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. \(21\space cm^2\)
6- Which number is made up of \(4\) hundred, \(8\) tens, and \(4\) ones?
A. \(4,084\)
B. \(484\)
C. \(448\)
D. \(844\)
7- Look at the spinner above. On which color is the spinner most likely to land?
A. RED
B. GREEN
C. YELLOW
D. NONE
8- A group of third-grade students recorded the following distances that they jumped.
A. \(23\)
B. \(24\)
C. \(32\)
D. \(34\)
9- Emma flew \(2,448\) miles from Los Angeles to New York City. What is the number of miles Emma flew rounded to the nearest thousand?
A. \(2,000\)
B. \(2,400\)
C. \(2,500\)
D. \(3,000\)
10- A number sentence such as \(31 + Z = 98\)can be called an equation. If this equation is true, then which of the following equations is not true?
A. \(98 – 31 = Z\)
B. \(98 – Z= 31\)
C. \(Z- 31 = 98\)
D. \(Z+31 = 98\)
Best 3rd Grade IAR Math Prep Resource
Answers:
1- B
An easy way to tell whether a large number is odd or even is to look at its final digit. If the number ends with an odd digit \((1, 3, 5, 7, or\space 9)\), then it’s odd. On the other hand, if the number ends with an even digit or \(0 (0, 2, 4, 6\space or\space 8)\), then it is even.
\(15, 29,\) and \(83\) end with odd digits, so they are odd numbers.
2- D
She saves \($36\) and \($28\) so she has \($64\).
\($140 – $64 = $76\) she needs to save.
3- D
Michelle divides \(72\) books into \(9\) boxes therefore \(72 ÷ 9\) formula is correct.
4- B
Eva gave \(349\) of her \(983\) cards to her friend so her cards are \(983-349\), then she lost \(260\) cards so now she has \(983-349-260=374\) cards.
5- D
Use the formula of a rectangle:
\(Area= length × width\)
Area \(=3cm×7cm =21cm^2\)
6- B
Add \(4\) hundred and \(8\) tens and \(4\) ones
So we have:\(400 + 80 + 4 = 484\)
7- A
The chances of landing on red are \(3\) in \(6\)
The chances of landing on yellow are \(1\) in \(6\)
The chances of landing on the green are \(2\) in \(6\)
The chances of landing on red are more than in other colors.
8- C
\(32\) inches distance most occur in this table.
9- A
10- C
All these equations are true:
\(98 – 31 = Z\)
\(98 – Z = 31\)
\(Z + 31 = 98\)
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
Are these the actual top 10 from the real IAR?
No – actual IAR test items aren’t released publicly. These are 10 hand-picked sample questions that match the topics, format, and difficulty your child will see on the Illinois grade 3 math test.
How long should this take?
About 15-20 minutes for the questions, plus 10 minutes to walk through any tricky answers. Total: 25-30 minutes – small enough to fit into a school night.
Is a calculator allowed on the 3rd grade IAR?
No. Calculators aren’t permitted on the Illinois grade 3 math test. Your child needs to know multiplication facts through \(10\times 10\) and do multi-digit arithmetic by hand.
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. This 10-question set is just a diagnostic sample.
When is the IAR test given?
Illinois administers the IAR in a state-wide window from early March to mid-April. Each district picks specific dates inside that window. Try this 10-question set 4-6 weeks before your child’s testing date.
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 trigger extra support but don’t cause retention by themselves.
Can my child retake the IAR?
No formal retake at grade 3. The IAR is given once per grade per school year. The spring score stands as the score of record. Low scores prompt instructional adjustments the following year, not retention.
What topics do these 10 questions cover?
The heavy hitters from the Illinois grade 3 math standards: multiplication and division within 100, fractions on a number line, equivalent fractions, perimeter and area, multi-digit place value, multi-step word problems, and reading graphs.
Does the IAR follow Common Core?
Yes. Illinois uses the Common Core State Standards (renamed Illinois Learning Standards for state purposes). The IAR is the Common Core-aligned test that replaced PARCC in 2018-19, with very similar item types.
Where can we find more IAR practice?
EffortlessMath has the 3rd Grade IAR Math FREE Sample Practice Questions, a full-length 3rd Grade IAR Math practice test, 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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