3rd Grade IAR Math FREE Sample Practice Questions
TL;DR: Looking for IAR-style math practice your child can actually work through on their own? These free 3rd grade sample questions are modeled directly on the Illinois Assessment of Readiness and aligned to the Illinois Learning Standards. Every question comes with a worked answer, so when your child misses one, they can see exactly where things went sideways and fix it themselves. That self-review loop is where the real learning happens between now and test day.
Key takeaways:
- Free sample set covering the main grade 3 IAR math topics in a single session.
- Aligned to the Illinois Learning Standards (Common Core-based).
- Each answer is fully worked out so your child sees the reasoning.
- IAR replaced PARCC in Illinois starting 2018-19 – same item types, same Common Core focus.
- Use this as a quick diagnostic before scheduling a full-length practice test.
After reviewing the concepts of the IAR math test, nothing like working on sample practice questions will help your 3rd-grade student master the test as much as possible. Our sample practice questions will give your 3rd-grade student the insight and comfort they need to take the IAR math test.
Check out our IAR sample math practice questions to find out if your 3rd-grade students can identify their strengths and weaknesses before taking the IAR math test!
Our FREE sample practice questions are what your 3rd-grade students need to pass the IAR 2026 math test. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.
The Absolute Best Book to Ace the 3rd Grade IAR Math Test
e sum of twenty thousand, \(4\) thousand, five hundred, eight tens, and nine ones
4- What is the value of “A” in the following equation?
\(21 + A + 9 = 44\)
A. \(10\)
B. \(12\)
C. \(14\)
D. \(20\)
5- Mr. Smith usually eats four meals a day. How many meals does he eat in a week?
A. \(21\)
B. \(24\)
C. \(28\)
D. \(30\)
6- What is the value of A in the equation \(72 ÷ A = 8\)
A. \(2\)
B. \(6\)
C. \(7\)
D. \(9\)
7- Use the models below to answer the question.
\(
\)
Which statement about the models is true?
A. Each shows the same fraction because they are the same size.
B. Each shows a different fraction because they are different shapes.
C. Each shows the same fraction because they both have \(3\) sections shaded.
D. Each shows a different fraction because they both have \(3\) shaded sections but a different number of total sections.
8- To what number is the arrow pointing?
\(
\)
A. \(36\)
B. \(38\)
C. \(30\)
D. \(42\)
9- Emily has \(108\) stickers and she wants to give them to nine of her closest friends. If she gives them all an equal number of stickers, how many stickers will each of Emily’s friends receive?___________
10- The following models are the same size and each is divided into equal parts.
The models can be used to write two fractions.
\(
\)
Based on the models, which of the following statements is true?
A. \(\frac{2}{8}\) is bigger than \(\frac{4}{16}\).
B. \(\frac{2}{8}\) is smaller than \(\frac{4}{16}\).
C. \(\frac{2}{8}\) is equal to \(\frac{4}{16}\).
D. We cannot compare these two fractions only by using the models.
Best 3rd Grade IAR Math Prep Resource
Answers:
1- A
\(8,000 – 658 = 7,342\)
2- D
\(14 × 40 = 560\)
3- C
\(24,589\) is the sum of \(20,000; 4,000; 500; 80;\) and \(9\)
4- C
\(A = 44 – (21 + 9)\)
\(A = 14\)
5- C
In \(1\) day \(4\) meals so \(4 × 7 = 28\) meals a week.
6- D
\(A = 72 ÷ 8\)
\(A= 9 \)
7- D
The model for the first fraction is divided into \(6\) equal parts. We shade 3_6 to show the same amount as 1_2. The model for the second fraction is divided into \(8\) equal parts. We shade 3_ 8 that it shows these two models are different fractions.
8- C
The arrow shows exactly the middle of two numbers \(25\) and \(35\), so the answer is \(30\).
9- 12
\(108 ÷ 9 = 12\)
10- C
The model for the first fraction is divided into \(8\) equal parts. We shade 2_ 8 to show the same amount as 1_ 4. The model for the second fraction is divided into \(16\) equal parts. We shade 4_ 16 to show the same amount as 1_ 4.
Looking for the best resource to help you succeed on the 3rd Grade IAR Math test?
The Best Books to Ace the 3rd Grade IAR Math Test
Recommended EffortlessMath Books
For a workbook your child can use alongside these sample questions, Mastering Grade 3 Math walks through every Illinois grade 3 math topic. For extra word-problem practice (heavy on IAR), see Mastering Grade 3 Math Word Problems.
Frequently Asked Questions
Is there an IAR 3rd grade math practice test?
Yes. The Illinois State Board of Education posts free practice tests for the grade 3 IAR on its assessment pages, and they run on the same online platform students use on test day. Use the sample questions here first as a quick check, then have your child try the official practice test so the tools, like drag-and-drop and typing an answer, feel familiar.
What is the IAR grade 3 math scoring guide?
A scoring guide explains how each practice item is scored, with the correct answer, the standard it measures and, for multi-part or written items, how partial credit is earned. Illinois releases these with its practice materials. They are useful at home: after your child answers a fractions or area question, read the guide together to see what a full-credit answer needs to show.
How are IAR test scores reported?
IAR results are reported as a scale score plus a performance level that shows whether your child is meeting grade-level expectations in math. The family report also breaks results into areas such as number skills and problem solving, which points to what to practice next. Illinois has updated its score reporting in recent years, so check the ISBE website for the current levels.
What is covered in 3rd grade math?
Third grade math centers on multiplication and division within 100, place value and rounding, adding and subtracting within 1,000, and understanding fractions like 1/4 and 3/4 on a number line. Students also find area and perimeter, tell time to the minute, and solve two-step word problems. These are the same skills the 3rd grade IAR sample questions here practice.
What is area in math for 3rd grade?
Area is the amount of flat space a shape covers, measured in square units. Third graders start by counting unit squares, then learn the shortcut of multiplying length × width. A rectangle 4 units long and 3 units wide covers 4 × 3 = 12 square units. Area questions on the IAR often mix this with word problems, like tiling a floor or a garden.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
- How to multiply and divide
- How to add and subtract multi-digit numbers
- How to compare fractions
- How to find the area of a rectangle
- How to solve word problems
Related to This Article
More math articles
- Free Grade 2 English Worksheets for Idaho Second Graders
- Alaska AK STAR Grade 3 Math Worksheets — 49 Free Printable Single-Skill PDFs
- 5th Grade PARCC Math Worksheets: FREE & Printable
- Federalists and Democratic-Republicans
- The Best Grade 7 ELA Practice Tests for Georgia Students
- Free Printable Grade 2 Math Worksheets for West Virginia
- How to Determine Segment Measures in Circles
- Paid Work, Care, and the Second Shift
- 5 Best SAT Math Books for Students Preparing for the SAT Test
- Grade 4 Math Flashcards (Free Online: Formulas, Terms & Concepts)
What people say about "3rd Grade IAR Math Free Sample Practice Questions"?
No one replied yet.