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

## Example Questions

### Example Question #1 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are cars in the parking lot and of them are red. How many red cars are in the parking lot?

**Possible Answers:**

**Correct answer:**

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means *for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

We know that there are cars in the parking lot. We can write the following ratio by substituting the variable for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #2 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are cars in the parking lot and of them are red. How many red cars are in the parking lot?

**Possible Answers:**

**Correct answer:**

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means *for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

We know that there are cars in the parking lot. We can write the following ratio by substituting the variable for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #3 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are cars in the parking lot and of them are red. How many red cars are in the parking lot?

**Possible Answers:**

**Correct answer:**

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means *for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

We know that there are cars in the parking lot. We can write the following ratio by substituting the variable for the number of red cars:

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #81 : Numbers And Operations

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #4 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #5 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #6 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #7 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #8 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.

### Example Question #87 : Numbers And Operations

**Possible Answers:**

**Correct answer:**

*for every hundred*. In the problem, we are told that of the cars are red. In other words, for every hundred cars of them are red. We can write the following ratio:

Reduce.

Now, we can create a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

There are red cars in the parking lot.