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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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 #1421 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following is the reciprocal of 31.25?

Possible Answers:

0.032

0.028

0.036

0.024

Correct answer:

0.032

Explanation:

Rewrite 31.25 as a fraction:

$31.25 = \frac{3,125}{100} = \frac{3,125\div 25}{100\div 25} = \frac{125}{4}$

Exchange the positions of the numerator and the denominator to get $\frac{4}{125}$ . Now divide 4 by 125:

$\frac{4}{125} = 4 \div 125 = 0.032$

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Example Question #1422 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

$\frac{9}{10}\div \frac{3}{5}=$

Possible Answers:

$\frac{5}{6}$

$\frac{2}{3}$

$\frac{3}{2}$

$\small \frac{6}{5}$

Correct answer:

$\frac{3}{2}$

Explanation:

$\small \frac{9}{10}\div \frac{3}{5}=\frac{9}{10}\times\frac{5}{3}=\frac{45}{30}=\frac{3}{2}$

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Example Question #1423 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\frac{7}{49}\div \frac{2}{14}=$

Possible Answers:

$\frac{2}{94}$

$1\frac{3}{4}$

196

Correct answer:

Explanation:

Change division to multiplication by flipping the second fraction. Then, simplify and perform the multiplication.

$\frac{7}{49}\div \frac{2}{14}=$

$\frac{7}{49}\times \frac{14}{2}= \frac{1}{7}\times \frac{7}{1}=\frac{7}{7}=1$

The answer is 1.

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Example Question #327 : Concepts

$12 \frac{4}{6} \div 4\frac{2}{4}=$

Possible Answers:

$2\frac{20}{27}$

$2\frac{7}{9}$

$3\frac{1}{3}$

$2\frac{22}{27}$

$1\frac{2}{3}$

Correct answer:

$2\frac{22}{27}$

Explanation:

First convert each fraction into an improper fraction.

$\frac{76}{6}\div \frac{18}{4}=$

Then flip the second fraction, reduce and multiply:

$\frac{76}{6}\ast \frac{4}{18}=$

The answer is $2\frac{22}{27}$ .

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Example Question #1424 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Divide:

$\frac{4}{9}\div \frac{2}{3}$

Possible Answers:

$\frac{1}{}3$

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{7}{}9$

$\frac{4}{}9$

Correct answer:

$\frac{2}{3}$

Explanation:

The first step in dividing fractions is to make the second fraction a reciprocal (flip it) and then rewrite the problem as a multiplication problem: $\left(\frac{4}{9}\times \frac{3}{2}\right)$ .

You can cross-reduce so that the problem now becomes $\left(\frac{2}{3}\times \frac{1}{1}\right)$ . Then, mulitply straight across so that your answer is $\frac{2}{3}$ .

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Example Question #1425 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the below expression equal to?

$\frac{3}{5}\div \frac{2}{7}$

Possible Answers:

$\frac{1}{2}$

$\frac{10}{21}$

$\frac{21}{10}$

Correct answer:

$\frac{21}{10}$

Explanation:

When one fraction is being divided by another, the latter fraction must be inverted. The numerators are then multiplied by each other, and the denominators are also multiplied by each other.

$\frac{3}{5}\div \frac{2}{7}$

$\frac{3}{5}\cdot \frac{7}{2}=\frac{21}{10}$

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Example Question #1426 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the value of in this equation?

$\frac{9}{5}\div \frac{5}{7}=x$

Possible Answers:

$\frac{9}{7}$

$\frac{25}{63}$

$\frac{7}{9}$

$\frac{63}{25}$

Correct answer:

$\frac{63}{25}$

Explanation:

In order to solve $\frac{9}{5}\div \frac{5}{7}$ , the latter fraction must be inverted and then multiplied by the first fraction, as shown below:

$\frac{9}{5}\cdot \frac{7}{5} = \frac{63}{25}$

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Example Question #1427 : Isee Middle Level (Grades 7 8) Mathematics Achievement

One euro is worth approximately $1.27. For how many euros (nearest whole) can an American tourist expect to exchange $1,000?

Possible Answers:

7,874

787

127

1,270

Correct answer:

787

Explanation:

One Euro is equivalent to $1.27, so divide the number of dollars by this conversion factor. $1,000 is equivalent to

$1,000 \div 1.27\approx 787$ euros

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Example Question #1428 : Isee Middle Level (Grades 7 8) Mathematics Achievement

One Mexican peso is equal to about 7.4 cents. To the nearest whole number, for how many pesos can a tourist to Mexico expect to exchange $500?

Possible Answers:

3,700

370

6,757

37,000

676

Correct answer:

6,757

Explanation:

One peso is equivalent to 7.4 cents, or $0.074, so divide $500 dollars by this conversion factor. $500 is equivalent to

$500 \div 0.074 \approx 6,757$ pesos.

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Example Question #1429 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the solution to the expression below?

$\frac{1}{4}\div \frac{9}{17}$

Possible Answers:

$\frac{3}{12}$

$\frac{1}{3}$

$\frac{17}{36}$

$\frac{36}{17}$

Correct answer:

$\frac{17}{36}$

Explanation:

When one fraction is being divided by another, the latter fraction must be inverted. The numerators are then multiplied together, and the denominators are also multiplied by each other.

$\frac{1}{4}\div \frac{9}{17}$

$\frac{1}{4}\div \frac{17}{9}$

$\frac{17}{36}$

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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 : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #1421 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1422 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1423 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #327 : Concepts

Example Question #1424 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1425 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1426 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1427 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1428 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1429 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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