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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 #161 : Number Manipulation*

What is $\frac{3}{2}$ of $\frac{1}{4}$ of ?

Possible Answers:

Correct answer:

Explanation:

Multiply all the fractions and the number together:

$\frac{3}{2}\cdot\frac{1}{4}\cdot\frac{96}{1}=\frac{288}{8}=36$

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Example Question #162 : Number Manipulation*

What number, when multiplied by 2.5 , is $\frac{10}{9}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{10}{9}$ of :

$\frac{10\cdot81}{9}=90$

Then, divide by 2.5 :

$90\div2.5=36$

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Example Question #163 : Number Manipulation*

What is percent of 250 ?

Possible Answers:

210.25

212.5

238

220

Correct answer:

212.5

Explanation:

Multiply 250 by the decimal version of the percentage:

$250\cdot.85=212.5$

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Example Question #164 : Number Manipulation*

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

Possible Answers:

970

9970

9070

Correct answer:

970

Explanation:

First, the product of and is:

$10\cdot3=30$

Second, to the power of is;

$10^3=10\cdot10\cdot10=1000$

Subtract to find the difference:

1000-30=970

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Example Question #165 : Number Manipulation*

What is percent of ?

Possible Answers:

3.5

6.75

Correct answer:

6.75

Explanation:

Multiply by the decimal version of the percent:

$45\cdot.15=6.75$

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Example Question #166 : Number Manipulation*

360 is what percent of 300 ?

Possible Answers:

160

120

Correct answer:

120

Explanation:

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

$\frac{360}{300}=\frac{x}{100}$

Now cross multiply and solve:

300x=36000

$x=\frac{36000}{300}=120$

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Example Question #515 : Hspt Quantitative Skills

What number is $\frac{2}{3}$ of $\frac{3}{2}$ of 5082 ?

Possible Answers:

5082

5123

6599

2326

Correct answer:

5082

Explanation:

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

$\frac{2}{3} \cdot \frac{3}{2} \cdot \frac{5082}{1}=\frac{30492}{6}=5082$

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 5082 .

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Example Question #167 : Number Manipulation*

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

Possible Answers:

730

365

580

810

Correct answer:

730

Explanation:

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

13^2=169

14^2=196

169+196=365

Next, multiply by to reverse the division:

$365\cdot2=730$

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Example Question #168 : Number Manipulation*

What is $\frac{3}{4}$ of $\frac{2}{3}$ of 180 ?

Possible Answers:

120

100

Correct answer:

Explanation:

Multiply all three numbers together to find the answer.

$\frac{180}{1}\cdot\frac{2}{3}\cdot\frac{3}{4}=\frac{1080}{12}=90$

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Example Question #169 : Number Manipulation*

What number, when divided by , equals half of the square root of ?

Possible Answers:

Correct answer:

Explanation:

We can solve this problem by working backwards. First, find the square root of :

$\sqrt{81}=9$

Next, find half of :

$9\div 2=4.5$

Finally, multiply 4.5 by :

$4.5\cdot6=27$

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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 : Number Manipulation*

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #161 : Number Manipulation*

Example Question #162 : Number Manipulation*

Example Question #163 : Number Manipulation*

Example Question #164 : Number Manipulation*

Example Question #165 : Number Manipulation*

Example Question #166 : Number Manipulation*

Example Question #515 : Hspt Quantitative Skills

Example Question #167 : Number Manipulation*

Example Question #168 : Number Manipulation*

Example Question #169 : Number Manipulation*

All HSPT Quantitative Resources

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