10 Most Common 6th Grade SBAC Math Questions
If your students are trying to get an excellent score in the 6th Grade SBAC test, after carefully studying the contents of the 6th Grade SBAC test, they need to use sample practice questions to better review the material. Using the 6th Grade SBAC Math practice questions before taking the test will help them to better master the material and reduce their anxiety. For this reason, we have prepared this article and it includes 10 common 6th Grade SBAC Math questions along with their solutions. We hope that students will use these questions and succeed in the 6th Grade SBAC Math test. For additional educational resources, visit the U.S. Department of Education website.
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.
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10 Sample 6th Grade SBAC Math Practice Questions
1- What is the equation of a line that passes through points \((0, 4)\) and \((2, 8)\)?
A. \(y = x\) For education statistics and research, visit the National Center for Education Statistics.
B. \(y = x + 4\) For education statistics and research, visit the National Center for Education Statistics.
C. \(y = 2x + 4\) For education statistics and research, visit the National Center for Education Statistics.
D. \(y = 2x – 4\) For education statistics and research, visit the National Center for Education Statistics.
2- What is the volume of a box with the following dimensions?
Height \(= 6\) cm , Width \(= 7\) cm, Length \(= 9\) cm For education statistics and research, visit the National Center for Education Statistics.
A. \(63 \space cm^3\) For education statistics and research, visit the National Center for Education Statistics.
B. \(126\space cm^3\) For education statistics and research, visit the National Center for Education Statistics.
C. \(189\space cm^3\) For education statistics and research, visit the National Center for Education Statistics.
D. \(378\space cm^3\) For education statistics and research, visit the National Center for Education Statistics.
3- Anita’s trick–or–treat bag contains 14 pieces of chocolate, 15 suckers, 16 pieces of gum, 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? For education statistics and research, visit the National Center for Education Statistics.
A. \(\frac{1}{13}\) For education statistics and research, visit the National Center for Education Statistics.
B. \(\frac{3}{13}\) For education statistics and research, visit the National Center for Education Statistics.
C. \(\frac{14}{65}\) For education statistics and research, visit the National Center for Education Statistics.
D. \(\frac{16}{65}\) For education statistics and research, visit the National Center for Education Statistics.
4- In the following rectangle, which statement is false? For education statistics and research, visit the National Center for Education Statistics.
A. AD is parallel to BC For education statistics and research, visit the National Center for Education Statistics.
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 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. \( x=A-13\)
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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= \(\frac{(base 1+base 2)}{2}×height= (\frac{10 + 16}{2})x = A\)
\( →13x = A→x = \frac{A}{13}\)
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