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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 #116 : How To Find The Part From The Whole

Round 127.426 to the nearest tenth.

Possible Answers:

127.3

127.4

127.43

127.5

127.42

Correct answer:

127.4

Explanation:

When we round a number to the nearest tenth we look to the hundredths place to tell us if we round up or down.

$127.4{\color{Blue} 2}6$

If the number in our hundredths place is or greater, we round up. If the number in the hundredths place is or less, we round down. When we round up, the number in the hundredths place increases by and all the other numbers to the right become . When we round down, the number in the hundredths place stays the same and all the other numbers to the right become .

In this case, is less than so our rounded number is 127.400 or 127.4

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Example Question #481 : Numbers And Operations

is larger than 0. Which of the following could be equal to $3 \times Z$ ?

II. $2\frac{2}{7}$

III.

Possible Answers:

III only

I only

I, II and III

II only

I and II

Correct answer:

I, II and III

Explanation:

All of the answers can be divided by 3 to yield an answer larger than zero. In fact, any positive number would be a viable answer.

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Example Question #482 : Numbers And Operations

Express the quotient as a fraction in lowest terms:

$5 \frac{3}{5} \div 4 \frac{1}{5}$

Possible Answers:

$1 \frac{1}{3}$

$1 \frac{1}{4}$

$\frac{4}{5}$

$\frac{3}{4}$

$1 \frac{3}{4}$

Correct answer:

$1 \frac{1}{3}$

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

$5 \frac{3}{5} \div 4 \frac{1}{5} = \frac{28}{5 } \div \frac{21}{5 } = \frac{28}{5 } \cdot \frac{5}{21 }= \frac{4}{1 } \cdot \frac{1}{3 }= \frac{4}{3 }$

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Example Question #483 : Numbers And Operations

Express the quotient as a fraction in lowest terms:

$4 \frac{1}{5} \div 5 \frac{3}{5}$

Possible Answers:

$\frac{5}{7}$

$1 \frac{1}{3}$

$\frac{3}{4}$

$1 \frac{1}{4}$

$\frac{6}{7}$

Correct answer:

$\frac{3}{4}$

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

$4 \frac{1}{5} \div 5 \frac{3}{5} = \frac{21}{5} \div \frac{28}{5} = \frac{21}{5} \cdot \frac{5}{28} = \frac{3}{1} \cdot \frac{1}{4} = \frac{3}{4}$

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Example Question #484 : Numbers And Operations

Evaluate:

$\frac{12}{5} \div \frac{4}{25}$

Possible Answers:

$\frac{8}{25}$

$\frac{1}{15}$

$\frac{3}{5}$

$\frac{5}{3}$

Correct answer:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{12}{5} \div \frac{4}{25} = \frac{12}{5} \times \frac{25}{4} = \frac{3}{1} \times \frac{5}{1} = \frac{15}{1} = 15$

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Example Question #485 : Numbers And Operations

Evaluate:

$\frac{4}{25} \div \frac{12}{5}$

Possible Answers:

$\frac{1}{15}$

$\frac{8}{25}$

$\frac{5}{3}$

$\frac{3}{5}$

Correct answer:

$\frac{1}{15}$

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{4}{25} \div \frac{12}{5} = \frac{4}{25} \times \frac{5}{12} = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}$

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Example Question #486 : Numbers And Operations

Evaluate:

$\frac{5}{8} \div \frac{25}{16}$

Possible Answers:

$\frac{1}{10}$

$\frac{4}{5}$

$\frac{5}{2}$

$\frac{2}{5}$

$\frac{5}{4}$

Correct answer:

$\frac{2}{5}$

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{5}{8} \div \frac{25}{16} = \frac{5}{8} \times \frac{16}{25} = \frac{1}{1} \times \frac{2}{5} = \frac{2}{5}$

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Example Question #487 : Numbers And Operations

Evaluate:

$\frac{8}{5} \div \frac{24}{35}$

Possible Answers:

$\frac{1}{21}$

$\frac{3}{8}$

$\frac{3}{7}$

$\frac{8}{3}$

$\frac{7}{3}$

Correct answer:

$\frac{7}{3}$

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

$\frac{8}{5} \div \frac{24}{35} = \frac{8}{5} \times \frac{35}{24} = \frac{1}{1} \times \frac{7}{3} =\frac{7}{3}$

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Example Question #488 : Numbers And Operations

Evaluate:

$3 \div \frac{1}{12}$

Possible Answers:

$\frac{1}{36}$

$\frac{1}{4}$

Correct answer:

Explanation:

$3 \div \frac{1}{12} = \frac{3}{1} \div \frac{1}{12} = \frac{3}{1}\times \frac{12}{1} = 3 \times 12 = 36$

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Example Question #489 : Numbers And Operations

Evaluate:

$18 \div \frac{1}{6}$

Possible Answers:

$\frac{1}{3}$

108

$\frac{1}{108}$

Correct answer:

108

Explanation:

$18 \div \frac{1}{6} = \frac{18}{1} \div \frac{1}{6} = \frac{18}{1} \times \frac{6}{1} = 18 \times 6 = 108$

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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 #116 : How To Find The Part From The Whole

Example Question #481 : Numbers And Operations

Example Question #482 : Numbers And Operations

Example Question #483 : Numbers And Operations

Example Question #484 : Numbers And Operations

Example Question #485 : Numbers And Operations

Example Question #486 : Numbers And Operations

Example Question #487 : Numbers And Operations

Example Question #488 : Numbers And Operations

Example Question #489 : Numbers And Operations

All SSAT Middle Level Math Resources

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