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ISEE Middle Level Math : Numbers and Operations

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

Example Question #25 : Percentages

What is the decimal equivalent to $\frac{30}{120}$ ?

Possible Answers:

Correct answer:

Explanation:

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

$30\div 120=.25$

Answer:

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Example Question #26 : Percentages

What is $\frac{240}{600}$ written as a decimal?

Possible Answers:

4.0

Correct answer:

Explanation:

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

$240\div 600=.40$

Answer:

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Example Question #891 : Numbers And Operations

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

Possible Answers:

125

1.25

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 #28 : Percentages

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 #29 : Percentages

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 #892 : Numbers And Operations

What is 0.06% of 0.07?

Possible Answers:

0.000042

4,200

0.0042

0.00042

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

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

Possible Answers:

$6 \frac{1}{4}$

$\frac{5}{8}$

$1 \frac{7}{9}$

$62 \frac{1}{2 }$

$17 \frac{7}{9}$

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 #893 : Numbers And Operations

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

Possible Answers:

$30 \frac{5}{8}$

$306 \frac{1}{4}$

100

$3\frac{1}{16}$

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 #894 : Numbers And Operations

What is 1,800% of 0.00018?

Possible Answers:

10,000

0.0001

0.00324

0.324

1,000,000

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 #895 : Numbers And Operations

What is 1.11% percent of 1.11?

Possible Answers:

0.0012321

100

0.12321

0.012321

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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All ISEE Middle Level Math Resources

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

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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 #25 : Percentages

Example Question #26 : Percentages

Example Question #891 : Numbers And Operations

Example Question #28 : Percentages

Example Question #29 : Percentages

Example Question #892 : Numbers And Operations

Example Question #39 : How To Find The Part From The Whole With Percentage

Example Question #893 : Numbers And Operations

Example Question #894 : Numbers And Operations

Example Question #895 : Numbers And Operations

All ISEE Middle Level Math Resources

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