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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 #54 : How To Multiply Fractions

Multiply the following:

$\frac{5}{7} \cdot \frac{1}{2}$

Possible Answers:

$\frac{5}{14}$

$\frac{2}{3}$

$\frac{6}{14}$

$\frac{6}{9}$

$\frac{5}{9}$

Correct answer:

$\frac{5}{14}$

Explanation:

To multiply, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{5}{7} \cdot \frac{1}{2}$

$\frac{5 \cdot 1}{7 \cdot 2}$

$\frac{5}{14}$

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Example Question #55 : How To Multiply Fractions

Multiply the following:

$\frac{7}{9} \cdot \frac{2}{3}$

Possible Answers:

$\frac{18}{21}$

$\frac{14}{28}$

$\frac{2}{3}$

$\frac{14}{27}$

$\frac{16}{24}$

Correct answer:

$\frac{14}{27}$

Explanation:

To multiply fractions, we will multiply straight across. In other words, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{7}{9} \cdot \frac{2}{3}$

$\frac{7 \cdot 2}{9 \cdot 3}$

$\frac{14}{27}$

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Example Question #61 : How To Multiply Fractions

Solve the following:

$\frac{3}{4} \cdot \frac{1}{2}$

Possible Answers:

$\frac{3}{8}$

$\frac{1.5}{2}$

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{1.5}{4}$

Correct answer:

$\frac{3}{8}$

Explanation:

To multiply equations, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{3}{4} \cdot \frac{1}{2}$

$\frac{3 \cdot 1}{4 \cdot 2}$

$\frac{3}{8}$

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Example Question #248 : Fractions

Multiply the following:

$\frac{2}{7} \cdot \frac{1}{4}$

Possible Answers:

$\frac{13}{28}$

$\frac{3}{11}$

$\frac{1}{14}$

$\frac{3}{28}$

Correct answer:

$\frac{1}{14}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So, we will multiply:

$\frac{2}{7} \cdot \frac{1}{4}$

$\frac{2 \cdot 1}{7 \cdot 4}$

$\frac{2}{28}$

$\frac{1}{14}$

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Example Question #61 : How To Multiply Fractions

Multiply the following:

$\frac{2}{3} \cdot \frac{2}{3}$

Possible Answers:

$\frac{2}{3}$

$\frac{2}{9}$

$\frac{4}{9}$

$\frac{4}{5}$

Correct answer:

$\frac{4}{9}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together.

So, we get

$\frac{2}{3} \cdot \frac{2}{3}$

$\frac{2 \cdot 2}{3 \cdot 3}$

$\frac{4}{9}$

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Example Question #1 : How To Subtract Fractions

Give the result in simplest form:

$\frac{7}{20} - \frac{11}{20} + \frac{9}{20}$

Possible Answers:

$\frac{1}{4}$

$\frac{1}{20}$

$-\frac{13}{20}$

$\frac{13}{20}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{4}$

Explanation:

$\frac{7}{20} - \frac{11}{20} + \frac{9}{20}$

$=\frac{7-11+9}{20}$

$=\frac{-4+9}{20}$

$=\frac{5}{20} =\frac{5\div 5}{20\div 5} = \frac{1}{4}$

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Example Question #1281 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Evaluate:

9 - 6.36

Possible Answers:

2.36

3.36

2.64

3.64

6.27

Correct answer:

2.64

Explanation:

Subtract vertically, appending the 9 with a decimal point and two placeholder zeroes first.

9.00

$\underline{6.36}$

2.64

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Example Question #161 : Fractions

Evaluate:

7.82 - 4.7 - 2.56

Possible Answers:

5.68

0.56

9.96

4.79

9.91

Correct answer:

0.56

Explanation:

By order of operations, subtractions are carried out in left-to-right order, so subtract 4.70 (adding the placeholder zero) from 7.82, aligning the decimal points:

7.82

$\underline{4.70}$

3.12

Now subtract 2.56 from this difference, again aligning vertically by decimal point:

3.12

$\underline{2.56}$

0.56

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Example Question #451 : Concepts

Evaluate:

6.54 - 9

Possible Answers:

-6.45

-2.46

-3.54

-2.54

-3.46

Correct answer:

-2.46

Explanation:

Rewrite this difference as a sum. The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the negative number here) affixed:

6.54 - 9 = 6.54 + (-9) = -(9-6.54)

Subtract vertically by aligning the decimal points, making sure you append the 9 with a decimal point and two placeholder zeroes:

9.00

$\underline{6.54}$

2.46

Since the answer is negative, append a negative symbol in front. The answer is -2.46 .

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Example Question #452 : Concepts

Subtract:

0.005 - 0.15

Possible Answers:

-0.1405

-0.10

0.00485

0.0485

-0.145

Correct answer:

-0.145

Explanation:

Since you are subtracting a larger number from a smaller, reverse them, and affix a negative symbol:

$0.005 - 0.15 = - \left (0.15 - 0.005 \right )$

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending a zero to the 0.15.)

$\begin{matrix} \; \; \; 0.150\\ -\underline{0.005}\\\; \; \; 0.145\end{matrix}$

Affix the negative symbol to obtain the difference of -0.145 .

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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 #54 : How To Multiply Fractions

Example Question #55 : How To Multiply Fractions

Example Question #61 : How To Multiply Fractions

Example Question #248 : Fractions

Example Question #61 : How To Multiply Fractions

Example Question #1 : How To Subtract Fractions

Example Question #1281 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #161 : Fractions

Example Question #451 : Concepts

Example Question #452 : Concepts

All ISEE Middle Level Math Resources

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