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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

Example Questions

Example Question #1691 : Ssat Middle Level Quantitative (Math)

$\small \frac{3}{5}\times7$ $\displaystyle \small \frac{3}{5}\times7$

Possible Answers:

$\small \frac{5}{21}$ $\displaystyle \small \frac{5}{21}$

$\small \frac{21}{5}$ $\displaystyle \small \frac{21}{5}$

$\small \frac{3}{35}$ $\displaystyle \small \frac{3}{35}$

$\small \frac{35}{3}$ $\displaystyle \small \frac{35}{3}$

$\small \frac{9}{11}$ $\displaystyle \small \frac{9}{11}$

Correct answer:

$\small \frac{21}{5}$ $\displaystyle \small \frac{21}{5}$

Explanation:

$\small \frac{3}{5}\times7$ $\displaystyle \small \frac{3}{5}\times7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\displaystyle 1.$ Then we multiply like normal.

$\small \small \small \frac{3}{5}\times\frac{7}{1}=\frac{21}{5}$ $\displaystyle \small \small \small \frac{3}{5}\times\frac{7}{1}=\frac{21}{5}$

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Example Question #21 : Operations With Fractions And Whole Numbers

$\small \frac{3}{9}\times2$ $\displaystyle \small \frac{3}{9}\times2$

Possible Answers:

$\small \frac{3}{18}$ $\displaystyle \small \frac{3}{18}$

$\small \frac{18}{3}$ $\displaystyle \small \frac{18}{3}$

$\small \frac{6}{9}$ $\displaystyle \small \frac{6}{9}$

$\small \frac{1}{3}$ $\displaystyle \small \frac{1}{3}$

$\small \frac{9}{6}$ $\displaystyle \small \frac{9}{6}$

Correct answer:

$\small \frac{6}{9}$ $\displaystyle \small \frac{6}{9}$

Explanation:

$\small \frac{3}{9}\times2$ $\displaystyle \small \frac{3}{9}\times2$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ $\displaystyle \small 1.$ Then we multiply like normal.

$\small \small \frac{3}{9}\times\frac{2}{1}=\frac{6}{9}$ $\displaystyle \small \small \frac{3}{9}\times\frac{2}{1}=\frac{6}{9}$

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Example Question #21 : Operations With Fractions And Whole Numbers

$\small 5\times\frac{1}{3}$ $\displaystyle \small 5\times\frac{1}{3}$

Possible Answers:

$\small \frac{5}{3}$ $\displaystyle \small \frac{5}{3}$

$\small \frac{3}{5}$ $\displaystyle \small \frac{3}{5}$

$\small \frac{4}{2}$ $\displaystyle \small \frac{4}{2}$

$\small \frac{15}{1}$ $\displaystyle \small \frac{15}{1}$

$\small \frac{1}{15}$ $\displaystyle \small \frac{1}{15}$

Correct answer:

$\small \frac{5}{3}$ $\displaystyle \small \frac{5}{3}$

Explanation:

$\small 5\times\frac{1}{3}$ $\displaystyle \small 5\times\frac{1}{3}$

$\small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$ $\displaystyle \small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$

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Example Question #251 : Number & Operations With Fractions

$\small \frac{1}{3}\times 10$ $\displaystyle \small \frac{1}{3}\times 10$

Possible Answers:

$\small \frac{5}{3}$ $\displaystyle \small \frac{5}{3}$

$\small \frac{1}{30}$ $\displaystyle \small \frac{1}{30}$

$\small \frac{3}{10}$ $\displaystyle \small \frac{3}{10}$

$\small \frac{30}{1}$ $\displaystyle \small \frac{30}{1}$

$\small \frac{10}{3}$ $\displaystyle \small \frac{10}{3}$

Correct answer:

$\small \frac{10}{3}$ $\displaystyle \small \frac{10}{3}$

Explanation:

