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. For additional educational resources, .
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
Are these questions the same as the real IAR?
No – actual IAR items aren’t publicly released. These are hand-picked sample questions that match the topics, format, and difficulty your child will see on the Illinois grade 3 math test.
How many questions are on the real IAR Math?
The grade 3 IAR Math has about 30-35 questions split across multiple units. Item types include multiple choice, multi-select, drag-and-drop, equation-builder, and short open-response items where your child types in a number.
Is a calculator allowed on the 3rd grade IAR?
No. Calculators aren’t allowed on the Illinois grade 3 math test. Your child needs multiplication facts through \(10\times 10\) by memory and should do multi-digit arithmetic by hand.
When is the IAR test given in Illinois?
The state-wide IAR window runs from early March to mid-April. Districts pick specific dates inside the window. Both math units are typically administered on the same day or consecutive days.
What’s a passing score on the IAR Math?
ISBE reports five performance levels: Did Not Yet Meet, Partially Met, Approached, Met, and Exceeded Expectations. “Met” is the on-grade-level target. “Approached” and below indicate the need for extra support.
Can my child retake the IAR?
No formal retake at grade 3. The IAR is given once per grade per year, and the spring score is the score of record. Low scores prompt instructional changes the next school year.
What topics should we focus on first?
Start with multiplication and division within 100 – they anchor the IAR grade 3 test. Then move to fractions on a number line, perimeter and area, multi-digit place value, and multi-step word problems with reasoning.
How long should we prep?
For a child working at grade level, 4-6 weeks at 15-20 minutes per day is enough. For a child who’s been struggling, plan 8-12 weeks at 25 minutes per day, with multiplication facts as the first priority.
Does the IAR follow Common Core?
Yes. Illinois adopted the Common Core State Standards (renamed Illinois Learning Standards). The IAR is the Common Core-aligned test that replaced PARCC in 2018-19. Item types and content depth are similar.
Where can we find more IAR practice?
EffortlessMath has a full-length 3rd Grade IAR Math practice test, the Top 10 IAR Math sample questions, and the Mastering Grade 3 Math workbook covering every standard with worked examples.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
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