# SSAT Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #1 : Grade 6

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #1 : Grade 6

If candidate A receives  votes for every  votes that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  votes. We can write the following ratio.

Now substitute in the given numbers.

We know that candidate B received  votes. Write a new ratio.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify.

Divide both sides of the equation by .

Solve.

### Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #31 : How To Find A Ratio

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #2 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #693 : Ssat Middle Level Quantitative (Math)

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #11 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #32 : Ratio And Proportion

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.

### Example Question #31 : How To Find A Ratio

A motorcycle travels  in . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

Correct answer:

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

Reduce and solve.