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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Example Questions

Example Question #35 : Fractions

Express \(\displaystyle 0.78\overline{3}\) as a fraction in lowest terms.

Possible Answers:

\(\displaystyle \frac{47}{60}\)

\(\displaystyle \frac{783}{1,000}\)

\(\displaystyle \frac{29}{37}\)

\(\displaystyle \frac{26}{33}\)

Correct answer:

\(\displaystyle \frac{47}{60}\)

Explanation:

Let \(\displaystyle x= 0.78333...\)

Then 

\(\displaystyle 100x= 78.333...\) 

and 

\(\displaystyle 1,000 x= 783.33...\)

Subtract:

\(\displaystyle 1,000 x= 783.33...\)

    \(\displaystyle \underline{100x= \; 78.333...}\)

    \(\displaystyle 900x = 705\)

 

\(\displaystyle \frac{900x}{900} = \frac{705}{900}\)

\(\displaystyle x= \frac{705}{900} = \frac{705\div 15}{900\div 15 } = \frac{47}{60}\)

Example Question #1071 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the equivalent of \(\displaystyle \frac{2}{10}\)?

Possible Answers:

\(\displaystyle .30\)

\(\displaystyle .20\)

\(\displaystyle .50\)

\(\displaystyle .40\)

Correct answer:

\(\displaystyle .20\)

Explanation:

Divide:

\(\displaystyle 2\div 10=.20\)

 

Example Question #1072 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the equivalent of \(\displaystyle \frac{55}{100}\)?

Possible Answers:

\(\displaystyle .45\)

\(\displaystyle .55\)

\(\displaystyle 5.5\)

\(\displaystyle .055\)

Correct answer:

\(\displaystyle .55\)

Explanation:

Divide:

\(\displaystyle 55\div 100=.55\)

 

Example Question #1073 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the equivalent of \(\displaystyle \frac{4}{10}\)?

Possible Answers:

\(\displaystyle .004\)

\(\displaystyle .40\)

\(\displaystyle 4.0\)

\(\displaystyle .96\)

Correct answer:

\(\displaystyle .40\)

Explanation:

Divide:

\(\displaystyle 4\div 10=.40\)

 

Example Question #1074 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle \sqrt{81}*\sqrt{16}=\)

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 97\)

\(\displaystyle 13\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 36\)

Explanation:
Find the square roots:
\(\displaystyle \sqrt{81}=9\)
 
\(\displaystyle \sqrt{16}=4\)
Solve the equation:
 \(\displaystyle 9*4=36\)
 
 

Example Question #1075 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle \sqrt{49}*\sqrt{9}=\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 4\)

\(\displaystyle 58\)

\(\displaystyle 21\)

Correct answer:

\(\displaystyle 21\)

Explanation:
Find the square root:
\(\displaystyle \sqrt{49}=7\)
 
\(\displaystyle \sqrt{9}=3\)
Solve the equation: 
\(\displaystyle 7*3=21\)
 
 

Example Question #1076 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the equivalent of \(\displaystyle \frac{15}{25}\)

Possible Answers:

\(\displaystyle .60\)

\(\displaystyle .25\)

\(\displaystyle .85\)

\(\displaystyle .70\)

\(\displaystyle .15\)

Correct answer:

\(\displaystyle .60\)

Explanation:

Divide: \(\displaystyle 15\div25=.60\)

Answer: \(\displaystyle .60\)

Example Question #1077 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle \frac{8}{10}=\)

Possible Answers:

\(\displaystyle .008\)

\(\displaystyle .08\)

\(\displaystyle 8\)

\(\displaystyle .80\)

Correct answer:

\(\displaystyle .80\)

Explanation:

Divide: \(\displaystyle 8\div 10=.80\)

Answer: \(\displaystyle .80\)

Example Question #1078 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle \frac{6}{100}=\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle .60\)

\(\displaystyle .006\)

\(\displaystyle .06\)

Correct answer:

\(\displaystyle .06\)

Explanation:

Divide: \(\displaystyle 6\div 100=.06\)

Answer: \(\displaystyle .06\)

Example Question #1079 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the equivalent of \(\displaystyle \frac{30}{50}\)?

Possible Answers:

\(\displaystyle .06\)

\(\displaystyle .60\)

\(\displaystyle 6\)

\(\displaystyle .006\)

Correct answer:

\(\displaystyle .60\)

Explanation:

Divide: \(\displaystyle 30\div50=.60\)

Answer: \(\displaystyle .60\)

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