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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 #91 : Number Manipulation*

$\displaystyle 32$ is what percent of 200 $\displaystyle 200$?

Possible Answers:

$\displaystyle 16$

$\displaystyle 70$

$\displaystyle 64$

$\displaystyle 8$

Correct answer:

$\displaystyle 16$

Explanation:

To find a percent, divide the "is" number ($\displaystyle 32$ is) by the "of" number (of 200 $\displaystyle 200$):

$32\div 200=.16$ $\displaystyle 32\div 200=.16$

Then move the decimal to the right twice to convert to a percent:

$\displaystyle 16$ percent

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Example Question #92 : Number Manipulation*

What is the difference between 13^2 $\displaystyle 13^2$ and 14^2 $\displaystyle 14^2$?

Possible Answers:

$\displaystyle 14$

$\displaystyle 30$

$\displaystyle 27$

$\displaystyle 13$

Correct answer:

$\displaystyle 27$

Explanation:

$\displaystyle 13^2=169$ and $\displaystyle 14^2=196$. Subtract to find the difference:

$\displaystyle 196-169=27$

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Example Question #93 : Number Manipulation*

What number, divided by $\displaystyle 3$, is $\displaystyle 16$ less than the square root of 10,000 $\displaystyle 10,000$?

Possible Answers:

1013 $\displaystyle 1013$

$\displaystyle 84$

252 $\displaystyle 252$

2952 $\displaystyle 2952$

Correct answer:

252 $\displaystyle 252$

Explanation:

First, the square root of 10,000 $\displaystyle 10,000$ is 100 $\displaystyle 100$, because $100\cdot100=10,000$ $\displaystyle 100\cdot100=10,000$.

Next, subtract $\displaystyle 16$:

$\displaystyle 100-16=84$

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

$84\cdot3-252$ $\displaystyle 84\cdot3-252$

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Example Question #94 : Number Manipulation*

What is $\displaystyle 20$ percent of 150 $\displaystyle 150$?

Possible Answers:

$\displaystyle 40$

$\displaystyle 30$

$\displaystyle 25$

$\displaystyle 45$

Correct answer:

$\displaystyle 30$

Explanation:

Multiply 150 $\displaystyle 150$ by the decimal version of $\displaystyle 20$ percent:

$150\cdot0.20 = 30$ $\displaystyle 150\cdot0.20 = 30$

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Example Question #95 : Number Manipulation*

What is $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of $\displaystyle 6$ times $\displaystyle 37$?

Possible Answers:

$\displaystyle 58$

$\displaystyle 69$

$\displaystyle 62$

$\displaystyle 74$

Correct answer:

$\displaystyle 74$

Explanation:

First, do $\displaystyle 6$ times $\displaystyle 37$:

$6 \cdot37 = 222$ $\displaystyle 6 \cdot37 = 222$

Then, find $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of that value:

$\frac{222\cdot1}{3} = 74$ $\displaystyle \frac{222\cdot1}{3} = 74$

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Example Question #96 : Number Manipulation*

What is $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of 240 $\displaystyle 240$?

Possible Answers:

$\displaystyle 90$

120 $\displaystyle 120$

125 $\displaystyle 125$

$\displaystyle 82$

Correct answer:

$\displaystyle 90$

Explanation:

First, find $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of 240 $\displaystyle 240$:

$\frac{3\cdot 240}{4}=180$ $\displaystyle \frac{3\cdot 240}{4}=180$

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

$\frac{180}{2}=90$ $\displaystyle \frac{180}{2}=90$

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Example Question #97 : Number Manipulation*

What is the product of 5^2 $\displaystyle 5^2$ and $\displaystyle 21$ less than 11^2 $\displaystyle 11^2$?

Possible Answers:

3025 $\displaystyle 3025$

2500 $\displaystyle 2500$

2750 $\displaystyle 2750$

2900 $\displaystyle 2900$

Correct answer:

2500 $\displaystyle 2500$

Explanation:

First, $11^2=11\cdot11=121$ $\displaystyle 11^2=11\cdot11=121$.

Then, subtract $\displaystyle 21$:

$\displaystyle 121-21=100$

Then, $5^2=5\cdot5=25$ $\displaystyle 5^2=5\cdot5=25$.

Finally, multiply to find the product:

$100\cdot25=2500$ $\displaystyle 100\cdot25=2500$

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Example Question #98 : Number Manipulation*

What is $\displaystyle 5$ less than $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of $\displaystyle 32$?

Possible Answers:

$\displaystyle 12$

$\displaystyle 11$

$\displaystyle 13$

$\displaystyle 14$

Correct answer:

$\displaystyle 11$

Explanation:

First, find $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of $\displaystyle 32$:

$\frac{1\cdot32}{2}=16$ $\displaystyle \frac{1\cdot32}{2}=16$

Then, subtract $\displaystyle 5$:

16-5=11 $\displaystyle 16-5=11$

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Example Question #99 : Number Manipulation*

What is $\displaystyle 80$ percent of $\displaystyle 90$?

Possible Answers:

$\displaystyle 81$

$\displaystyle 75$

$\displaystyle 72$

$\displaystyle 70$

Correct answer:

$\displaystyle 72$

Explanation:

Multiply $\displaystyle 90$ by the decimal version of $\displaystyle 80$ percent to find the answer:

$90\cdot.80=72$ $\displaystyle 90\cdot.80=72$

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Example Question #100 : Number Manipulation*

$\displaystyle 69$ is what percent of 300 $\displaystyle 300$?

Possible Answers:

$\displaystyle 23$

215 $\displaystyle 215$

207 $\displaystyle 207$

$\displaystyle 26$

Correct answer:

$\displaystyle 23$

Explanation:

To find the percent, first divide $\displaystyle 69$ by 300 $\displaystyle 300$:

$69\div300=.23$ $\displaystyle 69\div300=.23$

Then move the decimal to the right two places to convert to percent form:

$\displaystyle 23$ percent

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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 #91 : Number Manipulation*

Example Question #92 : Number Manipulation*

Example Question #93 : Number Manipulation*

Example Question #94 : Number Manipulation*

Example Question #95 : Number Manipulation*

Example Question #96 : Number Manipulation*

Example Question #97 : Number Manipulation*

Example Question #98 : Number Manipulation*

Example Question #99 : Number Manipulation*

Example Question #100 : Number Manipulation*

All HSPT Quantitative Resources

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