# SSAT Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #61 : Algebraic Concepts

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #62 : Algebraic Concepts

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #2 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #51 : Grade 6

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### Example Question #72 : Numbers And Operations

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade  turnips for  ears of corn. If a man has  ears of corn, then how many turnips can he get?

Possible Answers:

Correct answer:

Explanation:

Ratios can be written in the following format:

Using this format, substitute the given information to create a ratio.

Rewrite the ratio as a fraction.

We know that the farmer has  ears of corn. Create a ratio with the variable  that represents how many turnips he can get.

Create a proportion using the two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

The farmer can get .

### 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:

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 #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?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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.