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HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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All HSPT Quantitative Resources

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

Example Questions

Example Question #141 : How To Manipulate Numbers

What number, when multiplied by , equals the product of and ?

Possible Answers:

Correct answer:

Explanation:

First find the product of and :

$13\cdot12=156$

Then divide by :

$156\div4=39$

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Example Question #142 : How To Manipulate Numbers

What is the difference between $\frac{5}{6}$ and $\frac{2}{3}$ ?

Possible Answers:

$\frac{1}{5}$

$\frac{1}{3}$

$\frac{1}{6}$

$\frac{3}{8}$

Correct answer:

$\frac{1}{6}$

Explanation:

Converted to have a common denominator, the problem reads:

What is the difference between $\frac{5}{6}$ and $\frac{4}{6}$ ?

Subtract to find the difference:

$\frac{5}{6}-\frac{4}{6}=\frac{1}{6}$

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Example Question #143 : How To Manipulate Numbers

0.2 is percent of what number?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{.2}{x}=\frac{80}{100}$

Then cross multiply and solve:

$.2\cdot100=80x$

$\frac{.2\cdot100}{80}=.25=x$

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Example Question #144 : How To Manipulate Numbers

What is percent of ?

Possible Answers:

Correct answer:

Explanation:

Multiply by the decimal version of the percent:

$90\cdot.60=54$

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Example Question #145 : How To Manipulate Numbers

What number is less than the product of and ?

Possible Answers:

Correct answer:

Explanation:

First, multiply and :

$12\cdot7=84$

Then, subtract :

84-7=77

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Example Question #146 : How To Manipulate Numbers

What is $\frac{1}{3}$ of $\frac{6}{7}$ ?

Possible Answers:

$\frac{2}{7}$

$\frac{2}{21}$

$\frac{7}{18}$

$\frac{6}{10}$

Correct answer:

$\frac{2}{7}$

Explanation:

Multiply the fractions to find the answer:

$\frac{1}{3}\cdot\frac{6}{7}=\frac{6}{21}=\frac{2}{7}$

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Example Question #147 : How To Manipulate Numbers

What number, multiplied by , equals the square root of 144 ?

Possible Answers:

Correct answer:

Explanation:

The square root of 144 is , because $12\cdot12=144$ . Then, divide by :

$12\div6=2$

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Example Question #148 : Number Manipulation*

What is less than $\frac{2}{3}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{2}{3}$ of :

$\frac{2\cdot48}{3}=32$

Then, subtract :

32-19=13

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Example Question #148 : How To Manipulate Numbers

What is $\frac{9}{10}$ of $\frac{10}{9}$ ?

Possible Answers:

$\frac{90}{100}$

$\frac{9}{10}$

Correct answer:

Explanation:

Multiply the fractions, then simplify:

$\frac{9}{10}\cdot\frac{10}{9}=\frac{90}{90}=1$

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Example Question #150 : Number Manipulation*

is percent of what number?

Possible Answers:

2.6

3.9

Correct answer:

Explanation:

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

$\frac{13}{x}=\frac{20}{100}$

Then cross multiply:

$20x=13\cdot100$

20x=1300

Solve:

$x=\frac{1300}{20}=65$

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All HSPT Quantitative Resources

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

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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 #141 : How To Manipulate Numbers

Example Question #142 : How To Manipulate Numbers

Example Question #143 : How To Manipulate Numbers

Example Question #144 : How To Manipulate Numbers

Example Question #145 : How To Manipulate Numbers

Example Question #146 : How To Manipulate Numbers

Example Question #147 : How To Manipulate Numbers

Example Question #148 : Number Manipulation*

Example Question #148 : How To Manipulate Numbers

Example Question #150 : Number Manipulation*

All HSPT Quantitative Resources

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