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ISEE Middle Level Math : Numbers and Operations

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #901 : Numbers And Operations

If 0.2 is $20\%$ of , what is the value of 5x + 1 ?

Possible Answers:

Correct answer:

Explanation:

If 0.2 is $20\%$ of , that means that x=1 . When we plug 1 into 5x+1 , the result is .

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Example Question #902 : Numbers And Operations

King Middle School has 320 students enrolled in the 7th grade. Sixty percent of the 7th graders at King are girls. How many 7th grade girls are enrolled at King Middle School?

Possible Answers:

192

170

150

200

Correct answer:

192

Explanation:

When given the quantity of the whole, you can determine a part using a percentage by converting the percentage to a decimal and multiplying the whole by that decimal.

$320\times0.60=192$

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Example Question #903 : Numbers And Operations

What is 60% of 300?

Possible Answers:

1800

180

Correct answer:

180

Explanation:

Substitute in the proportion:

$\frac{part}{whole} = \frac{x}{300}$

$\frac{percent}{100} = \frac{60}{100}$

$\frac{x}{300} = \frac{60}{100}$

Cross multiply:

18,000 = 100x

x = 180

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Example Question #904 : Numbers And Operations

What number is 85% of 560?

Possible Answers:

376

475

476

Correct answer:

476

Explanation:

To determine the number that is 85% of 560, convert the percentage to a decimal:

$85\%=\frac{85}{100}=0.85$

Then multiply:

$560 \times 0.85 = 476$

The correct answer is 476

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Example Question #233 : Percentage

What is $30\%$ of 150 ?

Possible Answers:

120

Correct answer:

Explanation:

To find a percentage of a whole, we will first write the percentage as a fraction. We know that all percentages can be written as a number over 100. So,

$30\% = \frac{30}{100}$

Now, we will multiply the fraction by the whole number. We get

$\frac{30}{100} \cdot 150$

Now, we can simplify/multiply.

We write 150 as a fraction over 1.

$\frac{30}{100} \cdot \frac{150}{1}$

We can cancel out the zero in 150 and the zero in 100.

$\frac{30}{10} \cdot \frac{15}{1}$

We can cancel out the zero in 30 and the zero in 10.

$\frac{3}{1} \cdot \frac{15}{1}$

Now, we can multiply.

$\frac{3 \cdot 15}{1 \cdot 1}$

$\frac{45}{1}$

Therefore, $30\%$ of 150 is .

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Example Question #905 : Numbers And Operations

What is the sale price of a product that costs $\$500$ if the sale is $40\%$ off the original price?

Possible Answers:

$\$200$

$\$540$

$\$800$

$\$300$

$\$700$

Correct answer:

$\$300$

Explanation:

First, find $40\%$ of $\$500$ :

$0.4\cdot \$500=\$200$

Then, subtract this value from the whole:

$\$500-\$200=\$300$

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Example Question #234 : Percentage

What is $30\%$ of 270 ?

Possible Answers:

100

240

Correct answer:

Explanation:

To find a percentage of a whole, we will multiply the percentage by the whole number. So,

$30\%$ of 270

can be written as

$30\% \cdot 270$

We know that a percentage can be written as a fraction over 100. So,

$\frac{30}{100} \cdot 270$

Now, we can solve.

$\frac{30}{100} \cdot \frac{270}{1}$

We can cancel out the zero in 30 and the zero in 100.

$\frac{3}{10} \cdot \frac{270}{1}$

We can cancel out the zero in 10 and the zero in 270.

$\frac{3}{1} \cdot \frac{27}{1}$

Now, we multiply.

$\frac{3 \cdot 27}{1 \cdot 1}$

$\frac{81}{1}$

Therefore, $30\%$ of 270 is .

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Example Question #235 : Percentage

What is $16 \frac{2}{3} \%$ of 999?

Possible Answers:

175

150

$162 \frac{1}{2}$

$166 \frac{1}{2}$

Correct answer:

$166 \frac{1}{2}$

Explanation:

$16 \frac{2}{3} \%$ of a number is equivalent to

$16 \frac{2}{3} \div 100 = \frac{50}{3} \div 100 = \frac{50}{3} \times \frac{1}{100} = \frac{50}{300} = \frac{1}{6}$

times the number.

Therefore, $16 \frac{2}{3} \%$ of 999 is equal to

$\frac{1}{6} \times 999 = \frac{999 }{6} = \frac{333}{2}= 166 \frac{1}{2}$ .

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Example Question #236 : Percentage

What is $40\%$ of 240 ?

Possible Answers:

120

200

110

Correct answer:

Explanation:

To find the percentage of a whole, we will multiply the percentage by the whole number. So,

$40\%$ of 240

can be written as

$40\% \cdot 240$

Now, we know percentages can be written as a number of 100. So,

$\frac{40}{100} \cdot 240$

Now, we can multiply.

$\frac{40}{100} \cdot \frac{240}{1}$

We can cancel the zero in 40 and the zero in 100. We get

$\frac{4}{10} \cdot \frac{240}{1}$

We can cancel the zero in 10 and the zero in 240. We get

$\frac{4}{1} \cdot \frac{24}{1}$

Now, we multiply.

$\frac{4 \cdot 24}{1 \cdot 1}$

$\frac{96}{1}$

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Example Question #51 : How To Find The Part From The Whole With Percentage

What is $60\%$ of 120 ?

Possible Answers:

180

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, given

$60\%$ of 120

we will multiply. We get

$60\% \cdot 120$

Now, we know a percent is a number of 100. So,

$\frac{60}{100} \cdot 120$

and we can write 120 in fraction form. We get

$\frac{60}{100} \cdot \frac{120}{1}$

Now we multiply. To make things easier, we can simplify before we multiply. We can cancel out the zero in and the zero in 100 . So,

$\frac{6}{10} \cdot \frac{120}{1}$

We can also cancel the zero in and the zero in 120 . So,

$\frac{6}{1} \cdot \frac{12}{1}$

Now, we multiply straight across.

$\frac{6 \cdot 12}{1 \cdot 1}$

$\frac{72}{1}$

Therefore, $60\%$ of 120 is .

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #901 : Numbers And Operations

Example Question #902 : Numbers And Operations

Example Question #903 : Numbers And Operations

Example Question #904 : Numbers And Operations

Example Question #233 : Percentage

Example Question #905 : Numbers And Operations

Example Question #234 : Percentage

Example Question #235 : Percentage

Example Question #236 : Percentage

Example Question #51 : How To Find The Part From The Whole With Percentage

All ISEE Middle Level Math Resources

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