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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #141 : Concepts

A guitar is on sale for 15% off of its original price of $350.00. What is the sales price of the guitar?

Possible Answers:

365.00 $\displaystyle 365.00$

335.00 $\displaystyle 335.00$

297.50 $\displaystyle 297.50$

52.50 $\displaystyle 52.50$

Correct answer:

297.50 $\displaystyle 297.50$

Explanation:

First, multiply:

$\displaystyle 350.00*.15=52.50$

Then, subtract that value from the original amount:

$\displaystyle 350.00-52.50=297.50$

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Example Question #27 : How To Find Percentage

85 is what percent of 400?

Possible Answers:

$22 \frac{1}{2} \%$ $\displaystyle 22 \frac{1}{2} \%$

$21 \frac{1 }{4} \%$ $\displaystyle 21 \frac{1 }{4} \%$

$19\frac{1}{2} \%$ $\displaystyle 19\frac{1}{2} \%$

$27\frac{1}{2} \%$ $\displaystyle 27\frac{1}{2} \%$

$23 \frac{3}{4} \%$ $\displaystyle 23 \frac{3}{4} \%$

Correct answer:

$21 \frac{1 }{4} \%$ $\displaystyle 21 \frac{1 }{4} \%$

Explanation:

Set up the proportion statement, where $\displaystyle p$ is our answer, and solve:

$\frac{p}{100} = \frac{85}{400}$ $\displaystyle \frac{p}{100} = \frac{85}{400}$

$\frac{p}{100} \cdot 100 = \frac{85}{400} \cdot 100$ $\displaystyle \frac{p}{100} \cdot 100 = \frac{85}{400} \cdot 100$

$p = \frac{85 \cdot 100}{400} = \frac{85 }{4} = 21 \frac{1 }{4} \%$ $\displaystyle p = \frac{85 \cdot 100}{400} = \frac{85 }{4} = 21 \frac{1 }{4} \%$

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Example Question #142 : Concepts

In a class of 120 students, 108 of them decide to attend a field trip. What percent of the students do not attend the field trip?

Possible Answers:

90%

12%

88%

10%

Correct answer:

10%

Explanation:

If 108 students attend the field trip, 12 students do not.

$\displaystyle 120-108=12$

To find the percent of students not attending the field trip, divide the number of students not attending by the total number of students, and then multiply that result by 100%.

$\frac{12}{120}=\frac{1}{10}=0.10$ $\displaystyle \frac{12}{120}=\frac{1}{10}=0.10$

$0.10\times 100\%=10\%$ $\displaystyle 0.10\times 100\%=10\%$

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Example Question #143 : Concepts

Below is the list of candidates for Student Council president, along with the number of votes each won:

$\begin{matrix} \textrm{\underline{Student}} &\textrm{\underline{Votes}} \\ \textrm{Kerry}\; \; \; & 95\\ \textrm{Quinn}\; \; \;& 73\\ \textrm{Fellows}\; &54 \\ \textrm{Bester}\; \; & 48\\ \textrm{Jarrow}\; & 29 \end{matrix}$ $\displaystyle \begin{matrix} \textrm{\underline{Student}} &\textrm{\underline{Votes}} \\ \textrm{Kerry}\; \; \; & 95\\ \textrm{Quinn}\; \; \;& 73\\ \textrm{Fellows}\; &54 \\ \textrm{Bester}\; \; & 48\\ \textrm{Jarrow}\; & 29 \end{matrix}$

What percent of the students voted for neither Kerry nor Quinn (nearest tenth)?

Possible Answers:

$56.2 \%$ $\displaystyle 56.2 \%$

$36.2 \%$ $\displaystyle 36.2 \%$

$53.8 \%$ $\displaystyle 53.8 \%$

$46.2 \%$ $\displaystyle 46.2 \%$

$43.8 \%$ $\displaystyle 43.8 \%$

Correct answer:

$43.8 \%$ $\displaystyle 43.8 \%$

Explanation:

$\displaystyle 95+73+54+48+29= 299$ students total voted. Out of those, $\displaystyle 54 + 48 + 29 = 131$ voted for a candidate other than Kerry or Quinn. To convert this to a percent, use this proportion and solve for $\displaystyle p$ :

$\frac{p }{100}= \frac{131}{299}$ $\displaystyle \frac{p }{100}= \frac{131}{299}$

$\frac{p }{100} \cdot 100= \frac{131}{299} \cdot 100$ $\displaystyle \frac{p }{100} \cdot 100= \frac{131}{299} \cdot 100$

$p = \frac{13,100}{299} \approx 43.8 \%$ $\displaystyle p = \frac{13,100}{299} \approx 43.8 \%$

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Example Question #27 : Percentage

A $200.00 cell phone is on sale for 15% off. What is the sales price of the cell phone?

