HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #121 : How To Manipulate Numbers

What number is  less than the difference between  and ?

Possible Answers:

Correct answer:

Explanation:

 is  

and 

 is 

Subtract to find the difference:

Then subtract :

Example Question #122 : How To Manipulate Numbers

What is the difference between  and the product of  and ?

Possible Answers:

Correct answer:

Explanation:

 

Next, 

Subtract to find the difference:

Example Question #123 : How To Manipulate Numbers

What is  percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply  by the decimal version of  percent to solve this problem:

Example Question #124 : How To Manipulate Numbers

What number is  less than the greatest prime less than ?

Possible Answers:

Correct answer:

Explanation:

The greatest prime less than  is . This means that it is the largest number less than twenty whose only factors are  and itself. Now subtract :

Example Question #125 : How To Manipulate Numbers

What is the difference between  and ?

Possible Answers:

Correct answer:

Explanation:

First, calculate the exponents:

Subtract to find the difference:

Example Question #126 : How To Manipulate Numbers

What is  of the product of  and ?

Possible Answers:

Correct answer:

Explanation:

First, find the product:

Then, find half:

Example Question #127 : How To Manipulate Numbers

 is  percent of what number?

 

Possible Answers:

Correct answer:

Explanation:

Set up a proportion to solve this problem:

Cross multiply and solve:

Example Question #128 : How To Manipulate Numbers

What is  of ?

Possible Answers:

Correct answer:

Explanation:

Divide by  to find :

Example Question #129 : How To Manipulate Numbers

What is  percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply by the decimal version of the percent to find the answer:

Example Question #130 : How To Manipulate Numbers

 is what percent of ?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion to solve this problem, with  representing the unknown percent:

Then multiply both sides by  to solve for :

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