5th Grade IAR Math FREE Sample Practice Questions
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 2026 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.
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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 \(13\))
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