Possible Answers:

170 $\displaystyle 170$

185 $\displaystyle 185$

215 $\displaystyle 215$

150 $\displaystyle 150$

Correct answer:

170 $\displaystyle 170$

Explanation:

First multiply:

200* $\displaystyle 200*$ $\displaystyle .15$ =30 $\displaystyle =30$

Then, subtract that amount from the original price:

200- $\displaystyle 200-$ 30= $\displaystyle 30=$ 170 $\displaystyle 170$

Answer: The cell phone costs $170.00.

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Example Question #143 : Concepts

Simplify:

$\frac{3}{5}\%$ $\displaystyle \frac{3}{5}\%$

Possible Answers:

0.6 $\displaystyle 0.6$

0.06 $\displaystyle 0.06$

0.006 $\displaystyle 0.006$

0.0006 $\displaystyle 0.0006$

$\displaystyle 6$

Correct answer:

0.006 $\displaystyle 0.006$

Explanation:

Percent means "per one hundred" or "divided by one hundred". To convert a percentage to a decimal we should move the decimal point two places to the left. So we can write:

$\frac{3}{5}=0.6$ $\displaystyle \frac{3}{5}=0.6$

So we get:

$0.6\%$ $\displaystyle 0.6\%$ =0.006 $\displaystyle =0.006$

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Example Question #144 : Concepts

What is the decimal equivalent of $18\%$ $\displaystyle 18\%$ ?

Possible Answers:

0.82 $\displaystyle 0.82$

0.018 $\displaystyle 0.018$

1.8 $\displaystyle 1.8$

1.18 $\displaystyle 1.18$

0.18 $\displaystyle 0.18$

Correct answer:

0.18 $\displaystyle 0.18$

Explanation:

To find the decimal equivalent of a percentage, divide the percentage by 100 $\displaystyle 100$ .

$18 \div 100=0.18$ $\displaystyle 18 \div 100=0.18$

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Example Question #145 : Concepts

What is the decimal equivalent of $22\%$ $\displaystyle 22\%$ ?

Possible Answers:

0.78 $\displaystyle 0.78$

0.0022 $\displaystyle 0.0022$

0.022 $\displaystyle 0.022$

0.22 $\displaystyle 0.22$

Correct answer:

0.22 $\displaystyle 0.22$

Explanation:

To find the decimal equivalent of a percentage, divide the percentage by 100 $\displaystyle 100$ .

$22 \div 100 = 0.22$ $\displaystyle 22 \div 100 = 0.22$

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Example Question #146 : Concepts

What is the decimal equivalent of $55\%$ $\displaystyle 55\%$ ?

Possible Answers:

5.5 $\displaystyle 5.5$

0.0055 $\displaystyle 0.0055$

0.55 $\displaystyle 0.55$

0.45 $\displaystyle 0.45$

0.055 $\displaystyle 0.055$

Correct answer:

0.55 $\displaystyle 0.55$

Explanation:

To find the decimal equivalent of a percentage, divide the percentage by 100 $\displaystyle 100$ .

$55 \div 100 =0.55$ $\displaystyle 55 \div 100 =0.55$

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Example Question #147 : Concepts

What is the decimal equivalent of $46\%$ $\displaystyle 46\%$ ?

Possible Answers:

0.046 $\displaystyle 0.046$

0.0046 $\displaystyle 0.0046$

4.6 $\displaystyle 4.6$

0.46 $\displaystyle 0.46$

Correct answer:

0.46 $\displaystyle 0.46$

Explanation:

To find the decimal equivalent of a percentage, divide the percentage by 100 $\displaystyle 100$ .

$46 \div 100 =0.46$ $\displaystyle 46 \div 100 =0.46$

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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #141 : Concepts

Example Question #27 : How To Find Percentage

Example Question #142 : Concepts

Example Question #143 : Concepts

Example Question #27 : Percentage

Example Question #143 : Concepts

Example Question #144 : Concepts

Example Question #145 : Concepts

Example Question #146 : Concepts

Example Question #147 : Concepts

All HSPT Math Resources

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