### All SSAT Middle Level Math Resources

## 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:**

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:**

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:**

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

**Possible Answers:**

**Correct answer:**

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.

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

**Possible Answers:**

**Correct answer:**

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.

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

**Possible Answers:**

**Correct answer:**

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.

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

**Possible Answers:**

**Correct answer:**

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.

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:**

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:**

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:**

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.