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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 #362 : Fractions

Solve the following

$\small \frac{2}{8}+\frac{1}{8}+\frac{4}{8}+\frac{3}{8}=$

Possible Answers:

$\small 1\frac{3}{8}$

$\small \frac{6}{8}$

$\small 1\frac{1}{2}$

$\small \frac{7}{8}$

$\small 1\frac{1}{4}$

Correct answer:

$\small 1\frac{1}{4}$

Explanation:

To add fractions, we first add the numerators, and the denominator stays the same because it is the whole.

By adding fractions, we are adding parts to the whole.

So, we add

$\small 2+1+4+3=10$ .

This gives us

$\small \frac{10}{8}$ .

This is equal to $\small 1\frac{2}{8}$ which is reduced to $\small 1\frac{1}{4}$

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Example Question #362 : Fractions

Solve:

$\frac{2}{9}+\frac{3}{4}=$

Possible Answers:

$\frac{19}{36}$

$\frac{35}{36}$

$\frac{6}{36}$

$\frac{5}{13}$

$\frac{5}{36}$

Correct answer:

$\frac{35}{36}$

Explanation:

Find the least common denominator between and . In this case, it is .

$\frac{2}{9}=\frac{8}{36}$

$\frac{3}{4}=\frac{27}{36}$

$\frac{8}{36}+\frac{27}{36}=\frac{35}{36}$

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Example Question #1 : How To Divide Fractions

$\frac{4^{^{2}}+\left ( 12-4 \right )}{2}$

Possible Answers:

Correct answer:

Explanation:

In order to solve:

First, solve the exponent equation within the numerator portion of the fraction:

$\small \small \frac{4^{2} + \left ( 12-4 \right )}{2}=$

Then, solve the equation within the parentheses:

$\small \small \frac{16+8}{2}=$

Then, solve the entire equation in the numerator portion and divide the numerator by the denominator.

$\small \small \frac{24}{2}=12$

Answer: 12

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Example Question #1 : How To Divide Fractions

$\small 2 \frac{1}{5} \div 1 \frac{2}{4}=$

Possible Answers:

$\small 2 \frac{1}{10}$

$\small 4$

$\small 1 \frac{7}{15}$

$\small 3 \frac{3}{10}$

Correct answer:

$\small 1 \frac{7}{15}$

Explanation:

To solve:

First, turn the mixed fractions into improper fractions.

$\small \small \small \frac{11}{5}\div \frac{6}{4}=$

Then, change the operation to multiplication and flip the second fraction. Solve accordingly and simplify the answer if possible.

$\small \small \frac{11}{5}\cdot \frac{4}{6}=$

The answer is $\small 1\frac{7}{15}$ .

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Example Question #363 : Fractions

What is $\frac{3}{5}$ divided by $\frac{3}{25}$ ?

Possible Answers:

$\frac{3}{5}$

$\frac{1}{5}$

Correct answer:

Explanation:

$\frac{3}{5}\div\frac{3}{25}=\frac{3}{5}\cdo*\frac{25}{3}=5$

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Example Question #512 : Numbers And Operations

Evaluate:

$\frac{\frac{2}{7}}{\frac{9}{14}}$

Possible Answers:

$\frac{9}{4}$

$\frac{4}{9}$

$\frac{9}{4 9}$

$\frac{13}{14}$

$\frac{49}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

Rewrite this horizontally as a division expression, rewrite as a product, cross-cancel, and multply across:

$\frac{\frac{2}{7}}{\frac{9}{14}}$ $= \frac{2}{7} \div \frac{9}{14} = \frac{2}{7} \cdot \frac{14}{9} = \frac{2}{1} \cdot \frac{2}{9} = \frac{2\cdot 2}{1\cdot 9} =\frac{4}{9}$

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Example Question #1 : How To Divide Fractions

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

Possible Answers:

$1\frac{1}{25}$

$2\frac{6}{25}$

$\frac{13}{2}$

$\frac{2}{13}$

Correct answer:

$\frac{2}{13}$

Explanation:

First, convert each fraction into an improper fraction

$\frac{2}{5}\div 2\frac{3}{5}=\frac{2}{5}\div \frac{13}{5}=$

Then, change the operation to mulitplication and flip the second fraction:

$\frac{2}{5}*\frac{5}{13}=$

Reduce and solve accordingly:

Answer: $\frac{2}{13}$

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Example Question #2 : How To Divide Fractions

$\dpi{100} 9\div \frac{1}{7}=$

Possible Answers:

$\dpi{100} 63$

$\dpi{100} 1$

$\dpi{100} \frac{9}{7}$

$\dpi{100} \frac{7}{9}$

Correct answer:

$\dpi{100} 63$

Explanation:

We never actually divide fractions. When given a division problem, you multiply by the reciprocal of the 2nd fraction.

So, $\dpi{100} 9\div \frac{1}{7}$ becomes $\dpi{100} 9\times \frac{7}{1}$ .

This is the same as $\dpi{100} 9\times7=63$

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Example Question #521 : Numbers And Operations

Divide: $0.17 \div 32$

Possible Answers:

0.001882

0.53125

0.0053125

0.053125

0.01882

Correct answer:

0.0053125

Explanation:

Simply use the long division process. The quotient will be:

$0.17 \div 32 = 0.0053125$

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Example Question #522 : Numbers And Operations

Solve:

$\frac{3}{4}\div \frac{1}{3}$

Possible Answers:

$\frac{1}{4}$

$\frac{4}{9}$

$\frac{9}{4}$

Correct answer:

$\frac{9}{4}$

Explanation:

$\frac{3}{4}\div\frac{1}{3}=\frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$

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All ISEE Middle Level Math Resources

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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 #362 : Fractions

Example Question #362 : Fractions

Example Question #1 : How To Divide Fractions

Example Question #1 : How To Divide Fractions

Example Question #363 : Fractions

Example Question #512 : Numbers And Operations

Example Question #1 : How To Divide Fractions

Example Question #2 : How To Divide Fractions

Example Question #521 : Numbers And Operations

Example Question #522 : Numbers And Operations

All ISEE Middle Level Math Resources

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