10 Most Common 6th Grade IAR Math Questions
Because 6th-grade students’ scores on the Illinois Assessment of Readiness (IAR) math test affect their fate, we also decided to compile 10 Most Common 6th Grade IAR Math Questions for 6th-Grade IAR Math and provide them to 6th-grade students.
These questions are very similar to the main test questions and this helps a lot in 6th-grade students mastering the concepts of the 6th-grade IAR Math Test.
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 your students need to practice.
The Absolute Best Book to Ace the IAR Math Test
10 Sample 6th Grade IAR Math Practice Questions
1- What is the equation of a line that passes through points \((0, 4)\) and \((2, 8)\)?
A. \(y = x\)
B. \(y = x + 4\)
C. \(y = 2x + 4\)
D. \(y = 2x – 4\)
2- What is the volume of a box with the following dimensions?
Height \(= 6 cm\) , Width \(= 7 cm\), Length \(= 9 cm\)
A. \(63 \space cm^3\)
B. \(126\space cm^3\)
C. \(189\space cm^3\)
D. \(378\space cm^3\)
3- Anita’s trick–or–treat bag contains \(14\) pieces of chocolate, \(15\) suckers, \(16\) pieces of gum, and \(20\) pieces of licorice. If she randomly pulls a piece of candy from her bag, what is the probability of her pulling out a piece of sucker?
A. \(\frac{1}{13}\)
B. \(\frac{3}{13}\)
C. \(\frac{14}{65}\)
D. \(\frac{16}{65}\)
4-
In the following rectangle, which statement is false?
A. AD is parallel to BC
B. The measure of the sum of all the angles equals \(360^\circ\).
C. Length of AB equal to length DC.
D. AB is perpendicular to AC.
5- The area of a rectangular yard is \(90\) square meters. What is its width if its length is \(15\) meters?
A. \(10\) meters
B. \(8\) meters
C. \(6\) meters
D. \(4\) meters
6- Which statement about \(4\) multiplied by \(\frac{3}{5}\) must be true?
A. The product is between \(1\) and \(2\)
B. The product is greater than \(3\)
C. The product is equal to \(\frac{75}{31}\)
D. The product is between \(2\) and \(2.5\)
7- Which of the following lists shows the fractions in order from least to greatest?
\(\frac{3}{4}, \frac{2}{7}, \frac{3}{8} , \frac{5}{11}\)
A. \(\frac{3}{8}, \frac{2}{7}, \frac{3}{4}, \frac{5}{11}\)
B. \(\frac{2}{7}, \frac{5}{11}, \frac{3}{8}, \frac{3}{4}\)
C. \(\frac{2}{7}, \frac{3}{8}, \frac{5}{11}, \frac{3}{4}\)
D. \(\frac{3}{8}, \frac{2}{7}, \frac{5}{11}, \frac{3}{4}\)
8- A car costing \($300\) is discounted \(10\%\). Which of the following expressions can be used to find the selling price of the car?
A. \((300)(0.4)\)
B. \(300-(300×0.1)\)
C. \((300)(0.1)\)
D. \( 300-(300×0.9)\)
9- What is the missing price factor of the number \(420\)?
\(420=2^2×3^1×…\)
A. \(2^2×3^1×5^1×7^1\)
B. \(2^2×3^1×7^1×9^1\)
C. \(1^2×2^3×2^1×3^1\)
D. \(3^2×5^1×7^1×9^1\)
10- If the area of the following trapezoid is equal to \(A\), which equation represents \(x\)?
A. \(x = \frac{13}{A}\)
B. \(x = \frac{A}{13}\)
C. \( x=A+13\)
D. \( x=A-13\)
Best 6th Grade IAR Math Practice Resource
Common Core Math Exercise Book for Grade 6 Student Workbook and Two Realistic Common Core Math Tests
Answers:
1- C
The slope of the line is:
\(\frac{y_2-y_1}{x_2-x_1 }= \frac{8 – 4}{2 – 0}=\frac{4}{2}=2\)
The equation of a line can be written as:
\( y-y_0=m(x – x_0 )→y-4 = 2(x – 0)→y-4 = 2x→y = 2x + 4\)
2- D
Volume of a \(box = length × width × height = 6 × 7 × 9 = 378\)
3- B
\(Probability = \frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{15}{14+15+16+20}= \frac{15}{65}=\frac{3}{13}\)
4- D
In any rectangle, sides are not perpendicular to diagonals.
5- C
Let \(y\) be the width of the rectangle. Then; \(15×y=90→y=\frac{90}{15}=6\)
6- D
\( 4×\frac{3}{5}=\frac{12}{5}=2.4 \)
\( 2.4>2\)
\( 2.4<3\)
\( \frac{75}{31}=2.419≠2.4\)
\(2<2.4<2.5 \) This is the answer!
7- C
Let’s compare each fraction:
\(\frac{2}{7}< \frac{3}{8}< \frac{5}{11} < \frac{3}{4}\)
Only choice C provides the right order.
8- B
To find the discount, multiply the number (\(100\%\)\(-\) rate of discount)
Therefore; \(300(100\%-10\%)=300(1-0.1)=300-(300×0.1)\)
9- A
\(420=2^2×3^1×5^1×7^1\)
10- B
The area of the trapezoid is: area= \(\frac{(base 1+base 2)}{2}×height= (\frac{10 + 16}{2})x = A\)
\( →13x = A→x = \frac{A}{13}\)
Looking for the best resource to help you succeed on the Grade 6 IAR Math test?
The Most Comprehensive Review for 6th-Grade Students
Common Core Math Exercise Book for Grade 6 Student Workbook and Two Realistic Common Core Math Tests
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