — cannot cross with it — Key Ideas: Identify central ideas and their support.

Hard work is more satisfying than speed and convenience.: The ferry is slow, but the story is about the people and memories it carries, not about hard work.

A theme must fit the whole story, including the ending; Delia's last paragraph holds both her gladness about the bridge and what she has learned.

Written Expression

Question 3

Where should sentence 3 be placed?

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Answer: D

After sentence 1: Sentence 1 mentions only the 5:00 closing; no new hours have been proposed for "those hours" to refer to.

After sentence 4: It would interrupt the point about computers and printers in sentences 4 and 5.

After sentence 6: Sentence 6 shows why students need the library, not how extra hours could be staffed.

After sentence 9: Correct. "Those hours" refers to the evening hours proposed in sentence 9, and the volunteers answer the cost worry in sentence 8 — Planning & Organization: Order of ideas.

A sentence that refers back ("those hours") must come after the sentence that introduces what it refers to.

Question 4

Look for a mistake in usage or expression. If there is no mistake, choose No mistakes.

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Answer: B

Before the hike, Ms. Delgado checked: The comma correctly ends the introductory phrase.

the weather, the forecast called for rain,: Correct. Two complete sentences are joined with only a comma (a comma splice). Corrected line: "the weather; the forecast called for rain," — Sentence Structure: Complete sentences.

so she packed ponchos for the whole group.: The comma before so correctly joins the final clause.

No mistakes: There is a mistake: the second line contains a comma splice.

Two independent clauses need a period, a semicolon, or a comma plus a conjunction such as and, but or so.

Mathematics

Question 5

At the same time of day, a 6-foot pole casts a 4-foot shadow and a tree casts an 18-foot shadow, as shown. Theo uses similar triangles to find the height of the tree, . What is ?

Pole and tree shadows
6 ft4 ftpolehtree18 ft
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Answer: D

  1. Set up the proportion: : .
  2. .
  3. ft.

12 ft: Inverts the ratio, using of 18 instead of of 18.

20 ft: Adds the difference between the pole and its shadow (2 ft) to 18; similar figures scale by multiplying, not adding.

24 ft: Adds the pole's height to the tree's shadow (18 + 6) instead of setting up a proportion.

27 ft: Correct. Corresponding sides are proportional: , so — Geometry: similar figures.

In similar triangles, corresponding sides have the same ratio, so set up height-to-shadow ratios and solve the proportion.

Question 6

The graph shows the total cost of renting a kayak at Willow Lake for different numbers of hours. If the pattern continues, what is the total cost to rent a kayak for 7 hours?

Kayak Rental Cost051015202530354001234Hours rentedTotal cost (dollars)
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Answer: B

  1. At 0 hours the cost is $10 (the fixed fee).
  2. Each hour adds 16 − 10 = $6.
  3. Cost = 10 + 6h; for h = 7: 10 + 42 = $52.

$42: Uses only the hourly rate (6 × 7) and leaves out the $10 starting fee shown at 0 hours.

$52: Correct. The cost starts at $10 and rises $6 per hour, so the cost is 10 + 6 × 7 = $52 — Algebraic Patterns & Connections: functional relationships.

$59.50: Treats the cost as proportional ($34 for 4 hours, so $8.50 per hour); the graph does not pass through (0, 0).

$70: Uses the $10 starting fee as the hourly rate.

A linear relationship with a starting value is not proportional: use cost = starting value + rate × hours, not a ratio.

Question 7

A bag holds 4 red, 5 blue, and 3 green marbles. Uma draws one marble, does not put it back, and then draws a second marble. What is the probability that both marbles are blue?

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Answer: B

  1. P(first blue) = .
  2. After one blue is removed: 4 blue of 11 marbles, so P(second blue) = .
  3. P(both blue) = .

: Removes the first blue marble from the count of blue marbles but keeps 12 as the total for the second draw: .

: Correct. , because both the blue count and the total drop by 1 after the first draw — Data Analysis, Probability, & Statistics: probability.

: Treats the draws as if the first marble were put back: .

: Adds the two probabilities () instead of multiplying them; one event followed by another calls for multiplying.

For "without replacement," multiply the probabilities and reduce both the favorable count and the total for the second draw.

Science

Question 8

The diagram shows rock layers W, X, Y, and Z and a body of igneous rock, I, that formed when magma pushed up into the layers. Which list gives the order in which these rocks formed, from oldest to youngest?

Rock layers and an igneous intrusion
ZYXWI
Layer Z is at the surface. The layers have not been overturned. The wavy line is an erosion surface that cuts across the top of rock I.
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Answer: C

W, X, Y, Z, I: Puts the intrusion last, but the erosion surface beneath Z cuts across the top of I, so I formed and was worn down before Z was deposited.

I, W, X, Y, Z: Treats I as oldest because it reaches the bottom; rock that cuts across layers is younger than the layers it cuts.

W, X, Y, I, Z: Correct. Lower layers are older (W, X, Y); I cuts through W, X, and Y, so it is younger than they are; the erosion surface cuts off the top of I, and Z was laid down on that surface, so Z is youngest — Earth & Space Science: Structure of Earth.

Z, I, Y, X, W: This is the correct sequence written from youngest to oldest, the reverse of what the question asks.

