### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #1 : Ratios & Proportional Relationships

A factory can make tents in minutes. At this rate, how long, in minutes, would it take the factory to make tents?

**Possible Answers:**

**Correct answer:**

First, find out how long it takes the factory to produce tent.

Since it takes the factory minutes to make tent, multiply this number by to find how long it takes to make tents.

It will take the factory minutes to make tents.

### Example Question #1 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

If Billy can drink cans of soda in days, how many cans of soda can he drink in days?

**Possible Answers:**

**Correct answer:**

First, find how many cans of soda Billy can drink in 1 day.

Since, he can drink cans in day, then the following equation will tell us how many cans he drinks in days.

### Example Question #1 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

It costs to buy markers. How much would it cost to buy markers?

**Possible Answers:**

**Correct answer:**

First, find the cost per marker.

Now, multiply this cost per marker by , the number of markers we want.

### Example Question #5 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

A gallon tank of water is leaking gallons every minutes. After how many hours will the tank be empty?

**Possible Answers:**

**Correct answer:**

Set up the following proportion:

,

where is the number of hours it'll take to empty gallons.

Now solve for .

### Example Question #1 : How To Find Rate

Julie can read pages in minutes. How long, in minutes, would it take Julie to read a book that had pages?

**Possible Answers:**

**Correct answer:**

First, figure out how long it takes Julie to read 1 page.

It takes Julie minutes to read one page. Now, multiply this by the number of pages she needs to read to find out how long it will take her.

It will take Julie minutes to read pages.

### Example Question #1 : Grade 7

If it takes Dennis minutes to paint walls, how many minutes does it take him to paint wall?

**Possible Answers:**

**Correct answer:**

Divide the time it take Dennis to paint walls by the number of walls he painted to find how long it will take him to paint one wall.

It will take Dennis minutes to paint one wall.

### Example Question #1 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

An arcade charges players to play on the machine for minutes. How much money would it cost a player if she wanted to play for an hour?

**Possible Answers:**

**Correct answer:**

First, find out how much money it costs to play for one minute.

Now, multiply this amount by the number of minutes in an hour to find how much it will cost for the player to play for one hour.

It will cost her to play for one hour.

### Example Question #9 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

If a doctor charges per hour for her services, how much would it cost to hire this doctor for minutes?

**Possible Answers:**

**Correct answer:**

First, convert the minutes to hours.

Since minutes is hours, multiply this by the doctor's hourly rate to find how much it will cost to hire this doctor for minutes.

A dentist charges per hour for the first three hours of an appointment. Any amount of time greater than three hours is charged at per hour. If a patient had a hour long appointment, how much would this appointment cost?

**Possible Answers:**

**Correct answer:**

Use the dentist's rate to find how much the first three hours of the appointment will cost.

Next, use the dentist's second rate to find out how much the last five hours of the appointment will cost.

Now, add these values together to get the cost of the entire appointment.

### Example Question #1 : How To Find Rate

On a map, . If two cities are apart on the map, how many miles apart are they in reality?

**Possible Answers:**

**Correct answer:**

Set up the following proportion:

,

where is the number of miles the cities are apart.

Now, solve for .

The two cities are miles apart.

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