# SSAT Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #61 : Ratios & Proportional Relationships

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?

Explanation:

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 #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?

Explanation:

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 #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?

Explanation:

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 #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?

Explanation:

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 #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?

Explanation:

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 #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?

Explanation:

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?

Explanation:

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

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?

Explanation:

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 #2102 : Psat Mathematics

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?

Explanation:

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?

Explanation:

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.

The carpenter needs  of material.