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HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : How To Manipulate Numbers

What number is less than 250 percent of ?

Possible Answers:

Correct answer:

Explanation:

First, find 250 percent of :

$38\cdot2.50=95$

Then, subtract :

95-16=79

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Example Question #41 : How To Manipulate Numbers

What is less than $\frac{3}{4}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{3}{4}$ of :

$\frac{80\cdot3}{4}=60$

Then, subtract :

60-22=38

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Example Question #43 : How To Manipulate Numbers

What is percent of percent of 200 ?

Possible Answers:

Correct answer:

Explanation:

percent of 200 is 180 :

$200\cdot.90=180$

percent of 180 is :

$180\cdot.15=27$

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Example Question #42 : How To Manipulate Numbers

What is the difference between 6^2 and 6^3 ?

Possible Answers:

216

180

Correct answer:

180

Explanation:

First, calculate the exponents:

$6^2=6\cdot6=36$

$6^3=6\cdot6\cdot6=216$

Then subtract to find the difference:

216-36=180

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Example Question #43 : How To Manipulate Numbers

What is the average of $\frac{1}{2}$ , $\frac{3}{4}$ , and ?

Possible Answers:

$\frac{7}{8}$

$\frac{3}{4}$

$\frac{5}{8}$

$\frac{2}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

To calculate the average, you can add up the three numbers and divide by three (the number of elements):

$\frac{\frac{1}{2}+\frac{3}{4}+1}{3}=\frac{\frac{9}{4}}{3}=\frac{3}{4}$

Also, if the numbers are evenly spaced, the middle number will be the average.

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Example Question #44 : How To Manipulate Numbers

What number is less than $\frac{1}2{}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{1}2{}$ of :

$\frac{48}{2}=24$

Then, subtract :

24-7=17

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Example Question #47 : How To Manipulate Numbers

is percent of what number?

Possible Answers:

100

Correct answer:

Explanation:

Representing the unknown number with an , we know that 15=.20x . Solve for by dividing both sides by :

$x=15\div.20=75$

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Example Question #45 : How To Manipulate Numbers

What number, when divided by , is $\frac{5}{6}$ of 180 ?

Possible Answers:

440

450

150

350

Correct answer:

450

Explanation:

First, find $\frac{5}{6}$ of 180 :

$\frac{180\cdot5}{6}=150$

Then, multiply by to reverse the division:

$150\cdot3=450$

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Example Question #45 : Number Manipulation*

What is $\frac{3}{4}$ of percent of ?

Possible Answers:

Correct answer:

Explanation:

First, find percent of :

$60\cdot.60=36$

Then, find $\frac{3}{4}$ of that:

$\frac{36\cdot3}{4}=27$

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Example Question #48 : How To Manipulate Numbers

What is $\frac{1}{3}$ of less than 122 ?

Possible Answers:

Correct answer:

Explanation:

First, subtract from 122 :

122-26=96

Then, find $\frac{1}{3}$ :

$\frac{96}{3}=32$

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All HSPT Quantitative Resources

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HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #41 : How To Manipulate Numbers

Example Question #41 : How To Manipulate Numbers

Example Question #43 : How To Manipulate Numbers

Example Question #42 : How To Manipulate Numbers

Example Question #43 : How To Manipulate Numbers

Example Question #44 : How To Manipulate Numbers

Example Question #47 : How To Manipulate Numbers

Example Question #45 : How To Manipulate Numbers

Example Question #45 : Number Manipulation*

Example Question #48 : How To Manipulate Numbers

All HSPT Quantitative Resources

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