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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 #111 : How To Manipulate Numbers

What is the average of 15^2 , 16^2 , and the product of and ?

Possible Answers:

210

225

239

235

Correct answer:

235

Explanation:

First, calculate each of the three values:

15^2=225

16^2=256

$14\cdot16=224$

Then, find the average by dividing the sum by the number of values:

$\frac{225+256+224}{3}=\frac{705}{3}=235$

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Example Question #112 : How To Manipulate Numbers

is percent of what number?

Possible Answers:

210

810

840

284

Correct answer:

210

Explanation:

Set up a ratio to solve this problem, using an to represent the unknown value:

$\frac{42}{x}=\frac{20}{100}$

Then cross multiply and solve:

$42\cdot100=20x$

4200=20x

$\frac{4200}{20}=x$

210=x

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Example Question #113 : How To Manipulate Numbers

is what percent of 400 ?

Possible Answers:

17.6

176

Correct answer:

Explanation:

Set up a ratio to solve this problem:

$\frac{44}{400}=\frac{x}{100}$

Then cross-multiply and solve:

$44\cdot100=400x$

$\frac{4400}{400}=11=x$

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Example Question #464 : Hspt Quantitative Skills

What number, when multiplied by , is $\frac{1}{3}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{1}{3}$ of :

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

Then, divide by :

$32\div2=16$

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Example Question #114 : How To Manipulate Numbers

What is times $\frac{1}{2}$ of ?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{22}{2}=11$

Next, multiply by :

$11\cdot4=44$

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Example Question #115 : How To Manipulate Numbers

What is percent of 660 ?

Possible Answers:

198

168

212

210

Correct answer:

198

Explanation:

Multiply by the decimal version of percent:

$660\cdot.30=198$

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Example Question #116 : How To Manipulate Numbers

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

Possible Answers:

Correct answer:

Explanation:

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

$\frac{3\cdot52}{4}=39$

Then subtract :

39-6=33

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Example Question #117 : How To Manipulate Numbers

What number, multiplied by , is equal to times the square root of ?

Possible Answers:

Correct answer:

Explanation:

First, find the square root of :

$\sqrt{81}=9$

Then, multiply by :

$9\cdot2=18$

And finally divide by :

$18\div3=6$

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Example Question #466 : Hspt Quantitative Skills

What is percent of 180 ?

Possible Answers:

25.2

Correct answer:

25.2

Explanation:

Set up a ratio to solve this problem, representing the unknown value with an :

$\frac{x}{180}=\frac{14}{100}$

Then cross-multipy and solve:

$180\cdot14=100x$

$\frac{180\cdot14}{100}=\frac{18\cdot 14}{10}=\frac{9\cdot 14}{5}=\frac{126}{5}=25.2=x$

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Example Question #118 : How To Manipulate Numbers

What is the difference between $\frac{1}{3}$ of and $\sqrt{36}$ ?

Possible Answers:

Correct answer:

Explanation:

$\frac{1}{3}$ of is

$\frac{36}{3}=12$

and $\sqrt{36}$ is (because $6\cdot6=36$ )

Subtract to find the difference:

12-6=6

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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 #111 : How To Manipulate Numbers

Example Question #112 : How To Manipulate Numbers

Example Question #113 : How To Manipulate Numbers

Example Question #464 : Hspt Quantitative Skills

Example Question #114 : How To Manipulate Numbers

Example Question #115 : How To Manipulate Numbers

Example Question #116 : How To Manipulate Numbers

Example Question #117 : How To Manipulate Numbers

Example Question #466 : Hspt Quantitative Skills

Example Question #118 : How To Manipulate Numbers

All HSPT Quantitative Resources

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