$\small \frac{1}{3}\times 10$ $\displaystyle \small \frac{1}{3}\times 10$

$\small \small \frac{1}{3}\times \frac{10}{1}=\frac{10}{3}$ $\displaystyle \small \small \frac{1}{3}\times \frac{10}{1}=\frac{10}{3}$

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Example Question #1695 : Ssat Middle Level Quantitative (Math)

$\small \frac{3}{7}\times10$ $\displaystyle \small \frac{3}{7}\times10$

Possible Answers:

$\small \frac{30}{7}$ $\displaystyle \small \frac{30}{7}$

$\small \frac{12}{3}$ $\displaystyle \small \frac{12}{3}$

$\small \frac{3}{70}$ $\displaystyle \small \frac{3}{70}$

$\small \frac{70}{3}$ $\displaystyle \small \frac{70}{3}$

$\small \frac{7}{30}$ $\displaystyle \small \frac{7}{30}$

Correct answer:

$\small \frac{30}{7}$ $\displaystyle \small \frac{30}{7}$

Explanation:

$\small \frac{3}{7}\times10$ $\displaystyle \small \frac{3}{7}\times10$

$\small \small \frac{3}{7}\times\frac{10}{1}=\frac{30}{7}$ $\displaystyle \small \small \frac{3}{7}\times\frac{10}{1}=\frac{30}{7}$

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Example Question #1696 : Ssat Middle Level Quantitative (Math)

$\small \frac{2}{7}\times11$ $\displaystyle \small \frac{2}{7}\times11$

Possible Answers:

$\small \frac{7}{22}$ $\displaystyle \small \frac{7}{22}$

$\small \frac{2}{77}$ $\displaystyle \small \frac{2}{77}$

$\small \frac{77}2{}$ $\displaystyle \small \frac{77}2{}$

$\small \frac{22}7{}$ $\displaystyle \small \frac{22}7{}$

$\small \frac{20}{7}$ $\displaystyle \small \frac{20}{7}$

Correct answer:

$\small \frac{22}7{}$ $\displaystyle \small \frac{22}7{}$

Explanation:

$\small \frac{2}{7}\times11$ $\displaystyle \small \frac{2}{7}\times11$

$\small \small \frac{2}{7}\times\frac{11}{1}=\frac{22}{7}$ $\displaystyle \small \small \frac{2}{7}\times\frac{11}{1}=\frac{22}{7}$

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Example Question #22 : Operations With Fractions And Whole Numbers

$\small \frac{8}{9}\times7$ $\displaystyle \small \frac{8}{9}\times7$

Possible Answers:

$\small \frac{9}{56}$ $\displaystyle \small \frac{9}{56}$

$\small \frac{63}{8}$ $\displaystyle \small \frac{63}{8}$

$\small \frac{8}{63}$ $\displaystyle \small \frac{8}{63}$

$\small \frac{56}{63}$ $\displaystyle \small \frac{56}{63}$

$\small \frac{56}{9}$ $\displaystyle \small \frac{56}{9}$

Correct answer:

$\small \frac{56}{9}$ $\displaystyle \small \frac{56}{9}$

Explanation:

$\small \frac{8}{9}\times7$ $\displaystyle \small \frac{8}{9}\times7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\displaystyle 1.$ Then we multiply like normal.

$\small \small \frac{8}{9}\times\frac{7}{1}=\frac{56}{9}$ $\displaystyle \small \small \frac{8}{9}\times\frac{7}{1}=\frac{56}{9}$

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Example Question #1691 : Ssat Middle Level Quantitative (Math)

Fill in the blank with the correct sign.

