### All Common Core: 6th Grade Math Resources

## Example Questions

### Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs of the moulding for the house. How many feet of the material does he need to finish the model?

**Possible Answers:**

**Correct answer:**

We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:

We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.

### Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs of the moulding for the house. How many feet of the material does he need to finish the model?

**Possible Answers:**

**Correct answer:**

We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:

We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.

### Example Question #91 : Ratio And Proportion

A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs of the moulding for the house. How many feet of the material does he need to finish the model?

**Possible Answers:**

**Correct answer:**

We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:

We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.

### Example Question #4 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.

### Example Question #91 : Numbers And Operations

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

The carpenter needs of material.

### Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.

### Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

The carpenter needs of material.

### Example Question #82 : How To Find A Ratio

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.

### Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

The carpenter needs of material.

### Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

**Possible Answers:**

**Correct answer:**

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

Reduce.

The carpenter needs of material.