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ISEE Middle Level Math : Percentage

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

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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

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Example Question #21 : Percentages

What is the decimal equivalent of $\frac{12}{96}$ ?

Possible Answers:

1.25

125

12.5

Correct answer:

Explanation:

Divide the numerator (top number) by the denominator (bottom number):

$12\div 96=.125$

Answer:

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Example Question #33 : How To Find The Part From The Whole With Percentage

Write $\frac{42}{70}$ as a decimal.

Possible Answers:

6.0

Correct answer:

Explanation:

Divide the numerator (top number) by the denominator (bottom number):

$42\div 70=.60$

Answer:

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Example Question #34 : How To Find The Part From The Whole With Percentage

Write $42\%$ as a decimal.

Possible Answers:

4.2

Correct answer:

Explanation:

To convert a percentage into a decimal, divide the number by 100.

Here's a trick: Simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 42 as 42.0 (or 42. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

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Example Question #891 : Numbers And Operations

What is 0.06% of 0.07?

Possible Answers:

0.0042

0.00042

0.000042

4,200

Correct answer:

0.000042

Explanation:

0.06%, as a decimal, is equal to $0.06 \div 100 = 0.0006$ , so 0.06% of 0.07 is equal to

$0.0006 \times 0.07 = 0.000042$

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Example Question #32 : How To Find The Part From The Whole With Percentage

What is $5 \frac{1}{3} \%$ of $333\frac{1}{3}$ ?

Possible Answers:

$\frac{5}{8}$

$6 \frac{1}{4}$

$62 \frac{1}{2 }$

$1 \frac{7}{9}$

$17 \frac{7}{9}$

Correct answer:

$17 \frac{7}{9}$

Explanation:

$5 \frac{1}{3} \%$ of $333\frac{1}{3}$ is equal to:

$\frac{5 \frac{1}{3} }{100} \times 333 \frac{1}{3}$

$= \frac{ \frac{16}{3} }{100} \times \frac{1,000}{3}$

$= \frac{16}{3} \times \frac{1 }{100} \times \frac{1,000}{3}$

Cross-cancel:

$\frac{16}{3} \times \frac{1 }{1} \times \frac{10}{3}$

$= \frac{160}{9} = 17 \frac{7}{9}$

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Example Question #41 : How To Find The Part From The Whole With Percentage

What is $17 \frac{1}{2} \%$ of $17 \frac{1}{2}$ ?

Possible Answers:

100

$30 \frac{5}{8}$

$306 \frac{1}{4}$

$3\frac{1}{16}$

Correct answer:

$3\frac{1}{16}$

Explanation:

$17 \frac{1}{2} \%$ of $17 \frac{1}{2}$ can be rewritten as

$\frac{17 \frac{1}{2} }{100} \times 17 \frac{1}{2}$

$= \frac{35}{2} \times \frac{1}{100} \times \frac{35}{2}$

$= \frac{35 \times 1 \times 35}{2 \times 100 \times 2}$

$= \frac{1,225}{400} = \frac{1,225 \div 25}{400\div 25} = \frac{49}{16} = 3 \frac{1}{16}$

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Example Question #221 : Percentage

What is 1,800% of 0.00018?

Possible Answers:

0.00324

0.324

1,000,000

10,000

0.0001

Correct answer:

0.00324

Explanation:

1,800% of 0.00018 is equal to

$\frac{1,800}{100} \times 0.00018 = 18 \times 0.00018 = 0.00324$ .

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Example Question #222 : Percentage

What is 1.11% percent of 1.11?

Possible Answers:

0.012321

0.0012321

0.12321

100

Correct answer:

0.012321

Explanation:

Taking 1.11% percent of a number is the same as multiplying it by 0.0111, so

1.11% percent of 1.11 is equal to

$0.0111 \times 1.11 = 0.012321$ .

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Example Question #44 : How To Find The Part From The Whole With Percentage

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 #41 : How To Find The Part From The Whole With Percentage

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:

150

192

200

170

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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All ISEE Middle Level Math Resources

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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 : Percentages

Example Question #33 : How To Find The Part From The Whole With Percentage

Example Question #34 : How To Find The Part From The Whole With Percentage

Example Question #891 : Numbers And Operations

Example Question #32 : How To Find The Part From The Whole With Percentage

Example Question #41 : How To Find The Part From The Whole With Percentage

Example Question #221 : Percentage

Example Question #222 : Percentage

Example Question #44 : How To Find The Part From The Whole With Percentage

Example Question #41 : How To Find The Part From The Whole With Percentage

All ISEE Middle Level Math Resources

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