10 Most Common 6th Grade Common Core Math Questions
As you know, solving 6th Grade Common Core Math sample questions is one of the best options to strengthen your students’ math skills. In fact, 6th Grade Common Core Math sample questions can help to learn the test topics in depth. Frequent solving of the sample question will increase your students’ mastery and ultimately increase their math scores. For this reason, our experts in this post intended to provide you with 10 of 6th Grade Common Core Math questions. With the help of these questions, your students can determine if their math skills are up to date or if they still need more practice.
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 6th Grade Common Core Math Test
Common Core Math Exercise Book for Grade 6 Student Workbook and Two Realistic Common Core Math Tests
10 Sample 6th Grade Common Core Math Practice Questions
What is the equation of a line that passes through points \((0, 4)\) and \((2, 8)\)?
\(y = x\)
\(y = x + 4\)
\(y = 2x + 4\)
\(y = 2x – 4\)
Show answer and explanation
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:
\( y-y_0=m(x – x_0 )→y-4 = 2(x – 0)→y-4 = 2x→y = 2x + 4\)
What is the volume of a box with the following dimensions?
Height \(= 6\) cm , Width \(= 7\) cm, Length \(= 9\) cm
\(63 \space cm^3\)
\(126\space cm^3\)
\(189\space cm^3\)
\(378\space cm^3\)
Show answer and explanation
D
Volume of a \(box = length × width × height = 6 × 7 × 9 = 378\)
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?
\(\frac{1}{13}\)
\(\frac{3}{13}\)
\(\frac{14}{65}\)
\(\frac{16}{65}\)
Show answer and explanation
B
\(Probability = \frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{15}{14+15+16+20}= \frac{15}{65}=\frac{3}{13}\)
In the following rectangle, which statement is false?
AD is parallel to BC
The measure of the sum of all the angles equals \(360^\circ\).
Length of AB equal to length DC.
AB is perpendicular to AC.
Show answer and explanation
D
In any rectangle, the sides are not perpendicular to the diagonals.
The area of a rectangular yard is 90 square meters. What is its width if its length is 15 meters?
10 meters
8 meters
6 meters
4 meters
Show answer and explanation
C
Let y be the width of the rectangle. Then; \(15×y=90→y=\frac{90}{15}=6\)
Which statement about 4 multiplied by \(\frac{3}{5}\) must be true?
The product is between 1 and 2
The product is greater than 3
The product is equal to \(\frac{75}{31}\)
The product is between 2 and 2.5
Show answer and explanation
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!
Which of the following lists shows the fractions in order from least to greatest?
\(\frac{3}{4}, \frac{2}{7}, \frac{3}{8} , \frac{5}{11}\)
\(\frac{3}{8}, \frac{2}{7}, \frac{3}{4}, \frac{5}{11}\)
\(\frac{2}{7}, \frac{5}{11}, \frac{3}{8}, \frac{3}{4}\)
\(\frac{2}{7}, \frac{3}{8}, \frac{5}{11}, \frac{3}{4}\)
\(\frac{3}{8}, \frac{2}{7}, \frac{5}{11}, \frac{3}{4}\)
Show answer and explanation
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.
A car costing $300 is discounted \(10\%\). Which of the following expressions can be used to find the selling price of the car?
\((300)(0.4)\)
\(300-(300×0.1)\)
\((300)(0.1)\)
\( 300-(300×0.9)\)
Show answer and explanation
B
To find the discount, multiply the number (\(100\%\)- rate of discount)
Therefore; \(300(100\%-10\%)=300(1-0.1)=300-(300×0.1)\)
What is the missing price factor of number 420?
\(420=2^2×3^1×…\)
\(2^2×3^1×5^1×7^1\)
\(2^2×3^1×7^1×9^1\)
\(1^2×2^3×2^1×3^1\)
\(3^2×5^1×7^1×9^1\)
Show answer and explanation
A
\(420=2^2×3^1×5^1×7^1\)
If the area of the following trapezoid is equal to A, which equation represents \(x\)?
\(x = \frac{13}{A}\)
\(x = \frac{A}{13}\)
\( x=A+13\)
\( x=A-13\)
Show answer and explanation
B
The area of the trapezoid is: area= \(\frac{(base 1+base 2)}{2}×height= (\frac{10 + 16}{2})x = A\)
\( →13x = A→x = \frac{A}{13}\)
Best 6th Grade Common Core Math Practice Resource for 2026
The Best Books to Ace 6th Grade Common Core Math Test
Related to This Article
More math articles
- Lightning Roulette’s 500x Multipliers Don’t Help the Math
- OAR Math FREE Sample Practice Questions
- How to Multiply Radical Expressions? (+FREE Worksheet!)
- Math Café: How to Learn the Art of Writing and Solving Two-variable Equations
- What does SAT Stand for?
- Classify Faces of 3–Dimensional Figures
- Free Grade 6 English Worksheets for Massachusetts Students
- Number Properties Puzzle -Critical Thinking 4
- How to Find Length of a Vector
- Unlocking the Secrets of Inscribed Polygons
What people say about "10 Most Common 6th Grade Common Core Math Questions - Effortless Math"?
No one replied yet.