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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

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Example Questions

Example Question #561 : Number & Operations With Fractions

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:

$\frac{1}{11}lb$

$\frac{11}{3}lb$

$\frac{3}{11}lb$

$\frac{1}{33}lb$

$\frac{1}{30}lb$

Correct answer:

$\frac{1}{33}lb$

Explanation:

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

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

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

1 33

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Example Question #111 : Fractions

Drew 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:

$\frac{1}{12}lb$

$\frac{3}{12}lb$

$\frac{12}{3}lb$

$\frac{1}{36}lb$

$\frac{1}{48}lb$

Correct answer:

$\frac{1}{36}lb$

Explanation:

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

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

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

1 36

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

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:

$\frac{1}{13}lb$

$\frac{1}{40}lb$

$\frac{1}{29}lb$

$\frac{13}{3}lb$

$\frac{1}{39}lb$

Correct answer:

$\frac{1}{39}lb$

Explanation:

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

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

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

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #3 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #112 : Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #1431 : Common Core Math: Grade 5

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #1432 : Common Core Math: Grade 5

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

Possible Answers:

Correct answer:

Explanation:

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

To solve $8\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{8}{1}\times\frac{4}{1}=\frac{32}{1}=32$

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Example Question #1261 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

Correct answer:

Explanation:

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

To solve $7\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{7}{1}\times\frac{4}{1}=\frac{28}{1}=28$

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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 #561 : Number & Operations With Fractions

Example Question #111 : Fractions

Example Question #1251 : 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 #3 : 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 #112 : Fractions

Example Question #1431 : Common Core Math: Grade 5

Example Question #1432 : Common Core Math: Grade 5

Example Question #1261 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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