# 10 Most Common 5th Grade IAR Math Questions

Are you concerned about preparing your 5th-grade student for the 5th-Grade Illinois Assessment of Readiness (IAR) Math Test these days? Leave the preparation of your 5th-grade students to us!

Your 5th-grade students may find the math part of the IAR difficult, but with a little practice and effort, success can be achieved.

In order to make the 5th-grade students more familiar with the common questions of the 5th-Grade IAR Math Test, we have presented 10 Most Common 5th Grade IAR Math Questions. 10 Most Common 5th Grade IAR Math Questions Helps 5th-grade students better understand how to design questions and find out if they have a problem or weakness. One of the advantages of using the 10 Most Common 5th Grade IAR Math Questions is to simulate exams, which has a positive effect on student performance and self-confidence.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

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

1- With what number must \(5.674321\) be multiplied in order to obtain the number \(56,743.21\)?

A. \(100\)

B. \(1,000\)

C. \(10,000\)

D. \(100,000\)

2- Lily and Ella are in a pancake–eating contest. Lily can eat two pancakes per minute, while Ella can eat 2\(\frac{1}{2}\) pancakes per minute. How many total pancakes can they eat in \(5\) minutes?

A. \(9.5\) Pancakes

B. \(29.5\) Pancakes

C. \(22.5\) Pancakes

D. \(11.5\) Pancakes

3- The distance between cities \(A\) and \(B\) is approximately \(2,600\) miles. If Alice drives an average of \(68\) miles per hour, how many hours will it take Alice to drive from city \(A\) to city \(B\)?

A. Approximately \(41\) Hours

B. Approximately \(38\) Hours

C. Approximately \(29\) Hours

D. Approximately \(27\) Hours

4- \(12\) yards \(4\) feet and \(2\) inches equal to how many inches?

A. \(96\)

B. \(432\)

C. \(482\)

D. \(578\)

5- Which expression has a value of \(– 8\)?

A. \(8 – (– 2) + (– 18)\)

B. \(2 + (– 3) × (– 2)\)

C. \(– 6 × (– 6) + (– 2) × (– 12)\)

D. \((– 2) × (– 7) + 4\)

6- The drivers at G & G trucking must report the mileage on their trucks each week. The mileage reading of Ed’s vehicle was \(40,907\) at the beginning of one week, and \(41,053\) at the end of the same week. What was the total number of miles driven by Ed that week?

A. \(46\) MILES

B. \(145\) MILES

C. \(146\) MILES

D. \(1,046\) MILES

7- Solve.

\( \frac{5}{8}× \frac{4}{5}\)

A. \(\frac{1}{2}\)

B. \(\frac{3}{2}\)

C. \(\frac{1}{3}\)

D. \(\frac{1}{4}\)

8- A cereal box has a height of \(28\) centimeters. The area of the base is \(120\) centimeters. What is the volume of the cereal box? __________

9- Nancy ordered \(18\) pizzas. Each pizza has \(8\) slices. How many slices of pizza did Nancy order?

A. \(124\)

B. \(144\)

C. \(156\)

D. \(180\)

10- The length of a rectangle is \(\frac{3}{4}\) of inches and the width of the rectangle is \(\frac{5}{6}\) of inches. What is the area of that rectangle?

A. \(\frac{1}{2}\)

B. \(\frac{5}{8}\)

C. \(\frac{20}{25}\)

D. \(\frac{5}{24}\)

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## Answers:

1- **C**

The question is the number \(56,743.21\) is how many times of number \(5.674321\). The answer is \(10,000\).

2- **C **

Lily eats \(2\) pancakes in \(1\) minute ⇒ , Lily, eats \(2×5\) pancakes in \(5\) minutes.

Ella eats \(2\frac{1}{2}\) pancakes in \(1\) minute ⇒ Ella eats \(2\frac{1}{2}\) \(× 5\) pancakes in \(5\) minutes.

In total Lily and Ella eat \(10 + 12.5 \) pancakes in \(5\) minutes.

3- **B **

Alice drives \(68\) miles in one hour. Therefore, she drives \(2,600\) miles in about \((2,600 ÷ 68) 38\) hours.

4- **C**

\(12\) yards \(= 12 × 36 = 432\) inches

\(4\) feet \(= 4 × 12 = 48\) inches

\(12\) yards \(4\) feet and \(2\) inches \(= 432\) inches \(+ 48\) inches \(+ 2\) inches\( = 482\) inches

5- **A**

Simplify each option provided using order of operations rules.

\(8 – (–2)+ (–18)=8+2-18=-8 \)

\( 2+(–3)×(–2)=2+6=8\)

\( –6×(–6)+ (–2)×(–12)=36+24=60\)

\( (–2)×(–7)+4=14+4=18\)

6- **C**

To find the answer, subtract \(40,907\) from \(41,053\).

\(41,053-40,907=146 \space\) miles

7- **A**

\( \frac{5}{8}× \frac{4}{5}=\frac{5×4}{8×5}=\frac{20}{40}=\frac{1}{2}\)

8- **3,360**

Use volume of cube formula.

\( Volume= base × height ⇒ V= 120 × 28 ⇒ V=3,360\)

9- **B**

\(1\) pizza has \(8\) slices.

\(18\) pizzas contain \((18 × 8) 144\) slices.

10- **B**

Use area of rectangle formula.

\(Area= length × width ⇒ A=\frac{3}{4} × \frac{5}{6} ⇒ A=\frac{5}{8}\space inches\)

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