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

## Example Questions

### Example Question #1 : Solving Word Problems With One Unit Conversions

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 #1 : Conversions

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 #2 : Conversions

**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 #481 : New Sat

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 additional feet of the material will he need to purchase to finish the model?

**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. Since he already has he will need to purchase more to finish the project.

### Example Question #1 : Solving Word Problems With One Unit Conversion

**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 : Solving Word Problems With One Unit Conversion

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

**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 #8 : 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 #2 : Solving Word Problems With One Unit Conversions

**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 : Grade 6

**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.