# 5th Grade IAR Math FREE Sample Practice Questions

What measures have you taken to prepare your 5th-grade student as much as possible to take the IAR math test? To pass the Illinois Assessment of Readiness (IAR) math test, a 5th-grade student will need to use a sample of practice questions to prepare better for the IAR math test. This helps a lot to calm and increase the students’ self-confidence during the IAR math test.

Here are brief but valuable Free IAR math sample practice questions to help 5th-grade students.

There are many benefits to using these sample practice questions for 5th-grade students, including being able to identify and address their weaknesses.

These sample questions have been prepared by the most up-to-date research team to prepare your 5th-grade students for the IAR 2022 math test.

Be sure to refer to the related links at the bottom of this post to give you a better understanding of what your 5th-grade student needs to take the IAR math test.

**The Absolute Best Book to Ace the 5th Grade IAR Math Test**

**10 Sample 5th Grade IAR Math Practice Questions**

1- What is the volume of this box?

\( \img {https://appmanager.effortlessmath.com/public/images/questions/test5.iar5.222.JPG

} \)

A. \(24 cm\)\(^3\)

B. \(32 cm\)\(^3\)

C. \(162 cm\)\(^3\)

D. \(192 cm\)\(^3\)

2- How many square feet of tile is needed for \(18\) feet to \(18\) feet room?

A. \(72\) Square Feet

B. \(108\) Square Feet

C. \(216\) Square Feet

D. \(324\) Square Feet

3- Of the \(2,400\) videos available for rent at a certain video store, \(600\) are comedies. What percent of the videos are comedies?

A. \(18 ½ \%\)

B. \(20\%\)

C. \(22\%\)

D. \(25\%\)

4- How many \(3 × 3\) squares can fit inside a rectangle with a height of \(54\) and width of \(12\)?

A. \(72\)

B. \(62\)

C. \(50\)

D. \(44\)

5- ABC Corporation earned only \($200,000\) during the previous year, two-thirds only of the management’s predicted income. How much earnings did the management predict?

A. \($20,000\)

B. \($30,000\)

C. \($300,000\)

D. \($340,000\)

6- William keeps track of the length of each fish that he catches. Following are the lengths in inches of the fish that he caught one day: \(13, 14, 9, 11, 9, 10, 18\)

What is the median fish length that William caught that day?

A. \(11\) Inches

B. \(9\) Inches

C. \(12\) Inches

D. \(13\) Inches

7- Solve: \(9 + [8 × 5] ÷ 2 =\) ? ________

8- What is the median of these numbers? \(4, 9, 13, 8, 15, 18, 5\)

A. \(8\)

B. \(9\)

C. \(13\)

D. \(15\)

9- The area of the base of the following cylinder is \(50\) square inches and its height is \(10\) inches. What is the volume of the cylinder? ________

10- A rope \(13\) yards long is cut into \(4\) equal parts. Which expression does NOT equal the length of each part?

A. \(13 ÷ 4\)

B. \(\frac{13}{4}\)

C. \(4 ÷ 13\)

D. \(4\sqrt{13}\)

**Best 5th Grade IAR Math Exercise Resource**

### Common Core Math Exercise Book for Grade 5 Student Workbook and Two Realistic Common Core Math Tests

## Answers:

1- **D**

Use the volume of the cube formula.

Voluem\(=\) length \(×\) width\( ×\) height\( ⇒ V= 6 × 4 × 8 ⇒ V=192 \space\)\( cm^3\)

2- **D**

Find the area of the room which is a square. Use the area of the square formula.

\(S= a^2 ⇒ S= 18\) feet \(× 18\) feet \(= 324\) square feet

3-** D**

Use the percent formula:

part\( =\frac{percent}{100}× \)whole

\(600 =\frac{percent}{100}× 2400⇒ 600=\) percent \(× 24 ⇒\)percent\(=25 \)

4- **A**Use the area of the rectangle formula.

\(A= a × b ⇒ A= 54 × 12 ⇒ A= 648\)

Divide the area by \(9\) (\(3 × 3 = 9\) squares) to find the number of squares needed. \(648 ÷ 9 = 72\)

5- **C**

ABC Corporation’s income \(= \frac{2}{3}\) management’s predicted income.

\($200,000 = \frac{2}{3}\) management’s predicted income

management’s predicted income \(= $200,000×\frac{3}{2} =$300,000\)

6- **A**

Write the numbers in order:

\(9, 9, 10, 11, 13, 14, 18\)

The median is the number in the middle. Therefore, the median is \(11\).

7- **29**

Use PEMDAS (order of operation):

\(9 + [8 × 5] ÷ 2 = 9 + (40) ÷ 2 = 9 + (40 ÷ 2) = 29\)

8- **B**

Write the numbers in order:

\(4, 5, 8, 9, 13, 15, 18\)

The median is the number in the middle. Therefore, the median is \(9\).

9- **500**

Use the volume of cylinder formula.

Voluem\(=\) base \(×\) height \(⇒ V=50 × 10 ⇒ V=500\)

10- **C**

\(13\) yards long rope is cut into \(4\) equal parts. Therefore, \(13\) should be divided by \(4\). Only option C is NOT \(13\) divided by \(4\). (It is \(4\) divided by \(13\))

**Looking for the best resource to help you succeed on the 5th Grade IAR Math test?**

**The Best Books to Ace the 5th Grade IAR Math Test**

### Common Core Math Exercise Book for Grade 5 Student Workbook and Two Realistic Common Core Math Tests

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