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ISEE Middle Level Math : Percentage

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Example Questions

Example Question #21 : Percentage

7q+7=70 $\displaystyle 7q+7=70$

What is $\displaystyle q$?

Possible Answers:

$\displaystyle 10$

$\displaystyle 8$

$\displaystyle 14$

$\displaystyle 9$

$\displaystyle 7$

Correct answer:

$\displaystyle 9$

Explanation:

First,subtract 7 from each side:

$\displaystyle 7q+7-7=70-7$

7q=63 $\displaystyle 7q=63$

Then, divide each side by 7:

$\frac{7q}{7}=\frac{63}{}7$ $\displaystyle \frac{7q}{7}=\frac{63}{}7$

q=9 $\displaystyle q=9$

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Example Question #694 : Numbers And Operations

Berta went shopping for a bathroom curtain. How much did she pay for the curtain if it was $25\%$ $\displaystyle 25\%$ off its original price of $\$28.00?$ $\displaystyle \$28.00?$

Possible Answers:

24.00 $\displaystyle 24.00$

30.50 $\displaystyle 30.50$

21.00 $\displaystyle 21.00$

35.00 $\displaystyle 35.00$

7.00 $\displaystyle 7.00$

Correct answer:

21.00 $\displaystyle 21.00$

Explanation:

First, multiply $\displaystyle 28*.25=7$.

Then, subtract that amount from the original price.

28-7=21 $\displaystyle 28-7=21$

Answer: Berta paid $\$21.00$ $\displaystyle \$21.00$ for the curtain.

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Example Question #695 : Numbers And Operations

Oliver pays $\$170.00$ $\displaystyle \$170.00$ for a skateboard. What is the discount percentage he receives if the skateboard originally costs $\$200.00?$ $\displaystyle \$200.00?$

Possible Answers:

$\displaystyle 15$

$\displaystyle 20$

$\displaystyle 10$

$\displaystyle 30$

Correct answer:

$\displaystyle 15$

Explanation:

Divide $170\div 200=.85$ $\displaystyle 170\div 200=.85$.

Subtract that amount from $\displaystyle 1$ to find the discount percentage Oliver received:

$\displaystyle 1-.85=.15$

Answer: Oliver received a $15\%$ $\displaystyle 15\%$ discount on the skateboard.

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Example Question #1581 : Isee Middle Level (Grades 7 8) Mathematics Achievement

A computer is on sale for $30\%$ $\displaystyle 30\%$ off its original price of $\$2400.00.$ $\displaystyle \$2400.00.$ What is the sales price of the computer?

Possible Answers:

1600.00 $\displaystyle 1600.00$

1680.00 $\displaystyle 1680.00$

720.00 $\displaystyle 720.00$

2000.00 $\displaystyle 2000.00$

Correct answer:

1680.00 $\displaystyle 1680.00$

Explanation:

First, multiply

$\displaystyle 2400*.30=720$

Then, subtract that amount from the original price:

$\displaystyle 2400-720=1680$

Answer: The sales price is $\$1,680.00.$ $\displaystyle \$1,680.00.$

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Example Question #22 : Percentage

A painting is 37% off of its original price of $200.00. What is the sale price of the painting?

Possible Answers:

136 $\displaystyle 136$

126 $\displaystyle 126$

237 $\displaystyle 237$

125 $\displaystyle 125$

$\displaystyle 74$

Correct answer:

126 $\displaystyle 126$

Explanation:

First, multiply:

$\displaystyle 200*.37=74$

The, subtract that amount from 200:

$\displaystyle 200-74=126$

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Example Question #23 : Percentage

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 $\displaystyle 365.00$

52.50 $\displaystyle 52.50$

297.50 $\displaystyle 297.50$

335.00 $\displaystyle 335.00$

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 #24 : Percentage

85 is what percent of 400?

Possible Answers:

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

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

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

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

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

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 #22 : Percentage

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:

10%

90%

88%

12%

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 #141 : 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:

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

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

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

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

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

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 #1586 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

Possible Answers:

215 $\displaystyle 215$

170 $\displaystyle 170$

150 $\displaystyle 150$

185 $\displaystyle 185$

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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ISEE Middle Level Math : Percentage

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #21 : Percentage

Example Question #694 : Numbers And Operations

Example Question #695 : Numbers And Operations

Example Question #1581 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #22 : Percentage

Example Question #23 : Percentage

Example Question #24 : Percentage

Example Question #22 : Percentage

Example Question #141 : Concepts

Example Question #1586 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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