# ISEE Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

200 percent of what number is equal to the difference between 75 and 25?

Explanation:

We must first start by finding the difference between and :

Next find the decimal equivalent of %, which is done by dividing by :

Now we divide by .

Our final answer is , because when it is multiplied by %, it equals the difference between and .

Solve:

Explanation:

### Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a game if it is % off the original price of ?

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

### Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a carton of milk if it is % off the original price of ?

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

### Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a pair of shoes if it is % off the original price of ?

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

### Example Question #21 : Percentages

Find the equivalent of %.

Explanation:

Divide:

### Example Question #21 : Percentages

Find the equivalent of %.

Explanation:

Divide:

### Example Question #21 : Percentages

Find the equivalent of %.

Explanation:

Divide:

### Example Question #21 : Percentages

Find the equivalent of %.

Explanation:

Divide:

### Example Question #21 : How To Work With Percentages

A sweater costs 100 dollars. It is then discounted 20%. A week later it is discounted another 25%. What is the final price of the sweater?

50 dollars

45 dollars

55 dollars

60 dollars

60 dollars

Explanation:

When the 100 dollar shirt is discounted 20%, it will be discounted 20 dollars, leaving the price at 80 dollars.

When 80 dollars is then discounted another 25%, that value is equal to another 20 dollars.

100 dollars less 20 dollars, less another 20 dollars is 60 dollars.

Thus, 60 dollars is the final price.