3rd Grade IAR Math Practice Test Questions
TL;DR: Looking for the right way to prep your child for Illinois’s grade 3 math test? These free 3rd grade IAR practice questions cover exactly what they’ll face: multiplication and division within 100, fractions, area, place value, and those multi-step word problems that sneak up on third graders. Working through real-feeling questions before test day is how kids build comfort and confidence — and how you find out which topics still need a little more practice at the kitchen table.
Key takeaways:
- IAR (Illinois Assessment of Readiness) replaced PARCC in 2018-19 – same Common Core base.
- Grade 3 Math has about 30-35 questions across multiple units.
- Item types include multiple choice, multi-select, drag-and-drop, and open-response.
- No calculator at grade 3.
- Aligned with the Illinois Learning Standards (Common Core).
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- D
\(24,589\) 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 this practice test, Mastering Grade 3 Math walks through every grade 3 math topic on the IAR. For extra word-problem practice, see Mastering Grade 3 Math Word Problems.
Frequently Asked Questions
How many questions are on the 3rd grade IAR Math test?
The grade 3 IAR Math has about 30-35 questions across multiple units. Item types include traditional multiple choice plus multi-select (pick all that apply), drag-and-drop, equation-builder, and short open-response items where your child types in a number or short answer.
Is a calculator allowed on the 3rd grade IAR?
No. Calculators aren’t permitted at grade 3 in Illinois. Your child should know multiplication facts through \(10\times 10\) and handle multi-digit addition, subtraction, multiplication, and division by hand.
When is the IAR given in Illinois?
The state-wide IAR window runs from early March through mid-April each year. Districts choose specific testing dates within the window. The two math units are typically given on consecutive school days.
What’s a passing score on the 3rd grade IAR Math?
ISBE reports five performance levels: Did Not Yet Meet, Partially Met, Approached, Met, and Exceeded Expectations. “Met” indicates on-grade-level proficiency and is the school target for most third-graders.
Can my child retake the IAR?
No. The IAR is given once per grade per year, with no formal retake. The spring score is the score of record. Low scores prompt extra classroom support the following year but don’t cause retention on their own.
What math topics are on the 3rd grade IAR?
Multiplication and division within 100, fractions on a number line and equivalent fractions, perimeter and area of rectangles, multi-digit place value (to 1,000), measurement (time and length), money, and reading bar and picture graphs.
How long should we prep for the IAR?
For a child working at grade level, 4-6 weeks at 15-20 minutes a day is plenty. For a child who’s been struggling, plan 8-12 weeks at 25 minutes a day. Multiplication-fact fluency is the single highest-impact area to drill first.
How long does the actual test take?
Each math unit is about 60-75 minutes; most kids finish in 45-60. The two units are typically given on consecutive school days, so total math testing is roughly 2 hours across two mornings.
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, with very similar item types and content depth.
Where can we find more IAR Math practice?
EffortlessMath has the 3rd Grade IAR Math FREE Sample Practice Questions, the Top 10 IAR Math sample questions, and the Mastering Grade 3 Math workbook covering every Common Core standard with worked examples.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
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