Ratios & Proportional Relationships

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7th Grade Math › Ratios & Proportional Relationships

Questions 1 - 10
1

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

Explanation

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.

2

In a high school, the ratio of freshmen to seniors is . If there are seniors, how many freshmen are there?

Explanation

Set up the following proportion, with being the number of freshmen.

Now, cross-multiply and solve for .

3

In a high school, the ratio of freshmen to seniors is . If there are seniors, how many freshmen are there?

Explanation

Set up the following proportion, with being the number of freshmen.

Now, cross-multiply and solve for .

4

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

Explanation

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.

5

Write as a unit rate: revolutions in minutes

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

Explanation

Divide the number of revolutions by the number of minutes to get revolutions per minute:

,

making revolutions per minute the correct choice.

6

What number increased by 25% is equal to 7?

Explanation

To increase a number by 25% is to take

of the number, or, equivalently, multiply it by

.

Therefore, we divide 7 by :

, so

.

7

What number increased by 25% is equal to 7?

Explanation

To increase a number by 25% is to take

of the number, or, equivalently, multiply it by

.

Therefore, we divide 7 by :

, so

.

8

Write as a unit rate: revolutions in minutes

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

Explanation

Divide the number of revolutions by the number of minutes to get revolutions per minute:

,

making revolutions per minute the correct choice.

9

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

Explanation

First, find the cost per marker.

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

10

A sweater was originally , but the department store is running a off sale. What is the sale price of the sweater?

Explanation

In order to solve this problem, we need to calculate of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking off the original price, which means we need to subtract.

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