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SSAT Middle Level Math : Numbers and Operations

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #201 : Fractions

Evaluate:

$5 \frac{1}{2}- 4 \frac{1}{3} +3 \frac{2}{3}$

Possible Answers:

$4\frac{2}{3}$

$4\frac{1}{6}$

$4\frac{5}{6}$

$5 \frac{1}{3}$

Correct answer:

$4\frac{5}{6}$

Explanation:

Rewrite each as an improper fraction, then as a fraction in terms of the least common denominator, which is LCM (2,3) = 6 :

$5 \frac{1}{2} =\frac{11}{2} = \frac{33}{6}$

$4 \frac{1}{3} = \frac{13}{3} = \frac{26}{6}$

$3 \frac{2}{3} = \frac{11}{3}= \frac{22}{6}$

Rewrite the expression, evaluate it, and rewrite the result as a mixed number:

$5 \frac{1}{2}- 4 \frac{1}{3} +3 \frac{2}{3}= \frac{33}{6} - \frac{26}{6} + \frac{22}{6} = \frac{33- 26+22}{6} = \frac{7+22}{6} = \frac{29}{6} = 4 \frac{5}{6}$

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Example Question #411 : Arithmetic

Find the sum:

$\frac{2}{10}+\frac{5}{10}=$

Possible Answers:

$\frac{10}{100}$

$\frac{3}{10}$

$\frac{1}{10}$

$\frac{7}{10}$

Correct answer:

$\frac{7}{10}$

Explanation:

Since the denominators of the two fractions are the same, we can simply add the numerators:

$\frac{2}{10}+\frac{5}{10}=\frac{7}{10}$

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Example Question #412 : Arithmetic

Find the sum:

$\frac{6}{20}+\frac{7}{20}=$

Possible Answers:

$\frac{6}{40}$

$\frac{13}{20}$

$\frac{1}{20}$

$\frac{13}{40}$

Correct answer:

$\frac{13}{20}$

Explanation:

Since the denominators of the two fractions are the same, we can simply add the numerators:

$\frac{6}{20}+\frac{7}{20}=\frac{13}{20}$

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Example Question #211 : Fractions

Find the sum:

$\frac{6}{50}+\frac{11}{50}=$

Possible Answers:

$\frac{66}{2500}$

$\frac{66}{50}$

$\frac{17}{100}$

$\frac{17}{50}$

Correct answer:

$\frac{17}{50}$

Explanation:

Since the denominators of the two fractions are the same, we can simply add the numerators:

$\frac{6}{50}+\frac{11}{50}=\frac{17}{50}$

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Example Question #212 : Fractions

Solve:

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

Possible Answers:

$\frac{5}{13}$

$\frac{6}{36}$

$\frac{5}{36}$

$\frac{35}{36}$

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 #415 : Arithmetic

$\frac{5}{20}+\frac{4}{20}=$

Possible Answers:

$\frac{1}{20}$

$\frac{54}{20}$

$\frac{15}{20}$

$\frac{9}{20}$

Correct answer:

$\frac{9}{20}$

Explanation:

Add the numerators and keep the denominator:

$\frac{5}{20}+\frac{4}{20}=\frac{9}{20}$

Answer: $\frac{9}{20}$

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Example Question #416 : Arithmetic

$\frac{6}{35}+\frac{17}{35}=$

Possible Answers:

$\frac{32}{35}$

$\frac{11}{35}$

$\frac{34}{35}$

$\frac{23}{35}$

Correct answer:

$\frac{23}{35}$

Explanation:

Add the numerators and keep the denominator:

$\frac{6}{35}+\frac{17}{35}=\frac{23}{35}$

Answer: $\frac{23}{35}$

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Example Question #417 : Arithmetic

$\frac{32}{99}+\frac{5}{99}=$

Possible Answers:

$\frac{27}{99}$

$\frac{37}{99}$

Correct answer:

$\frac{37}{99}$

Explanation:

Add the numerators and keep the denominator the same:

$\frac{32}{99}+\frac{5}{99}=\frac{37}{99}$

Answer: $\frac{37}{99}$

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Example Question #418 : Arithmetic

$\frac{12}{19}+\frac{7}{19}=$

Possible Answers:

$\frac{5}{19}$

$\frac{18}{19}$

Correct answer:

Explanation:

Add the numerators and keep the denominator the same. Then, simplify:

$\frac{12}{19}+\frac{7}{19}=\frac{19}{19}=1$

Answer:

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Example Question #419 : Arithmetic

$\frac{22}{29}+\frac{36}{29}=$

Possible Answers:

$\frac{32}{29}$

$\frac{10}{29}$

Correct answer:

Explanation:

Add the numerators and keep the denominator the same. Then, reduce:

$\frac{22}{29}+\frac{36}{29}=\frac{58}{29}=2$

Answer:

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #201 : Fractions

Example Question #411 : Arithmetic

Example Question #412 : Arithmetic

Example Question #211 : Fractions

Example Question #212 : Fractions

Example Question #415 : Arithmetic

Example Question #416 : Arithmetic

Example Question #417 : Arithmetic

Example Question #418 : Arithmetic

Example Question #419 : Arithmetic

All SSAT Middle Level Math Resources

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