Top 10 3rd Grade IAR Math Practice Questions
TL;DR: Looking for a tight, high-value 3rd grade IAR Math practice set? Here are ten questions hand-picked to cover the topics most likely to show up on the Illinois Assessment of Readiness, no padding, no filler. Each one comes with a fully worked answer, so your child can check their thinking and learn from any missed problems on their own. Use it for a focused warm-up or a quick refresher before the real test.
Key takeaways:
- Just 10 questions – good for a short diagnostic or focused review session.
- Each item maps to a high-frequency Illinois Learning Standard for grade 3 math.
- IAR is Illinois’s state test (replaced PARCC in 2018-19) and uses the same item types.
- No calculator at grade 3.
- Worked solutions show your child the reasoning step by step.

B. \(20\space cm^2\)
C. \(14\space cm^2\)
D. \(21\space cm^2\)
Practice Quiz: Top 10 Grade 3 IAR Math Practice Questions
Answer each question and press Submit to see your result right away.
Answer each question and press Submit to see your result right away.
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 top 10 questions, Mastering Grade 3 Math covers every IAR grade 3 topic with worked examples. For extra word-problem practice, see Mastering Grade 3 Math Word Problems.
Frequently Asked Questions
Is there a 3rd grade IAR math practice test?
Yes. Illinois posts official IAR practice materials on the ISBE website, and Effortless Math also has a full-length 3rd grade IAR Math practice test to go with these 10 questions. A good plan is to use this short set as a quick check first, then try a full practice test a few weeks before your child’s testing date. Check ISBE for the current test format.
What topics are covered in 3rd grade math?
Third grade math in Illinois focuses on multiplication and division within 100, fractions on a number line, area and perimeter, place value and rounding, telling time and reading graphs. These are the skills the IAR checks. In this set, for example, question 9 asks your child to round 2,448 miles to the nearest thousand, which gives 2,000.
What are some 3rd grade math questions with answers?
Here is one from this set: if 31 + Z = 98, which equation is not true? Since Z = 98 − 31 = 67, the equations 98 − 31 = Z, 98 − Z = 31 and Z + 31 = 98 all hold, but Z − 31 = 98 does not, because 67 − 31 = 36. Every one of the 10 IAR-style questions has a worked answer like this so your child can check their thinking.
What are examples of 3rd grade math equations?
Third graders solve equations with one unknown, such as 6 × ? = 42, 56 ÷ 8 = n or 31 + Z = 98. The key idea is that addition and subtraction undo each other, and so do multiplication and division: if 6 × ? = 42, then ? = 42 ÷ 6 = 7. The IAR often asks students to spot which equation in a list is true or false, so this reasoning is worth practicing.
How can my child practice for the 3rd grade IAR?
Short, regular sessions work best: 15 to 20 minutes a few times a week, mixing multiplication facts, fraction models and word problems. After each set, go over missed questions together and ask your child to explain the steps out loud. Because the IAR is taken on a computer, some online practice with typed answers and drag-and-drop items helps test day feel familiar.
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
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