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HSPT Quantitative : HSPT Quantitative Skills

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6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #40 : How To Manipulate Numbers

$\displaystyle 62$ is $\displaystyle 25$ percent of what number?

Possible Answers:

248 $\displaystyle 248$

260 $\displaystyle 260$

186 $\displaystyle 186$

120 $\displaystyle 120$

Correct answer:

248 $\displaystyle 248$

Explanation:

If we represent the unknown number with an $\displaystyle x$, we have 62=.25x $\displaystyle 62=.25x$. Divide both sides by $\displaystyle .25$ to solve for $\displaystyle x$:

$\displaystyle x=62/.25=248$

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Example Question #41 : Number Manipulation*

What number is $\displaystyle 16$ less than 250 $\displaystyle 250$ percent of $\displaystyle 38$?

Possible Answers:

$\displaystyle 79$

$\displaystyle 95$

$\displaystyle 86$

$\displaystyle 52$

Correct answer:

$\displaystyle 79$

Explanation:

First, find 250 $\displaystyle 250$ percent of $\displaystyle 38$:

$38\cdot2.50=95$ $\displaystyle 38\cdot2.50=95$

Then, subtract $\displaystyle 16$:

$\displaystyle 95-16=79$

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Example Question #42 : Number Manipulation*

What is $\displaystyle 22$ less than $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of $\displaystyle 80$?

Possible Answers:

$\displaystyle 35$

$\displaystyle 38$

$\displaystyle 48$

$\displaystyle 60$

Correct answer:

$\displaystyle 38$

Explanation:

First, find $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of $\displaystyle 80$:

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

Then, subtract $\displaystyle 22$:

$\displaystyle 60-22=38$

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Example Question #43 : Number Manipulation*

What is $\displaystyle 15$ percent of $\displaystyle 90$ percent of 200 $\displaystyle 200$?

Possible Answers:

$\displaystyle 16$

$\displaystyle 27$

$\displaystyle 35$

$\displaystyle 37$

Correct answer:

$\displaystyle 27$

Explanation:

$\displaystyle 90$ percent of 200 $\displaystyle 200$ is 180 $\displaystyle 180$:

$200\cdot.90=180$ $\displaystyle 200\cdot.90=180$

$\displaystyle 15$ percent of 180 $\displaystyle 180$ is $\displaystyle 27$:

$180\cdot.15=27$ $\displaystyle 180\cdot.15=27$

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Example Question #44 : Number Manipulation*

What is the difference between 6^2 $\displaystyle 6^2$ and 6^3 $\displaystyle 6^3$?

Possible Answers:

$\displaystyle 36$

216 $\displaystyle 216$

$\displaystyle 6$

180 $\displaystyle 180$

Correct answer:

180 $\displaystyle 180$

Explanation:

First, calculate the exponents:

$6^2=6\cdot6=36$ $\displaystyle 6^2=6\cdot6=36$

$6^3=6\cdot6\cdot6=216$ $\displaystyle 6^3=6\cdot6\cdot6=216$

Then subtract to find the difference:

$\displaystyle 216-36=180$

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Example Question #45 : Number Manipulation*

What is the average of $\frac{1}{2}$ $\displaystyle \frac{1}{2}$, $\frac{3}{4}$ $\displaystyle \frac{3}{4}$, and $\displaystyle 1$?

Possible Answers:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

Correct answer:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Explanation:

To calculate the average, you can add up the three numbers and divide by three (the number of elements):

$\frac{\frac{1}{2}+\frac{3}{4}+1}{3}=\frac{\frac{9}{4}}{3}=\frac{3}{4}$ $\displaystyle \frac{\frac{1}{2}+\frac{3}{4}+1}{3}=\frac{\frac{9}{4}}{3}=\frac{3}{4}$

Also, if the numbers are evenly spaced, the middle number will be the average.

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Example Question #46 : Number Manipulation*

What number is $\displaystyle 7$ less than $\frac{1}2{}$ $\displaystyle \frac{1}2{}$ of $\displaystyle 48$?

Possible Answers:

$\displaystyle 22$

$\displaystyle 17$

$\displaystyle 16$

$\displaystyle 24$

Correct answer:

$\displaystyle 17$

Explanation:

First, find $\frac{1}2{}$ $\displaystyle \frac{1}2{}$ of $\displaystyle 48$:

$\frac{48}{2}=24$ $\displaystyle \frac{48}{2}=24$

Then, subtract $\displaystyle 7$:

24-7=17 $\displaystyle 24-7=17$

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Example Question #47 : Number Manipulation*

$\displaystyle 15$ is $\displaystyle 20$ percent of what number?

Possible Answers:

$\displaystyle 70$

$\displaystyle 75$

$\displaystyle 85$

100 $\displaystyle 100$

Correct answer:

$\displaystyle 75$

Explanation:

Representing the unknown number with an $\displaystyle x$, we know that 15=.20x $\displaystyle 15=.20x$. Solve for $\displaystyle x$ by dividing both sides by $\displaystyle .20$:

$x=15\div.20=75$ $\displaystyle x=15\div.20=75$

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Example Question #48 : Number Manipulation*

What number, when divided by $\displaystyle 3$, is $\frac{5}{6}$ $\displaystyle \frac{5}{6}$ of 180 $\displaystyle 180$?

Possible Answers:

450 $\displaystyle 450$

350 $\displaystyle 350$

440 $\displaystyle 440$

150 $\displaystyle 150$

Correct answer:

450 $\displaystyle 450$

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

$150\cdot3=450$ $\displaystyle 150\cdot3=450$

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Example Question #49 : Number Manipulation*

What is $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of $\displaystyle 60$ percent of $\displaystyle 60$?

Possible Answers:

$\displaystyle 65$

$\displaystyle 75$

$\displaystyle 27$

$\displaystyle 30$

Correct answer:

$\displaystyle 27$

Explanation:

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

$60\cdot.60=36$ $\displaystyle 60\cdot.60=36$

Then, find $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of that:

$\frac{36\cdot3}{4}=27$ $\displaystyle \frac{36\cdot3}{4}=27$

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All HSPT Quantitative Resources

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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 #40 : How To Manipulate Numbers

Example Question #41 : Number Manipulation*

Example Question #42 : Number Manipulation*

Example Question #43 : Number Manipulation*

Example Question #44 : Number Manipulation*

Example Question #45 : Number Manipulation*

Example Question #46 : Number Manipulation*

Example Question #47 : Number Manipulation*

Example Question #48 : Number Manipulation*

Example Question #49 : Number Manipulation*

All HSPT Quantitative Resources

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