In undisturbed layers, lower layers are older; an intrusion is younger than the layers it cuts, and an erosion surface that cuts across it shows the layers above formed later still.

Question 9

Which conclusion is best supported by Nadia's results?

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Answer: D

  1. Temperature drops: none 28°C, foil 25°C, newspaper 19°C, wool 13°C.
  2. The smallest drop means the slowest heat transfer to the room.
  3. Wool had the smallest drop.

Wool produces heat, so the water in the wool cup stayed warmest.: Wool does not produce heat; it slows the transfer of heat away from the water. All the cups cooled.

Aluminum foil keeps water hot because it reflects heat back inside.: The foil cup was only 3°C warmer than the unwrapped cup, and the data do not test reflection at all.

Every wrapping slowed the cooling of the water by the same amount.: The wrappings kept the water 3°C, 9°C, and 15°C warmer than no wrapping — not the same amount.

Of the materials tested, wool slowed heat loss from the water the most.: Correct. The wool cup dropped only 13°C (80 to 67), the least of all cups, so wool was the best insulator tested — Physical Science: Forms of & changes in energy.

An insulator slows heat transfer; it does not add heat. Base a conclusion only on the materials that were actually tested.

Social Studies

Question 10

Which action in the flowchart shows the legislative branch checking the power of the executive branch?

One Way a Bill Can Become a Law
Both houses of Congress pass a bill.The President vetoes the bill.Congress votes again: two-thirds of each house approve.The bill becomes a law without the President's signature.
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Answer: A

Congress overrides the veto with a two-thirds vote: Correct. By overriding the President's veto, Congress (the legislative branch) limits the executive branch's power to block a law — Civics & Government: checks and balances.

The President vetoes the bill that Congress has passed: A veto is the executive branch checking the legislative branch — the reverse of what the question asks.

Both houses of Congress pass the bill: Passing a bill is Congress making law, not limiting another branch.

The bill becomes a law without the signature: This is the result of the override, not the action that checks the President.

Checks and balances let each branch limit the others: the President can veto a bill, and Congress can override a veto by a two-thirds vote of each house.

Vocabulary

Question 11

corroborate the witness's account

Which word or phrase means about the same as the word in bold?

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Answer: D

question: The opposite: questioning casts doubt; corroborating removes it.

record: Writing an account down does not confirm it.

repeat: Repeating the same story is not new evidence that it is true.

confirm: Correct. To corroborate is to support a statement with more evidence, confirming it — Vocabulary: Verbs.

Corroborate = confirm with additional evidence.

Spelling

Question 12

Find the word that is spelled wrong. If all the words are spelled correctly, choose No mistakes.

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Answer: B

necessary: necessary is spelled right: one c, double s.

ocassion: Correct — this word is misspelled. The right spelling is occasion: double c, single s — Spelling: Consonants.

embarrass: embarrass is spelled right: double r and double s.

committee: committee is spelled right: double m, double t, double e.

No mistakes: There is a mistake: ocassion should be occasion.

In occasion the c is doubled and the s is not; words such as necessary and embarrass double different letters, so check each word separately.

Capitalization

Question 13

Look for a mistake in capitalization. If there is no mistake, choose No mistakes.

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Answer: C

For my book report, I chose: book report is a common noun phrase and stays lowercase.

a mystery by Ellen Kirby called: The author's name is correctly capitalized; mystery is a common noun.

the secret of the hollow oak.: Correct. In a title, capitalize the first word, the last word and every important word; short words such as of and the in the middle stay lowercase. Corrected line: "The Secret of the Hollow Oak." — Capitalization: Titles of literary works.

No mistakes: There is a mistake: the title of the book must be capitalized.

Title rule: capitalize the first and last words and all important words; leave short articles and prepositions lowercase unless they come first.

Punctuation

Question 14

Look for a mistake in punctuation. If there is no mistake, choose No mistakes.

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Answer: C

The girls' soccer team won its: girls' is the correct plural possessive, and its (no apostrophe) is the correct possessive pronoun.

third game in a row, and the: The comma before and correctly joins two complete sentences.

players parents cheered from the stands.: Correct. The parents belong to the players, so a plural possessive is needed. Corrected line: "players' parents cheered from the stands." — Punctuation: Apostrophes.

No mistakes: There is a mistake: players needs an apostrophe to show possession.

For a plural noun ending in s, show possession by adding only an apostrophe (players'); its never takes one.

Computation

Question 15

Show answer & explanation

Answer: D

  1. Write 6 as 6/1 and multiply numerators: 6 × 7 = 42.
  2. The denominator stays 8: 42/8.
  3. Simplify: 42/8 = 21/4 = 5 1/4.
  4. 5 1/4 is not among choices A–C, so mark N.

: Multiplies both the numerator and the denominator by 6: 42/48 = 7/8.

: Divides instead of multiplying: 6 ÷ 7/8 = 48/7 = 6 6/7.

: Adds 6 and 7/8 instead of multiplying.

N (Not given): Correct. 6 × 7/8 = 42/8 = 5 1/4, which is not among A–C, so the answer is N — Compute with Fractions.

Multiplying a fraction by a whole number multiplies only the numerator; a product of 6 and a number less than 1 must be less than 6.

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