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HSPT Quantitative : How to manipulate numbers

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

Example Questions

Example Question #121 : How To Manipulate Numbers

What number is $\displaystyle 15$ less than the difference between 9^2 $\displaystyle 9^2$ and 10^2 $\displaystyle 10^2$?

Possible Answers:

$\displaystyle 2$

$\displaystyle 17$

$\displaystyle 19$

$\displaystyle 4$

Correct answer:

$\displaystyle 4$

Explanation:

9^2 $\displaystyle 9^2$ is $9\cdot9=81$ $\displaystyle 9\cdot9=81$

and

10^2 $\displaystyle 10^2$ is $10\cdot10=100$ $\displaystyle 10\cdot10=100$

Subtract to find the difference:

$\displaystyle 100-81=19$

Then subtract $\displaystyle 15$:

19-15=4 $\displaystyle 19-15=4$

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Example Question #122 : How To Manipulate Numbers

What is the difference between $\frac{7}{2}$ $\displaystyle \frac{7}{2}$ and the product of $\displaystyle 7$ and $\displaystyle 2$?

Possible Answers:

11.5 $\displaystyle 11.5$

$\displaystyle 7$

10.5 $\displaystyle 10.5$

$\displaystyle 4$

Correct answer:

10.5 $\displaystyle 10.5$

Explanation:

$\frac{7}{2}=3.5$ $\displaystyle \frac{7}{2}=3.5$

Next, $7\cdot2=14$ $\displaystyle 7\cdot2=14$

Subtract to find the difference:

$\displaystyle 14-3.5=10.5$

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Example Question #123 : How To Manipulate Numbers

What is $\displaystyle 60$ percent of 350 $\displaystyle 350$?

Possible Answers:

200 $\displaystyle 200$

180 $\displaystyle 180$

254 $\displaystyle 254$

210 $\displaystyle 210$

Correct answer:

210 $\displaystyle 210$

Explanation:

Multiply 350 $\displaystyle 350$ by the decimal version of $\displaystyle 60$ percent to solve this problem:

$350\cdot.60=210$ $\displaystyle 350\cdot.60=210$

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Example Question #123 : How To Manipulate Numbers

What number is $\displaystyle 5$ less than the greatest prime less than $\displaystyle 20$?

Possible Answers:

$\displaystyle 14$

$\displaystyle 17$

$\displaystyle 13$

$\displaystyle 12$

Correct answer:

$\displaystyle 14$

Explanation:

The greatest prime less than $\displaystyle 20$ is $\displaystyle 19$. This means that it is the largest number less than twenty whose only factors are $\displaystyle 1$ and itself. Now subtract $\displaystyle 5$:

19-5=14 $\displaystyle 19-5=14$

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Example Question #124 : How To Manipulate Numbers

What is the difference between 5^3 $\displaystyle 5^3$ and 15^2 $\displaystyle 15^2$?

Possible Answers:

100 $\displaystyle 100$

$\displaystyle 25$

$\displaystyle 10$

$\displaystyle 0$

Correct answer:

100 $\displaystyle 100$

Explanation:

First, calculate the exponents:

$5^3=5\cdot5\cdot5=125$ $\displaystyle 5^3=5\cdot5\cdot5=125$

$15^2=15\cdot15=225$ $\displaystyle 15^2=15\cdot15=225$

Subtract to find the difference:

$\displaystyle 225-125=100$

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Example Question #125 : How To Manipulate Numbers

What is $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of the product of $\displaystyle 13$ and $\displaystyle 21$?

Possible Answers:

114.25 $\displaystyle 114.25$

131 $\displaystyle 131$

129 $\displaystyle 129$

136.5 $\displaystyle 136.5$

Correct answer:

136.5 $\displaystyle 136.5$

Explanation:

First, find the product:

$13\cdot21=273$ $\displaystyle 13\cdot21=273$

Then, find half:

$273\div2=136.5$ $\displaystyle 273\div2=136.5$

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Example Question #126 : How To Manipulate Numbers

$\displaystyle 32$ is $\displaystyle 80$ percent of what number?

Possible Answers:

$\displaystyle 38$

$\displaystyle 40$

$\displaystyle 28$

$\displaystyle 45$

Correct answer:

$\displaystyle 40$

Explanation:

Set up a proportion to solve this problem:

$\frac{32}{x}=\frac{80}{100}$ $\displaystyle \frac{32}{x}=\frac{80}{100}$

Cross multiply and solve:

$\displaystyle 80x=3200$

$x=\frac{3200}{80}=40$ $\displaystyle x=\frac{3200}{80}=40$

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Example Question #127 : How To Manipulate Numbers

What is $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of $\displaystyle .9$?

Possible Answers:

$\displaystyle .27$

$\displaystyle .6$

$\displaystyle .3$

$.\overline{33}$ $\displaystyle .\overline{33}$

Correct answer:

$\displaystyle .3$

Explanation:

Divide by $\displaystyle 3$ to find $\frac{1}{3}$ $\displaystyle \frac{1}{3}$:

$.9\div3=.3$ $\displaystyle .9\div3=.3$

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Example Question #128 : How To Manipulate Numbers

What is $\displaystyle 25$ percent of $\displaystyle 68$?

Possible Answers:

$\displaystyle 16$

$\displaystyle 14$

$\displaystyle 17$

$\displaystyle 13$

Correct answer:

$\displaystyle 17$

Explanation:

Multiply by the decimal version of the percent to find the answer:

$68\cdot.25=17$ $\displaystyle 68\cdot.25=17$

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Example Question #129 : How To Manipulate Numbers

$\displaystyle 52$ is what percent of $\displaystyle 50$?

Possible Answers:

104 $\displaystyle 104$

$\displaystyle 98$

102 $\displaystyle 102$

96.2 $\displaystyle 96.2$

Correct answer:

104 $\displaystyle 104$

Explanation:

Set up a proportion to solve this problem, with $\displaystyle x$ representing the unknown percent:

$\frac{52}{50}=\frac{x}{100}$ $\displaystyle \frac{52}{50}=\frac{x}{100}$

Then multiply both sides by 100 $\displaystyle 100$ to solve for $\displaystyle x$:

$\frac{52\cdot100}{50}=\frac{5200}{50}=104=x$ $\displaystyle \frac{52\cdot100}{50}=\frac{5200}{50}=104=x$

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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 : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #121 : How To Manipulate Numbers

Example Question #122 : How To Manipulate Numbers

Example Question #123 : How To Manipulate Numbers

Example Question #123 : How To Manipulate Numbers

Example Question #124 : How To Manipulate Numbers

Example Question #125 : How To Manipulate Numbers

Example Question #126 : How To Manipulate Numbers

Example Question #127 : How To Manipulate Numbers

Example Question #128 : How To Manipulate Numbers

Example Question #129 : How To Manipulate Numbers

All HSPT Quantitative Resources

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