# 4th Grade IAR Math Practice Test Questions

Do you feel that your 4th-grade student needs more practice to take the IAR math test? If so, to improve your student’s math skills and increase their score, use our 10 most common Illinois Assessment of Readiness (IAR) math test questions designed for this purpose. These questions have been designed and developed by our professional research team to meet the needs of your 4th-grade student. The questions are designed to cover the most important concepts of the 4th-grade IAR math test. The question-solving guide is also provided in the final section. We hope you find these questions helpful.

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**10 Sample 4th Grade IAR Math Practice Questions**

1- What is the value of A in the equation \(64 ÷ A = 8\)

A. \(2\)

B. \(4\)

C. \(6\)

D. \(8\)

2- Jason’s favorite sports team has won \(0.62\) of its games this season. How can Jason express this decimal as a fraction?

A. \(\frac{6}{2}\)

B. \(\frac{62}{10}\)

C. \(\frac{62}{100}\)

D. \(\frac{6.2}{10}\)

3- 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.

4- Sophia flew \(2,448\) miles from Los Angeles to New York City. What is the number of miles Sophia flew rounded to the nearest thousand?

A. \(2000\)

B. \(2400\)

C. \(2500\)

D. \(3000\)

5- Write \(\frac{124}{1000}\) as a decimal number.

A. \(1.24\)

B. \(0.124\)

C. \(12.4\)

D. \(0.0124\)

6- Erik made \(12\) cups of juice. He drinks \(3\) cups of juice each day. How many days will Erik take to drink all of the juice he made?

A. \(2\) days

B. \(4\) days

C. \(8\) days

D. \(9\) days

7- Jason has prepared \(\frac{4}{10}\) of his assignment. Which decimal represents the part of the assignment Jason has prepared?

A. \(4.10\)

B. \(4.01\)

C. \(0.4\)

D. \(0.04\)

8- Emma described a number using these clues.

• \(3\) digits of the number are \(4, 7\), and \(9\)

• The value of the digit \(4\) is \((4 × 10)\)

• The value of the digit \(7\) is \((7 × 1000)\)

• The value of the digit \(9\) is \((9 × 10000)\)

Which number could fit Emma’s description?

A. \(9,724.04\)

B. \(90,734.40\)

C. \(97,040.04\)

D. \(98,740.70\)

9- There are \(18\) boxes and each box contains \(26\) pencils. How many pencils are in the boxed-in total?

A. \(108\)

B. \(208\)

C. \(468\)

D. Not here

10- Emily and Ava were working on a group project last week. They completed \(\frac{7}{10}\) of their project on Tuesday and the rest on Wednesday.

Ava completed \(\frac{3}{10}\) of their project on Tuesday. What fraction of the group project did Emily complete on Tuesday?

A. \(\frac{2}{10}\)

B. \(\frac{3}{10}\)

C. \(\frac{4}{10}\)

D. \(\frac{5}{10}\)

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## Answers:

1- **D**

\(A = 64 ÷ 8\)

\(A=8\)

2- **C**

\(0.62\) is equal to \(\frac{62}{100}\)

3-** 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.

4- **A**When rounding to the nearest thousand, you will need to look at the last three digits. If the last three digits are \(449\) or less round to the next number that is smaller than the number given and end with three zeros.

On the other hand, If the last three digits are \(500\) or more, round to the next number bigger than the given number and end with three zeros.

5- **B**

\(\frac{124}{1000}\) is equal to \(0.124\).

6- **B**

\(12 ÷ 3 = 4\)

7- **C**

\(\frac{4}{10}=0.4\)

8- **C**

9- **C**

\(18 × 26 = 468\)

10- **C**

\(\frac{7}{10}-\frac{3}{10}=\frac{4}{10}\)

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