HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #71 : How To Manipulate Numbers

 percent of  is what number?

Possible Answers:

Correct answer:

Explanation:

Multiply  by the decimal version of  percent:

Example Question #71 : Number Manipulation*

 is  percent of what number?

Possible Answers:

Correct answer:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

 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:

Explanation:

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:

Explanation:

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:

Explanation:

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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