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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 #61 : Number Manipulation*

What is $\displaystyle 36$ percent of 400 $\displaystyle 400$?

Possible Answers:

210 $\displaystyle 210$

144 $\displaystyle 144$

$\displaystyle 66$

134 $\displaystyle 134$

Correct answer:

144 $\displaystyle 144$

Explanation:

Multiply 400 $\displaystyle 400$ by the decimal version of $\displaystyle 36$ percent to find the answer:

$400\cdot.36=144$ $\displaystyle 400\cdot.36=144$

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Example Question #62 : Number Manipulation*

What number is $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of $\displaystyle 30$ percent of $\displaystyle 80$?

Possible Answers:

$\displaystyle 15$

$\displaystyle 24$

$\displaystyle 12$

$\displaystyle 30$

Correct answer:

$\displaystyle 12$

Explanation:

First, $\displaystyle 30$ percent of $\displaystyle 80$ is $\displaystyle 24$:

$80\cdot.30=24$ $\displaystyle 80\cdot.30=24$

Then, find $\frac{1}{2}$ $\displaystyle \frac{1}{2}$:

$\frac{24}{2}=12$ $\displaystyle \frac{24}{2}=12$

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Example Question #62 : Number Manipulation*

What is the difference between 3^3 $\displaystyle 3^3$ and $3\cdot3$ $\displaystyle 3\cdot3$?

Possible Answers:

$\displaystyle 9$

$\displaystyle 72$

$\displaystyle 90$

$\displaystyle 18$

Correct answer:

$\displaystyle 18$

Explanation:

First, $3^3=3\cdot3\cdot3=27$ $\displaystyle 3^3=3\cdot3\cdot3=27$.

Then, $3\cdot3=9$ $\displaystyle 3\cdot3=9$.

Subtract to find the difference:

27-9=18 $\displaystyle 27-9=18$

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Example Question #64 : Number Manipulation*

$\displaystyle 24$ is $\displaystyle 48$ percent of what number?

Possible Answers:

$\displaystyle 50$

$\displaystyle 52$

$\displaystyle 40$

$\displaystyle 45$

Correct answer:

$\displaystyle 50$

Explanation:

Representing the unknown number with an $\displaystyle x$, we know that 24=.48x $\displaystyle 24=.48x$. Divide both sides by $\displaystyle .48$ to find $\displaystyle x$:

$x=\frac{24}{.48}=50$ $\displaystyle x=\frac{24}{.48}=50$

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Example Question #65 : Number Manipulation*

What is the difference between $\displaystyle 10$ percent of $\displaystyle 60$ and $\displaystyle 60$ percent of 100 $\displaystyle 100$?

Possible Answers:

$\displaystyle 0$

$\displaystyle 60$

$\displaystyle 54$

$\displaystyle 6$

Correct answer:

$\displaystyle 54$

Explanation:

First, find $\displaystyle 10$ percent of $\displaystyle 60$ :

$60\cdot.10=6$ $\displaystyle 60\cdot.10=6$

And $\displaystyle 60$ percent of 100 $\displaystyle 100$:

$100\cdot.60=60$ $\displaystyle 100\cdot.60=60$

Then subtract to find the difference:

60-6=54 $\displaystyle 60-6=54$

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Example Question #66 : Number Manipulation*

What is $\displaystyle 5$ less than $\frac{3}{5}$ $\displaystyle \frac{3}{5}$ of $\displaystyle 85$?

Possible Answers:

$\displaystyle 51$

$\displaystyle 46$

$\displaystyle 47$

$\displaystyle 56$

Correct answer:

$\displaystyle 46$

Explanation:

First, find $\frac{3}{5}$ $\displaystyle \frac{3}{5}$ of $\displaystyle 85$:

$\frac{85\cdot3}{5}=51$ $\displaystyle \frac{85\cdot3}{5}=51$

Then subtract $\displaystyle 5$:

51-5=46 $\displaystyle 51-5=46$

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Example Question #67 : Number Manipulation*

What number, divided by $\displaystyle 3$, equals $\displaystyle 60$ percent of $\displaystyle 90$?

Possible Answers:

$\displaystyle 18$

158 $\displaystyle 158$

162 $\displaystyle 162$

$\displaystyle 54$

Correct answer:

162 $\displaystyle 162$

Explanation:

First, find $\displaystyle 60$ percent of $\displaystyle 90$:

$90\cdot.60=54$ $\displaystyle 90\cdot.60=54$

Then, multiply by $\displaystyle 3$ to reverse the division:

$54\cdot3=162$ $\displaystyle 54\cdot3=162$

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Example Question #68 : Number Manipulation*

What number is $\displaystyle 3$ more than $\frac{5}{6}$ $\displaystyle \frac{5}{6}$ of 180 $\displaystyle 180$?

Possible Answers:

156 $\displaystyle 156$

153 $\displaystyle 153$

150 $\displaystyle 150$

160 $\displaystyle 160$

Correct answer:

153 $\displaystyle 153$

Explanation:

First, find $\frac{5}{6}$ $\displaystyle \frac{5}{6}$ of 180 $\displaystyle 180$:

$\frac{180\cdot5}{6}=150$ $\displaystyle \frac{180\cdot5}{6}=150$

Then, find $\displaystyle 3$ more:

$\displaystyle 150+3=153$

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Example Question #69 : Number Manipulation*

What number, divided by $\displaystyle 6$, is $\displaystyle 15$ percent of $\displaystyle 80$?

Possible Answers:

180 $\displaystyle 180$

$\displaystyle 72$

$\displaystyle 74$

$\displaystyle 60$

Correct answer:

$\displaystyle 72$

Explanation:

First, find $\displaystyle 15$ percent of $\displaystyle 80$:

$80\cdot.15=12$ $\displaystyle 80\cdot.15=12$

Then, multiply by $\displaystyle 6$ to reverse the division:

$12\cdot6=72$ $\displaystyle 12\cdot6=72$

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Example Question #63 : Number Manipulation*

What is the average of $\displaystyle .5$, $\displaystyle 16$, and 4.5 $\displaystyle 4.5$?

Possible Answers:

$\displaystyle 9$

8.5 $\displaystyle 8.5$

$\displaystyle 12$

$\displaystyle 7$

Correct answer:

$\displaystyle 7$

Explanation:

Find the average by adding up all the numbers and dividing by the number of numbers:

$\frac{.5+16+4.5}{3}=7$ $\displaystyle \frac{.5+16+4.5}{3}=7$

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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 #61 : Number Manipulation*

Example Question #62 : Number Manipulation*

Example Question #62 : Number Manipulation*

Example Question #64 : Number Manipulation*

Example Question #65 : Number Manipulation*

Example Question #66 : Number Manipulation*

Example Question #67 : Number Manipulation*

Example Question #68 : Number Manipulation*

Example Question #69 : Number Manipulation*

Example Question #63 : Number Manipulation*

All HSPT Quantitative Resources

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