### All 7th Grade Math Resources

## Example Questions

### Example Question #1 : Number Sense

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

**Possible Answers:**

**Correct answer:**

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.

### Example Question #2 : Number Sense

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of , what is the actual length of the yard?

**Possible Answers:**

**Correct answer:**

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is . We can set up a proportion to solve for the actual length of the rectangle, .

Next, we cross multiply and solve for :