### All HSPT Quantitative Resources

## Example Questions

### Example Question #71 : How To Manipulate Numbers

percent of is what number?

**Possible Answers:**

**Correct answer:**

Multiply by the decimal version of percent:

### Example Question #71 : Number Manipulation*

is percent of what number?

**Possible Answers:**

**Correct answer:**

Representing the unknown number with an , we know that . Divide both sides by to solve for :

### Example Question #421 : Hspt Quantitative Skills

What is the difference between and

**Possible Answers:**

**Correct answer:**

Calculate what's in the parentheses before exponents:

Subtract to find the difference:

### Example Question #422 : Hspt Quantitative Skills

What number is percent of ?

**Possible Answers:**

**Correct answer:**

Multiply by the decimal version of percent:

### Example Question #73 : How To Manipulate Numbers

What is less than the product of and ?

**Possible Answers:**

**Correct answer:**

First find the product:

Then subtract :

### Example Question #72 : Number Manipulation*

What is the square root of the number that is less than the product of and ?

**Possible Answers:**

**Correct answer:**

First, find the product of and :

Next, subtract 9:

Finally, the square root of is , because .

### Example Question #73 : Number Manipulation*

What is of percent of ?

**Possible Answers:**

**Correct answer:**

First, find percent of :

Then, find of that value:

### Example Question #74 : Number Manipulation*

What is the average of , , and percent of ?

**Possible Answers:**

**Correct answer:**

First, and percent of is .

Then, add up the numbers and divide by the number of numbers to find the average:

### Example Question #72 : Number Manipulation*

What number, divided by , is equal to ?

**Possible Answers:**

**Correct answer:**

First, .

Second, dividing by is the same as multiplying by . Divide to reverse this:

### Example Question #71 : How To Manipulate Numbers

What number, multiplied by , is of of

**Possible Answers:**

**Correct answer:**

Work backwards to solve this problem. First, percent of is :

Then find of that:

Finally, divide by to reverse the multiplication:

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