HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

varsity tutors app store varsity tutors android store

Example Questions

Example Question #101 : How To Manipulate Numbers

What is the difference betwen  and ?

Possible Answers:

Correct answer:

Explanation:

First, calculate the exponents:

Subtract to find the difference:

Example Question #102 : How To Manipulate Numbers

What number, when divided by , is  less than the product of  and ?

Possible Answers:

Correct answer:

Explanation:

First, find the product of  and :

Then find  less than that value:

Finally, multiply by  to reverse the division:

Example Question #103 : How To Manipulate Numbers

What is  pecent of ?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #104 : How To Manipulate Numbers

What number is  less than the product of  and ?

Possible Answers:

Correct answer:

Explanation:

First, find the product of  and :

Then, subtract :

Example Question #105 : How To Manipulate Numbers

 is  percent of what number?

Possible Answers:

Correct answer:

Explanation:

Set up a ratio to solve this problem:

Then cross multiply and solve:

Example Question #106 : How To Manipulate Numbers

What is the difference between  of  and  of ?

Possible Answers:

Correct answer:

Explanation:

First, find the portions:

 of  is 

  of  is 

Subtract to find the difference:

Example Question #107 : How To Manipulate Numbers

What number, when multiplied by , is  less than  of ?

Possible Answers:

Correct answer:

Explanation:

First, find   of :

Then, subtract :

Finally, divide by  to reverse the multiplication:

Example Question #108 : How To Manipulate Numbers

What is  of  of ?

Possible Answers:

Correct answer:

Explanation:

Solve this problem by multiplying the fractions by the number:

Example Question #109 : How To Manipulate Numbers

What is  percent of ?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #110 : How To Manipulate Numbers

What number is  more than the product of  and ?

Possible Answers:

Correct answer:

Explanation:

First, find the product of  and :

Then, add :

Learning Tools by Varsity Tutors