$\small 5\times \frac{1}{3}$ $\displaystyle \small 5\times \frac{1}{3}$ __________ $\small 5$ $\displaystyle \small 5$

Possible Answers:

$\small =$ $\displaystyle \small =$

$\small >$ $\displaystyle \small >$

$\small <$ $\displaystyle \small < $

Correct answer:

$\small <$ $\displaystyle \small < $

Explanation:

$\small 5\times \frac{1}{3}$ $\displaystyle \small 5\times \frac{1}{3}$ __________ $\small 5$ $\displaystyle \small 5$

$\small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$ $\displaystyle \small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$

$\small \frac{5}{3}=1\frac{2}{3}$ $\displaystyle \small \frac{5}{3}=1\frac{2}{3}$ Because $\displaystyle 3$ can go into $\small 5$ $\displaystyle \small 5$ only $\displaystyle 1$ time, and $\small \frac{2}{3}$ $\displaystyle \small \frac{2}{3}$ is left over.

$\small 1\frac{2}{3}$ $\displaystyle \small 1\frac{2}{3}$ __________ $\small 5$ $\displaystyle \small 5$

$\small 1\frac{2}{3}<5$ $\displaystyle \small 1\frac{2}{3}< 5$

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Example Question #1692 : Ssat Middle Level Quantitative (Math)

Fill in the blank with the correct sign.

$\small 7\times\frac{3}{4}$ $\displaystyle \small 7\times\frac{3}{4}$ __________ $\small 7$ $\displaystyle \small 7$

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\small =$ $\displaystyle \small =$

Correct answer:

$\displaystyle < $

Explanation:

$\small 7\times\frac{3}{4}$ $\displaystyle \small 7\times\frac{3}{4}$ __________ $\small 7$ $\displaystyle \small 7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\displaystyle 1.$ Then we multiply like normal.

$\small \frac{7}{1}\times\frac{3}{4}=\frac{21}{4}$ $\displaystyle \small \frac{7}{1}\times\frac{3}{4}=\frac{21}{4}$

$\small \frac{21}{4}=5\frac{1}{4}$ $\displaystyle \small \frac{21}{4}=5\frac{1}{4}$ Because $\small 4$ $\displaystyle \small 4$ can go into $\small 21$ $\displaystyle \small 21$ only $\small 5$ $\displaystyle \small 5$ times and $\small \frac{1}{4}$ $\displaystyle \small \frac{1}{4}$ is left over.

$\small 5\frac{1}{4}<7$ $\displaystyle \small 5\frac{1}{4}< 7$

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Example Question #1693 : Ssat Middle Level Quantitative (Math)

Fill in the blank with the correct sign.

$\small 8$ $\displaystyle \small 8$ __________ $\small 8\times\frac{1}{5}$ $\displaystyle \small 8\times\frac{1}{5}$

Possible Answers:

$\small <$ $\displaystyle \small < $

$\small >$ $\displaystyle \small >$

$\small =$ $\displaystyle \small =$

Correct answer:

$\small >$ $\displaystyle \small >$

Explanation:

$\small 8$ $\displaystyle \small 8$ __________ $\small 8\times\frac{1}{5}$ $\displaystyle \small 8\times\frac{1}{5}$

$\small \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}$ $\displaystyle \small \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}$

$\small \frac{8}{5}=1\frac{3}{5}$ $\displaystyle \small \frac{8}{5}=1\frac{3}{5}$ Because $\small 5$ $\displaystyle \small 5$ can go into $\small 8$ $\displaystyle \small 8$ only $\small 1$ $\displaystyle \small 1$ time and $\small \frac{3}{5}$ $\displaystyle \small \frac{3}{5}$ is left over.

$\small 8>1\frac{3}{5}$ $\displaystyle \small 8>1\frac{3}{5}$

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All SSAT Middle Level Math Resources

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1691 : Ssat Middle Level Quantitative (Math)

Example Question #21 : Operations With Fractions And Whole Numbers

Example Question #21 : Operations With Fractions And Whole Numbers

Example Question #251 : Number & Operations With Fractions

Example Question #1695 : Ssat Middle Level Quantitative (Math)

Example Question #1696 : Ssat Middle Level Quantitative (Math)

Example Question #22 : Operations With Fractions And Whole Numbers

Example Question #1691 : Ssat Middle Level Quantitative (Math)

Example Question #1692 : Ssat Middle Level Quantitative (Math)

Example Question #1693 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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