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

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 #157 : Fractions

Molly has gallon of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{2}$ s are in whole?

To solve $1\div\frac{1}{2}$ we multiply by the reciprocal

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

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Example Question #158 : Fractions

Kailynn has gallons of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{2}$ s are in wholes?

To solve $2\div\frac{1}{2}$ we multiply by the reciprocal

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

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Example Question #159 : Fractions

Kailynn has gallons of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{2}$ s are in wholes?

To solve $3\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{3}{1}\times\frac{2}{1}=\frac{6}{1}=6$

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Example Question #22 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{7}{2}lb$

$\frac{1}{28}lb$

$\frac{7}{3}lb$

$\frac{1}{7}lb$

$\frac{1}{21}lb$

Correct answer:

$\frac{1}{21}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div7$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{7}=\frac{1}{21}$

1 21

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Example Question #161 : Fractions

David has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{5}{3}lb$

$\frac{8}{3}lb$

$\frac{1}{15}lb$

$\frac{3}{8}lb$

$\frac{1}{5}lb$

Correct answer:

$\frac{1}{15}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div5$ we multiply by the reciprocal.

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

1 15

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Example Question #161 : Fractions

Solve the following problem.

$\frac{3}{11}\div \frac{5}{23}=$

Possible Answers:

$1\frac{1}{9}$

$1\frac{3}{7}$

$1 \frac{14}{55}$

$\frac{1}{3}$

Correct answer:

$1 \frac{14}{55}$

Explanation:

When dividing fractions, you invert the second fraction and multiply.

$\frac{3}{11}\times \frac{23}{5}=\frac{69}{55}=1\frac{14}{55}$

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Example Question #22 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{4}\textup{ cup}$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{4}\textup{ cup}$ servings are in cups, we are dividing by $\frac{1}{4}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

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

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Example Question #181 : Operations With Fractions And Whole Numbers

Solve:

$\small \frac{3}{4}\div\frac{2}{3}$

Possible Answers:

$1\frac{1}{}8$

$\small \frac{5}{6}$

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

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

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

Correct answer:

$1\frac{1}{}8$

Explanation:

$\small \frac{3}{4}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{4}\times\frac{3}{2}=\frac{9}{8}$

$\frac{9}{8}=1\frac{1}{8}$ because can go into one time with left over.

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Example Question #165 : Fractions

Solve:

$\small \frac{5}{8}\div\frac{1}{2}$

Possible Answers:

$\small \frac{5}{11}$

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

$\small \frac{8}{10}$

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

$1\frac{1}{4}$

Correct answer:

$1\frac{1}{4}$

Explanation:

$\small \frac{5}{8}\div\frac{1}{2}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{5}{8}\times\frac{2}{1}=\frac{10}{8}$

$\frac{10}{8}=1\frac{2}{8}=1\frac{1}{4}$ because can go into one time with left over.

$\frac{2}{8}\div\frac{2}{2}=\frac{1}{4}$

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Example Question #645 : Numbers And Operations

Rectangle 1

The above rectangle is divided into squares of equal size. The shaded region has area 45. Give the area of the entire rectangle.

Possible Answers:

$71\frac{3}{7}$

$51\frac{3}{7}$

$64 \frac{2}{7}$

$57 \frac{1}{7}$

Correct answer:

$64 \frac{2}{7}$

Explanation:

Seven of the ten squares of the rectangle - $\frac{7}{10 }$ of it - is shaded in. If we let be the area of the rectangle, then

$A \cdot \frac{7}{10 } = 45$

$A \cdot \frac{7}{10 } \div \frac{7}{10 } = 45 \div \frac{7}{10 }$

$A = 45 \cdot \frac{10 } {7} = \frac{45 }{1}\cdot \frac{10 } {7} = \frac{450}{7}$

Divide 450 by 7 - the quotient is 64 and the remainder is 2, so the area can be written as $A = 64 \frac{2}{7}$ .

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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 #157 : Fractions

Example Question #158 : Fractions

Example Question #159 : Fractions

Example Question #22 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #161 : Fractions

Example Question #161 : Fractions

Example Question #22 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #181 : Operations With Fractions And Whole Numbers

Example Question #165 : Fractions

Example Question #645 : Numbers And Operations

All SSAT Middle Level Math Resources

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