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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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Example Questions

Example Question #19 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Drew has $\frac{1}{3}lb$ $\displaystyle \frac{1}{3}lb$ of peanuts that he wants to divide evenly into $\displaystyle 9$ bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{9}lb$ $\displaystyle \frac{1}{9}lb$

$\frac{1}{18}lb$ $\displaystyle \frac{1}{18}lb$

$\frac{9}{3}lb$ $\displaystyle \frac{9}{3}lb$

$\frac{1}{27}lb$ $\displaystyle \frac{1}{27}lb$

$\frac{1}{42}lb$ $\displaystyle \frac{1}{42}lb$

Correct answer:

$\frac{1}{27}lb$ $\displaystyle \frac{1}{27}lb$

Explanation:

We are splitting $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ into $\displaystyle 9$ equal groups, so we are dividing $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ by $\displaystyle 9$.

To solve $\frac{1}{3}\div9$ $\displaystyle \frac{1}{3}\div9$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$ $\displaystyle \frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$

1 27

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Example Question #13 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Tim has $\frac{1}{3}lb$ $\displaystyle \frac{1}{3}lb$ of peanuts that he wants to divide evenly into $\displaystyle 10$ bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{42}lb$ $\displaystyle \frac{1}{42}lb$

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

$\frac{1}{35}lb$ $\displaystyle \frac{1}{35}lb$

$\frac{1}{10}lb$ $\displaystyle \frac{1}{10}lb$

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

Correct answer:

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

Explanation:

We are splitting $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ into $\displaystyle 10$ equal groups, so we are dividing $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ by $\displaystyle 10$.

To solve $\frac{1}{3}\div10$ $\displaystyle \frac{1}{3}\div10$ we multiply by the reciprocal.

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

1 30

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Example Question #561 : Number & Operations With Fractions

Tim has $\frac{1}{3}lb$ $\displaystyle \frac{1}{3}lb$ of peanuts that he wants to divide evenly into $\displaystyle 11$ bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{11}lb$ $\displaystyle \frac{1}{11}lb$

$\frac{11}{3}lb$ $\displaystyle \frac{11}{3}lb$

$\frac{3}{11}lb$ $\displaystyle \frac{3}{11}lb$

$\frac{1}{33}lb$ $\displaystyle \frac{1}{33}lb$

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

Correct answer:

$\frac{1}{33}lb$ $\displaystyle \frac{1}{33}lb$

Explanation:

We are splitting $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ into $\displaystyle 11$ equal groups, so we are dividing $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ by $\displaystyle 11$.

To solve $\frac{1}{3}\div11$ $\displaystyle \frac{1}{3}\div11$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{11}=\frac{1}{33}$ $\displaystyle \frac{1}{3}\times\frac{1}{11}=\frac{1}{33}$

1 33

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Example Question #1251 : Ssat Middle Level Quantitative (Math)

Drew has $\frac{1}{3}lb$ $\displaystyle \frac{1}{3}lb$ of peanuts that he wants to divide evenly into $\displaystyle 12$ bags. How much will each bag of peanuts weigh?

Possible Answers:

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

$\frac{1}{48}lb$ $\displaystyle \frac{1}{48}lb$

$\frac{1}{12}lb$ $\displaystyle \frac{1}{12}lb$

$\frac{1}{36}lb$ $\displaystyle \frac{1}{36}lb$

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

Correct answer:

$\frac{1}{36}lb$ $\displaystyle \frac{1}{36}lb$

Explanation:

We are splitting $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ into $\displaystyle 12$ equal groups, so we are dividing $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ by $\displaystyle 12$.

To solve $\frac{1}{3}\div12$ $\displaystyle \frac{1}{3}\div12$ we multiply by the reciprocal.

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

1 36

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Example Question #1252 : Ssat Middle Level Quantitative (Math)

Tim has $\frac{1}{3}lb$ $\displaystyle \frac{1}{3}lb$ of peanuts that he wants to divide evenly into $\displaystyle 13$ bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{13}{3}lb$ $\displaystyle \frac{13}{3}lb$

$\frac{1}{40}lb$ $\displaystyle \frac{1}{40}lb$

$\frac{1}{39}lb$ $\displaystyle \frac{1}{39}lb$

$\frac{1}{29}lb$ $\displaystyle \frac{1}{29}lb$

$\frac{1}{13}lb$ $\displaystyle \frac{1}{13}lb$

Correct answer:

$\frac{1}{39}lb$ $\displaystyle \frac{1}{39}lb$

Explanation:

We are splitting $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ into $\displaystyle 13$ equal groups, so we are dividing $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ by $\displaystyle 13$.

To solve $\frac{1}{3}\div13$ $\displaystyle \frac{1}{3}\div13$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{13}=\frac{1}{39}$ $\displaystyle \frac{1}{3}\times\frac{1}{13}=\frac{1}{39}$

1 39

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Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Megan has $\displaystyle 13$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 56$

$\displaystyle 44$

$\displaystyle 52$

$\displaystyle 40$

$\displaystyle 48$

Correct answer:

$\displaystyle 52$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 13$ wholes?

To solve $13\div\frac{1}{4}$ $\displaystyle 13\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{13}{1}\times\frac{4}{1}=\frac{52}{1}=52$ $\displaystyle \frac{13}{1}\times\frac{4}{1}=\frac{52}{1}=52$

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Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Kalea has $\displaystyle 12$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 48$

$\displaystyle 40$

$\displaystyle 56$

$\displaystyle 44$

$\displaystyle 52$

Correct answer:

$\displaystyle 48$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 12$ wholes?

To solve $12\div\frac{1}{4}$ $\displaystyle 12\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{12}{1}\times\frac{4}{1}=\frac{48}{1}=48$ $\displaystyle \frac{12}{1}\times\frac{4}{1}=\frac{48}{1}=48$

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Example Question #4 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Laura has $\displaystyle 11$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 40$

$\displaystyle 56$

$\displaystyle 44$

$\displaystyle 52$

$\displaystyle 48$

Correct answer:

$\displaystyle 44$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 11$ wholes?

To solve $11\div\frac{1}{4}$ $\displaystyle 11\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{11}{1}\times\frac{4}{1}=\frac{44}{1}=44$ $\displaystyle \frac{11}{1}\times\frac{4}{1}=\frac{44}{1}=44$

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Example Question #1251 : Ssat Middle Level Quantitative (Math)

Kara has $\displaystyle 10$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 44$

$\displaystyle 52$

$\displaystyle 56$

$\displaystyle 40$

$\displaystyle 48$

Correct answer:

$\displaystyle 40$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 10$ wholes?

To solve $10\div\frac{1}{4}$ $\displaystyle 10\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{10}{1}\times\frac{4}{1}=\frac{40}{1}=40$ $\displaystyle \frac{10}{1}\times\frac{4}{1}=\frac{40}{1}=40$

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

Katie has $\displaystyle 9$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 24$

$\displaystyle 20$

$\displaystyle 36$

$\displaystyle 32$

$\displaystyle 28$

Correct answer:

$\displaystyle 36$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 9$ wholes?

To solve $9\div\frac{1}{4}$ $\displaystyle 9\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{9}{1}\times\frac{4}{1}=\frac{36}{1}=36$ $\displaystyle \frac{9}{1}\times\frac{4}{1}=\frac{36}{1}=36$

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

Example Question #13 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #561 : Number & Operations With Fractions

Example Question #1251 : Ssat Middle Level Quantitative (Math)

Example Question #1252 : Ssat Middle Level Quantitative (Math)

Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #4 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #1251 : Ssat Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

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