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HSPT Quantitative : HSPT Quantitative Skills

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 #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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Example Question #521 : Hspt Quantitative Skills

is what percentage of ?

Possible Answers:

$0.175\%$

$17.5\%$

$5.71\%$

$1.12\%$

Correct answer:

$17.5\%$

Explanation:

First, divide by :

$14\div 80=0.175$

Next, convert to a percentage by multiplying by 100 :

$0.175\cdot100=17.5\%$

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Example Question #171 : Number Manipulation*

What is $45\%$ of ?

Possible Answers:

7.2

7.5

Correct answer:

7.2

Explanation:

Multiply by $45\%$ , or 0.45 :

$16\cdot0.45=7.2$

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Example Question #521 : Hspt Quantitative Skills

What number, when divided by the product of and 3.5 , equals the square root of ?

Possible Answers:

58.5

168

Correct answer:

168

Explanation:

Work backwards to solve this problem. First, the product of and 3.5 is 118 :

$16\cdot3.5=56$

Next, the square root of is :

$\sqrt{9}=3$

Now, the question is, "What number, when divided by , equals ?" This can also be written as:

$\frac{x}{56}=3$

Multiply both sides by to find :

$x=56\cdot3=168$

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Example Question #522 : Hspt Quantitative Skills

What number added to 15 gives you $\dpi{100} \frac{1}{4}$ of 72 ?

Possible Answers:

$\dpi{100} 6$

$\dpi{100} 4$

$\dpi{100} 12$

$\dpi{100} 3$

Correct answer:

$\dpi{100} 3$

Explanation:

Set up an equation using the information provided.

$\dpi{100} 15+x=\frac{1}{4}\cdot 72$

$\dpi{100} 15+x=18$

$\dpi{100} 15+x-15=18-15$

$\dpi{100} x=3$

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Example Question #174 : Number Manipulation*

is percent of what number?

Possible Answers:

1500

150

120

1200

Correct answer:

1200

Explanation:

Set up a proportion, representing the unknown number with :

$\frac{60}{x}=\frac{5}{100}$

Then cross multiply and solve:

6000=5x

$x=\frac{6000}{5}=1200$

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Example Question #175 : Number Manipulation*

What number, when divided by , is half the product of and ?

Possible Answers:

404

415

298

312

Correct answer:

312

Explanation:

First find the product of and :

$13\cdot8=104$

Then find half the product by dividing by 2:

$104\div2=52$

Now multiply by to reverse the division:

$52\cdot6=312$

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Example Question #174 : Number Manipulation*

What is percent of ?

Possible Answers:

12.05

10.24

Correct answer:

10.24

Explanation:

Multipy by the decimal version of the percentage:

$64\times .16=10.24$

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Example Question #175 : Number Manipulation*

What is percent of 106 ?

Possible Answers:

7.3

6.36

$6.\overline{66}$

Correct answer:

6.36

Explanation:

Multiply the number by the decimal version of the percentage:

$106\times .06=6.36$

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Example Question #178 : Number Manipulation*

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

Possible Answers:

Correct answer:

Explanation:

First, less than is:

93-13=80

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

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

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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 : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #169 : Number Manipulation*

Example Question #521 : Hspt Quantitative Skills

Example Question #171 : Number Manipulation*

Example Question #521 : Hspt Quantitative Skills

Example Question #522 : Hspt Quantitative Skills

Example Question #174 : Number Manipulation*

Example Question #175 : Number Manipulation*

Example Question #174 : Number Manipulation*

Example Question #175 : Number Manipulation*

Example Question #178 : Number Manipulation*

All HSPT Quantitative Resources

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