Common Core 6th Grade Math Worksheets

6th grade math can sometimes be a challenging subject to tackle. Thankfully, there are plenty of resources available to help students succeed in this crucial stage of their education. One such resource is worksheets, which provide a valuable tool for practicing and reinforcing math concepts. Whether you're a teacher looking for additional exercises for your students or a parent wanting to support your child's learning at home, using Common Core 6th grade math worksheets can be a beneficial way to enhance understanding and mastery of key math skills.

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  Fraction Decimal Percent Coloring Worksheet

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  Multi-Step Math Word Problems Worksheets

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  4th Grade Sight Words Printable

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  4th Grade Sight Words Printable

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What is the area of a rectangle with a length of 8 units and a width of 5 units?

The area of a rectangle is calculated by multiplying the length by the width. In this case, the length is 8 units and the width is 5 units, so the area of the rectangle is 8 units x 5 units = 40 square units.

Solve the equation 3x + 5 = 17.

To solve the equation 3x + 5 = 17, first we need to isolate the variable x. Subtracting 5 from both sides gives 3x = 12. Then, dividing both sides by 3 gives x = 4. Therefore, the solution to the equation is x = 4.

Simplify the expression 4(2x + 3) - 2(5x - 1).

Simplifying 4(2x + 3) - 2(5x - 1) results in 8x + 12 - 10x + 2, which simplifies further to -2x + 14.

Divide 2/3 by 5/6 and express the answer in simplest form.

To divide 2/3 by 5/6, you multiply 2/3 by the reciprocal of 5/6, which is 6/5. So, (2/3) ÷ (5/6) = (2/3) x (6/5) = 12/15 = 4/5. Therefore, 2/3 divided by 5/6 is equal to 4/5 in simplest form.

Find the slope of a line passing through the points (2, 4) and (6, 10).

The slope of a line passing through the points (2, 4) and (6, 10) can be calculated using the formula: slope = (y2 - y1) / (x2 - x1). By plugging in the values, the calculation becomes: slope = (10 - 4) / (6 - 2) = 6 / 4 = 3/2. Therefore, the slope of the line passing through these two points is 3/2.

Calculate the volume of a cube with a side length of 3 units.

The volume of a cube is calculated using the formula V = s^3, where s is the length of a side of the cube. In this case, if the side length of the cube is 3 units, then the volume would be 3^3 = 27 cubic units. Therefore, the volume of a cube with a side length of 3 units is 27 cubic units.

Solve the inequality 2x + 5 > 15 for x.

To solve the inequality 2x + 5 > 15 for x, we first subtract 5 from both sides to isolate the variable x. This gives us 2x > 10. Next, we divide both sides by 2 to solve for x, resulting in x > 5. Therefore, the solution to the inequality 2x + 5 > 15 is x > 5.

Simplify the expression ?(49/16) + ?(27/8).

To simplify the expression, first simplify the square root of 49/16 to be 7/4, and the cube root of 27/8 to be 3/2. Then, add these simplified values together to get the final result as 7/4 + 3/2, which can be further simplified to 11/4.

Find the mean, median, and mode of the data set: 4, 6, 2, 8, 4.

The mean of the data set is calculated by adding all the numbers together and dividing by the total number of values, giving us (4+6+2+8+4)/5 = 4.8. The median is the middle value when the numbers are arranged in order, which in this case is 4. The mode is the number that appears most frequently in the data set, which is 4. Therefore, the mean is 4.8, the median is 4, and the mode is 4.

Determine the probability of selecting a red marble from a bag containing 6 red marbles and 10 blue marbles.

The probability of selecting a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles in the bag, which is 6 red marbles out of 16 total marbles. Therefore, the probability of selecting a red marble is 6/16, which simplifies to 3/8 or 0.375, or 37.5%.