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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 #1065 : Hspt Mathematics

Subtract: $\frac{52}{90}-\frac{10}{90}=$

Possible Answers:

$\frac{7}{15}$

$\frac{42}{0}$

$\frac{62}{90}$

Correct answer:

$\frac{7}{15}$

Explanation:

Subtract the numerators and keep the denominators the same:

$\frac{52}{90}-\frac{10}{90}=\frac{42}{90}$

Reduce the fraction: $\frac{42\div 2}{90 \div 2}=\frac{21}{45}$

Reduce again: $\frac{21\div 3}{45 \div 3}=\frac{7}{15}$

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Example Question #1311 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

$\frac{1}{2}-\frac{3}{7}$

Possible Answers:

$\frac{3}{5}$

$\frac{1}{7}$

$\frac{1}{14}$

$-\frac{1}{14}$

$-\frac{3}{5}$

Correct answer:

$\frac{1}{14}$

Explanation:

The lowest common denominator of 2 and 7 is 14.

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

$\frac{3}{7}=\frac{6}{14}$

$\frac{7}{14}-\frac{6}{14}=\frac{1}{14}$

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Example Question #182 : Fractions

Subtract:

$\frac{5}{15}-\frac{2}{15}=$

Possible Answers:

$\frac{1}{15}$

$\frac{6}{15}$

$\frac{3}{15}$

$\frac{1}{30}$

$\frac{7}{15}$

Correct answer:

$\frac{3}{15}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{5}{15}-\frac{2}{15}=\frac{3}{15}$

Answer: $\frac{3}{15}$

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Example Question #183 : Fractions

Subtract:

$\frac{3}{12}-\frac{2}{12}=$

Possible Answers:

$\frac{1}{24}$

$\frac{1}{12}$

$\frac{5}{12}$

$\frac{11}{12}$

Correct answer:

$\frac{1}{12}$

Explanation:

Subtract the numerators and leave the denominators the same:

$\frac{3}{12}-\frac{2}{12}=\frac{1}{12}$

Answer: $\frac{1}{12}$

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Example Question #1312 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for the expression below.

$\frac{3}{7}-\frac{1}{3}$

Possible Answers:

$\frac{2}{21}$

$\frac{1}{7}$

$\frac{1}{21}$

$\frac{3}{21}$

Correct answer:

$\frac{2}{21}$

Explanation:

In order to subtract fractions, the least common denominator must be found for the denominator. The least common denominator of 3 and 7 is 21. Therefore, the fractions should be converted accordingly:

$\frac{3}{7}-\frac{1}{3}$

$\frac{9}{21}-\frac{7}{21}$

$\frac{2}{21}$

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Example Question #1313 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the solution to the expression below?

$\frac{3}{4}-\frac{7}{9}$

Possible Answers:

$\frac{1}{36}$

$-\frac{1}{36}$

Correct answer:

$-\frac{1}{36}$

Explanation:

In order to subtract fractions, the least common denominator must be found for the denominator. The least common denominator of 4 and 9 is 36. Therefore, the fractions should be converted accordingly:

$\frac{3}{4}-\frac{7}{9}$

$\frac{27}{36}-\frac{28}{36}$

$-\frac{1}{36}$

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Example Question #184 : Fractions

$\frac{20}{21}-\frac{14}{21}=$

Possible Answers:

$\frac{20}{21}$

$\frac{10}{21}$

$\frac{6}{21}$

$\frac{3}{21}$

Correct answer:

$\frac{6}{21}$

Explanation:

Subtract the numerators and keep the denominator as is:

$\frac{20}{21}-\frac{14}{21}=\frac{6}{21}$

Answer: $\frac{6}{21}$

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Example Question #281 : Fractions

Evaluate:

$20 - \left ( 7.5 \times 3 - 1.2 \right )$

Possible Answers:

-1.3

36.3

- 3.7

22.5

6.5

Correct answer:

-1.3

Explanation:

By the order of operations, carry out the operations in parentheses first; since there is a multiplication and a subtraction present, carry them out in that order. Finally, carry out the remaining subtraction:

$20 - \left ( 7.5 \times 3 - 1.2 \right )$

$= 20 - \left ( 22.5 - 1.2 \right )$

= 20 - 21.3

= -1.3

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Example Question #1314 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Subtract:

$\frac{17}{63}-\frac{11}{63}=$

Possible Answers:

$\frac{63}{6}$

$\frac{6}{63}$

$\frac{28}{63}$

Correct answer:

$\frac{6}{63}$

Explanation:

To solve, subtract the numerators and leave the denominators the same:

$\frac{17}{63}-\frac{11}{63}=\frac{6}{63}$

Answer: $\frac{6}{63}$

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Example Question #1315 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Subtract:

$\frac{25}{88}-\frac{16}{88}=$

Possible Answers:

$\frac{34}{88}$

$\frac{41}{88}$

$\frac{9}{88}$

Correct answer:

$\frac{9}{88}$

Explanation:

To solve, subtract the numerators and leave the denominators the same:

$\frac{25}{63}-\frac{16}{88}=\frac{9}{88}$

Answer: $\frac{9}{88}$

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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 #1065 : Hspt Mathematics

Example Question #1311 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #182 : Fractions

Example Question #183 : Fractions

Example Question #1312 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1313 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #184 : Fractions

Example Question #281 : Fractions

Example Question #1314 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1315 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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