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HSPT Quantitative : Number Manipulation*

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 #151 : Number Manipulation*

Waht is the difference between 7^2 and percent of 110 ?

Possible Answers:

Correct answer:

Explanation:

First, $7^2=7\cdot7=49$ .

Second, percent of 110 is $110\cdot.70=77$ .

Then, subtract to find the difference:

77-49=28

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Example Question #152 : Number Manipulation*

is what percent of ?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{.04}{10}=\frac{x}{100}$

Cross multiply and solve:

$10x=.04\cdot100$

$x=\frac{.04\cdot100}{10}=.4$

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Example Question #153 : Number Manipulation*

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

Possible Answers:

180

120

Correct answer:

180

Explanation:

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

$\frac{5\cdot72}{6}=60$

Then, multiply by :

$60\cdot3=180$

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Example Question #154 : Number Manipulation*

What is $\frac{2}{9}$ of $\frac{6}{7}$ of 189 ?

Possible Answers:

Correct answer:

Explanation:

Multiply the fractions and the numbers together:

$\frac{2}{9}\cdot\frac{6}{7}\cdot\frac{189}{1}=\frac{2268}{63}=36$

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Example Question #155 : Number Manipulation*

200 is what percent of ?

Possible Answers:

500

800

Correct answer:

500

Explanation:

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

$\frac{200}{40}=\frac{x}{100}$

Then cross multiply and solve:

$40x=200\cdot100$

$x=\frac{200\cdot100}{40}=500$

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Example Question #156 : How To Manipulate Numbers

What number, when multiplied by , is $\frac{8}{9}$ of 630 ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{8}{9}$ of 630 :

$\frac{8\cdot630}{9}=560$

Then divide by :

$560\div20=28$

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Example Question #151 : How To Manipulate Numbers

What is $\frac{3}{4}$ of $\frac{10}{9}$ of ?

Possible Answers:

Correct answer:

Explanation:

Multiply the fractions and the number together:

$\frac{3}{4}\cdot\frac{10}{9}\cdot\frac{90}{1}=75$

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Example Question #152 : How To Manipulate Numbers

What is the difference between 17^2 and 17^3 ?

Possible Answers:

4896

289

4624

Correct answer:

4624

Explanation:

$17^2 =17\cdot17=289$

and

$17^3=17\cdot17\cdot17=4913$

Subtract to find the difference:

4913-289=4624

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Example Question #153 : How To Manipulate Numbers

What is percent of ?

Possible Answers:

1.2

Correct answer:

1.2

Explanation:

Multiply by the decimal version of percent:

$20\cdot.06=1.2$

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Example Question #155 : Number Manipulation*

is percent of what number?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{15}{x}=\frac{30}{100}$

Cross multiply and solve:

30x=1500

$x=\frac{1500}{30}=50$

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All HSPT Quantitative Resources

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HSPT Quantitative : Number Manipulation*

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #151 : Number Manipulation*

Example Question #152 : Number Manipulation*

Example Question #153 : Number Manipulation*

Example Question #154 : Number Manipulation*

Example Question #155 : Number Manipulation*

Example Question #156 : How To Manipulate Numbers

Example Question #151 : How To Manipulate Numbers

Example Question #152 : How To Manipulate Numbers

Example Question #153 : How To Manipulate Numbers

Example Question #155 : Number Manipulation*

All HSPT Quantitative Resources

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