HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #481 : Hspt Quantitative Skills

What is the difference between  and ?

Possible Answers:

Correct answer:

Explanation:

Also follow the order of operations and calculate the exponents first:

Subtract to find the difference:

Example Question #132 : How To Manipulate Numbers

 is  percent of what number?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion, representing the unknown number with an :

Then cross multiply and solve:

 

Example Question #482 : Hspt Quantitative Skills

What is the average of  and ?

Possible Answers:

Correct answer:

Explanation:

First, calculate the exponents:

Then add them together and divide by two to find the average:

Example Question #134 : Number Manipulation*

What is the product of  of  and ?

Possible Answers:

Correct answer:

Explanation:

First, find   of :

Then multiply by :

Example Question #135 : Number Manipulation*

What is  of the number that is  less than ?

Possible Answers:

Correct answer:

Explanation:

First subtract to find  less than :

Then divide to find :

Example Question #483 : Hspt Quantitative Skills

What is  percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply the number by the decimal version of the percent:

Example Question #484 : Hspt Quantitative Skills

What is  less than  of ?

Possible Answers:

Correct answer:

Explanation:

First, find  of :

Then, subtract :

Example Question #485 : Hspt Quantitative Skills

What number, when multiplied by , is  of ?

Possible Answers:

Correct answer:

Explanation:

First find   of :

Then divide by  to reverse the multiplication:

Example Question #486 : Hspt Quantitative Skills

What number is  less than ?

Possible Answers:

Correct answer:

Explanation:

, and . Subtract to find the difference: .

Example Question #491 : Hspt Quantitative Skills

What number is  percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply  by the decimal version of the percent:

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