HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #155 : How To Manipulate Numbers

 is  percent of what number?

Possible Answers:

Correct answer:

Explanation:

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

Cross multiply and solve:

Example Question #161 : How To Manipulate Numbers

What is  of  of ?

Possible Answers:

Correct answer:

Explanation:

Multiply all the fractions and the number together:

Example Question #162 : How To Manipulate Numbers

What number, when multiplied by , is  of ?

Possible Answers:

Correct answer:

Explanation:

First, find   of :

Then, divide by :

Example Question #163 : How To Manipulate Numbers

What is  percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply  by the decimal version of the percentage:

Example Question #164 : How To Manipulate Numbers

What is the difference between the product of  and  and  to the power of ?

Possible Answers:

Correct answer:

Explanation:

First, the product of  and  is:

Second,  to the power of  is;

Subtract to find the difference:

 

Example Question #165 : How To Manipulate Numbers

What is  percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply  by the decimal version of the percent:

Example Question #166 : How To Manipulate Numbers

 is what percent of ?

Possible Answers:

Correct answer:

Explanation:

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

Now cross multiply and solve:

Example Question #164 : How To Manipulate Numbers

What number is  of  of ?

Possible Answers:

Correct answer:

Explanation:

Normally, we would multiply the fractions and the number together to find the answer:

If you don't want to go through all those computations, notice that the 's and 's cancel each other out, leaving us with the number .

Example Question #168 : How To Manipulate Numbers

What number, divided by , equals the sum of the squares of  and ?

Possible Answers:

Correct answer:

Explanation:

First, find the squares of  and  and add them together:

Next, multiply by  to reverse the division:

Example Question #167 : How To Manipulate Numbers

What is  of  of ?

Possible Answers:

Correct answer:

Explanation:

Multiply all three numbers together to find the answer.

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