### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #121 : How To Find A Ratio

What is the simplest form of the following ratio: 325:50?

**Possible Answers:**

**Correct answer:**

In order to determine the simplest form of a ratio, divide both sides of the ratio by a common factor. If we divide each side of this ratio by 5, we get 65:10.

This can still be simplified by dividing by 5 again.

Therefore, the simplest form of the ratio is 13:2.

### Example Question #5 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys of crown molding to use as accent pieces. He needs of the molding for the house. How many feet of the material does he need to finish the model?

**Possible Answers:**

**Correct answer:**

We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:

We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

The carpenter needs of material.

### Example Question #1 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs of the moulding for the house. How many additional feet of the material will he need to purchase to finish the model?

**Possible Answers:**

**Correct answer:**

We can solve this problem using ratios. There are in . We can write this relationship as the following ratio:

We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable to substitute the amount of feet.

Now, we can solve for by creating a proportion using our two ratios.

Cross multiply and solve for .

Simplify.

Divide both sides by .

Solve.

The carpenter needs of material. Since he already has he will need to purchase more to finish the project.

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