### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #1 : Percentage

The sales tax rate for a particular locality is 9%. How much will be paid *after tax* for $154.92 worth of groceries?

**Possible Answers:**

**Correct answer:**

Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.

Tax:

Price after tax:

### Example Question #2 : Percentage

What is 250% of 750?

**Possible Answers:**

**Correct answer:**

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

### Example Question #3 : Percentage

The product of two whole numbers is 12. Their difference could be

**Possible Answers:**

**Correct answer:**

The first thing to do is to determine what two numbers multiply to give you 12.

1 and 12

2 and 6

3 and 4

Now find the difference between each of those pairs.

The difference could be 1, 4, or 11. Only 4 is an answer choice.

### Example Question #4 : Percentage

What is 30% of 150?

**Possible Answers:**

**Correct answer:**

One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:

**30% = 0.30**

Then, multiply this number times 150:

Your answer is .

### Example Question #5 : Percentage

If is of , what is of ?

**Possible Answers:**

**Correct answer:**

We can solve for with the algebraic equation:

We can then calculate of :

### Example Question #6 : Percentage

What is of ?

**Possible Answers:**

**Correct answer:**

We can convert to or . We can then calculate .

### Example Question #1 : How To Find The Part From The Whole With Percentage

Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases.

If Susan wants to by a shirt originally priced at $42, how much will she pay?

**Possible Answers:**

$37.80

$21.00

$20.00

$18.90

$16.50

**Correct answer:**

$18.90

The storewide sale discounts the shirt by 50%:

Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:

### Example Question #2 : How To Find The Part From The Whole With Percentage

What is of ?

**Possible Answers:**

**Correct answer:**

of can be rewritten as

### Example Question #3 : How To Find The Part From The Whole With Percentage

What is of ?

**Possible Answers:**

**Correct answer:**

of is equal to:

Cross-cancel:

### Example Question #4 : How To Find The Part From The Whole With Percentage

What is 8,000% of 9,000?

**Possible Answers:**

**Correct answer:**

Taking 8,000%, as a decimal, is equivalent to multiplying it by , so 8,000% of 9,000 is equivalent to

.