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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 #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Kara collected $\small \frac{5}{7}$ of a bag of leaves. Drew collected times as many bags as Kara. How many bags did Drew collect?

Possible Answers:

$\small 2\frac{1}{7}$

$\small 1\frac{1}{7}$

$\small \frac{6}{10}$

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

$\small 1\frac{8}{7}$

Correct answer:

$\small 2\frac{1}{7}$

Explanation:

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 $\small 1.$ Then we multiply like normal.

$\small \frac{3}{1}\times\frac{5}{7}=\frac{15}{7}$

$\small \frac{15}{7}=2\frac{1}{7}$ Because can go into only $\small 2$ times and $\small \frac{1}{7}$ is left over.

Drew collected $\small 2\frac{1}{7}$ bags of leaves.

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Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Jenny collected $\small \frac{9}{11}$ of a bag of leaves. Brian collected times as many bags as Jenny. How many bags did Brian collect?

Possible Answers:

$\small 3\frac{3}{11}$

$\small \frac{9}{44}$

$\small 4\frac{3}{11}$

$\small \frac{44}{9}$

$\small \frac{5}{7}$

Correct answer:

$\small 3\frac{3}{11}$

Explanation:

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 Then we multiply like normal.

$\small \frac{4}{1}\times\frac{9}{11}=\frac{36}{11}$

$\small \frac{36}{11}=3\frac{3}{11}$ Because $\small 11$ can go into $\small 36$ only $\small 3$ times and $\small \frac{3}{11}$ is left over.

Brian collected $\small 3\frac{3}{11}$ bags of leaves.

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Example Question #1051 : Numbers And Operations

Liz collected $\small \frac{3}{4}$ of a bag of leaves. Tammy collected $\small 12$ times as many bags as Liz. How many bags did Tammy collect?

Possible Answers:

$\small 7$

$\small \frac{3}{48}$

$\small 8$

$\small \frac{48}{3}$

$\small 9$

Correct answer:

$\small 9$

Explanation:

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 $\small 1.$ Then we multiply like normal.

$\small \frac{12}{1}\times\frac{3}{4}=\frac{36}{4}$

$\small \frac{36}{4}=9$ Because $\small 4$ can go into $\small 36$ an even $\small 9$ times.

Tammy collected $\small 9$ bags of leaves.

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Example Question #1711 : Ssat Middle Level Quantitative (Math)

Heather collected $\small \frac{1}{2}$ of a bag of leaves. Matt collected times as many bags as Heather. How many bags did Matt collect?

Possible Answers:

$\small 1$

$\small 1\frac{1}{2}$

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

$\small 2$

$\small \frac{1}{6}$

Correct answer:

$\small 1\frac{1}{2}$

Explanation:

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 $\small 1.$ Then we multiply like normal.

$\small \frac{3}{1}\times\frac{1}{2}=\frac{3}{2}$

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

Matt collected $\small 1\frac{1}2{}$ bags of leaves.

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Example Question #1052 : Numbers And Operations

Dave collected $\small \frac{5}{7}$ of a bag of leaves. Wes collected $\small 4$ times as many bags as Dave. How many bags did Wes collect?

Possible Answers:

$\small 3\frac{6}{7}$

$\small \frac{5}{28}$

$\small 2\frac{6}{7}$

Correct answer:

$\small 2\frac{6}{7}$

Explanation:

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 $\small 1.$ Then we multiply like normal.

$\small \frac{4}{1}\times \frac{5}{7}=\frac{20}{7}$

$\small \frac{20}{7}=2\frac{6}{7}$ Because $\small 7$ can go into only times and $\small \frac{6}{7}$ is left over.

Wes collected $\small 2\frac{6}{7}$ bags of leaves.

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Example Question #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Megan collected $\small \frac{1}{3}$ of a bag of leaves. Sally collected times as many bags as Megan. How many bags did Sally collect?

Possible Answers:

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

$\small \frac{1}{9}$

$\small \frac{2}{3}$

$\small \frac{1}{2}$

Correct answer:

Explanation:

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 Then we multiply like normal.

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

$\small \frac{3}{3}=1$ Because can go into $\small 3$ an even $\small 1$ time.

Sally collected $\small 1$ bag of leaves.

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Example Question #1711 : Ssat Middle Level Quantitative (Math)

Todd collected $\small \frac{2}{8}$ of a bag of leaves. Tim collected times as many bags as Todd. How many bags did Tim collect?

Possible Answers:

$\small \frac{3}{8}$

$\small \frac{6}{8}$

$\small \frac{2}{3}$

$\small 1$

$\small 2$

Correct answer:

$\small 1$

Explanation:

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 Then we multiply like normal.

$\small \frac{4}{1}\times\frac{2}{8}=\frac{8}{8}$

$\small \frac{8}{8}=1$ Because $\small 8$ can go into $\small 8$ an even $\small 1$ time.

Tim collected $\small 1$ bag of leaves.

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Example Question #472 : Number & Operations With Fractions

Missy collected $\small \frac{1}{5}$ of a bag of leaves. Jen collected $\small 5$ times as many bags as Missy. How many bags did Jen collect?

Possible Answers:

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

$\small \frac{1}{10}$

$\small \frac{5}{7}$

$\small 2$

Correct answer:

Explanation:

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 $\small 1.$ Then we multiply like normal.

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

$\small \frac{5}{5}=1$ Because $\small 5$ can go into $\small 5$ an even $\small 1$ time.

Jen collected 1 bag of leaves.

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Example Question #2 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{1}{5}\times\frac{3}{9}$

Possible Answers:

$\frac{2}{3}$

$\frac{1}{15}$

$\frac{9}{45}$

$\frac{4}{45}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{15}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{1}{5}\times\frac{3}{9}=\frac{3}{45}$

$\frac{3}{45}$ can be reduced by dividing both sides by

$\frac{3}{45}\div\frac{3}{3}=\frac{1}{15}$

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Example Question #5 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{2}{7}\times\frac{1}{2}$

Possible Answers:

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{5}{7}$

$\frac{4}{7}$

$\frac{1}{7}$

Correct answer:

$\frac{1}{7}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

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

$\frac{2}{14}$ can be reduced by dividing both sides by

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

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All SSAT Middle Level Math Resources

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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 #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #1051 : Numbers And Operations

Example Question #1711 : Ssat Middle Level Quantitative (Math)

Example Question #1052 : Numbers And Operations

Example Question #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #1711 : Ssat Middle Level Quantitative (Math)

Example Question #472 : Number & Operations With Fractions

Example Question #2 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #5 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

All SSAT Middle Level Math Resources

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