SSAT Middle Level Math : Numbers and Operations

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

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Example Questions

Example Question #6 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Sara is having her family over for a cookout. If each person at the cookout will eat \displaystyle \frac{2}{4} of a pound of hamburger, and there will be \displaystyle 7 people at the cookout, how many pounds of hamburger will Sara need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 7 and \displaystyle 8

\displaystyle 3 and \displaystyle 4

\displaystyle 5 and \displaystyle 6

\displaystyle 2 and \displaystyle 3

\displaystyle 6 and \displaystyle 7

Correct answer:

\displaystyle 3 and \displaystyle 4

Explanation:

\displaystyle \frac{7}{1}\times\frac{2}{4}=\frac{14}{4}

\displaystyle \frac{14}{4}=3\frac{2}{4} because \displaystyle 4 can go into \displaystyle 14 three times, with \displaystyle 2 left over. 

 

\displaystyle 3\frac{2}{4} is between the whole numbers \displaystyle 3 and \displaystyle 4

Example Question #7 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Linda is having her friends over for a game night. If each person at the game night will drink \displaystyle \frac{1}{5} of a liter of soda, and there will be \displaystyle 17 people at the game night, how many liters of soda will Linda need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 7 and \displaystyle 8

\displaystyle 3 and \displaystyle 4

\displaystyle 4 and \displaystyle 5

\displaystyle 5 and \displaystyle 6

\displaystyle 6 and \displaystyle 7

Correct answer:

\displaystyle 3 and \displaystyle 4

Explanation:

\displaystyle \frac{17}{1}\times\frac{1}{5}=\frac{17}{5}

\displaystyle \frac{17}{5}=3\frac{2}{5} because \displaystyle 5 can go into \displaystyle 17 three times, with \displaystyle 2 left over. 

 

\displaystyle 3\frac{2}{5} is between the whole numbers \displaystyle 3 and \displaystyle 4

Example Question #1 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Linda is having her friends over for a game night. If each person at the game night will drink \displaystyle \frac{2}{5} of a liter of soda, and there will be \displaystyle 6 people at the game night, how many liters of soda will Linda need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 4 and \displaystyle 5

\displaystyle 3 and \displaystyle 4

\displaystyle 2 and \displaystyle 3

\displaystyle 5 and \displaystyle 6

\displaystyle 1 and \displaystyle 2

Correct answer:

\displaystyle 2 and \displaystyle 3

Explanation:

\displaystyle \frac{6}{1}\times\frac{2}{5}=\frac{12}{5}

\displaystyle \frac{12}{5}=2\frac{2}{5} because \displaystyle 5 can go into \displaystyle 12 two times, with \displaystyle 2 left over. 

 

\displaystyle 2\frac{2}{5} is between the whole numbers \displaystyle 2 and \displaystyle 3

Example Question #10 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

David is packing for a camping trip with his friends. If each person on the camping trip will roast \displaystyle \frac{2}{6} of a bag of marshmallows, and there will be \displaystyle 11 people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 1 and \displaystyle 2

\displaystyle 3 and \displaystyle 4

\displaystyle 2 and \displaystyle 3

\displaystyle 5 and \displaystyle 6

\displaystyle 4 and \displaystyle 5

Correct answer:

\displaystyle 3 and \displaystyle 4

Explanation:

\displaystyle \frac{11}{1}\times\frac{2}{6}=\frac{22}{6}

\displaystyle \frac{22}{6}=3\frac{4}{6} because \displaystyle 6 can go into \displaystyle 22 three times, with \displaystyle 4 left over. 

 

\displaystyle 3\frac{4}{6} is between the whole numbers \displaystyle 3 and \displaystyle 4

Example Question #11 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

David is packing for a camping trip with his friends. If each person on the camping trip will roast \displaystyle \frac{1}{6} of a bag of marshmallows, and there will be \displaystyle 13 people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between. 

 

 

Possible Answers:

\displaystyle 3 and \displaystyle 4

\displaystyle 6 and \displaystyle 7

\displaystyle 5 and \displaystyle 6

\displaystyle 2 and \displaystyle 3

\displaystyle 4 and \displaystyle 5

Correct answer:

\displaystyle 2 and \displaystyle 3

Explanation:

\displaystyle \frac{13}{1}\times\frac{1}{6}=\frac{13}{6}

\displaystyle \frac{13}{6}=2\frac{1}{6} because \displaystyle 6 can go into \displaystyle 13 two times, with \displaystyle 1 left over. 

 

\displaystyle 2\frac{1}{6} is between the whole numbers \displaystyle 2 and \displaystyle 3

Example Question #12 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

David is packing for a camping trip with his friends. If each person on the camping trip will roast \displaystyle \frac{4}{6} of a bag of marshmallows, and there will be \displaystyle 8 people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between. 

 

 

Possible Answers:

\displaystyle 3 and \displaystyle 4

\displaystyle 2 and \displaystyle 3

\displaystyle 1 and \displaystyle 2

\displaystyle 4 and \displaystyle 5

\displaystyle 5 and \displaystyle 6

Correct answer:

\displaystyle 5 and \displaystyle 6

Explanation:

\displaystyle \frac{8}{1}\times\frac{4}{6}=\frac{32}{6}

\displaystyle \frac{32}{6}=5\frac{2}{6} because \displaystyle 6 can go into \displaystyle 32 five times, with \displaystyle 2 left over. 

 

\displaystyle 5\frac{2}{6} is between the whole numbers \displaystyle 5 and \displaystyle 6

Example Question #224 : How To Multiply Fractions

Andy is having a party. If each person at a party will eat \displaystyle \frac{2}{7} of a pound of peanuts, and there will be \displaystyle 5 people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 2 and \displaystyle 3

\displaystyle 5 and \displaystyle 6

\displaystyle 4 and \displaystyle 5

\displaystyle 1 and \displaystyle 2

\displaystyle 3 and \displaystyle 4

Correct answer:

\displaystyle 1 and \displaystyle 2

Explanation:

\displaystyle \frac{5}{1}\times\frac{2}{7}=\frac{10}{7}

\displaystyle \frac{10}{7}=1\frac{3}{7} because \displaystyle 7 can go into \displaystyle 10 one time, with \displaystyle 3 left over. 

 

\displaystyle 1\frac{3}{7} is between the whole numbers \displaystyle 1 and \displaystyle 2

Example Question #13 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Andy is having a party. If each person at a party will eat \displaystyle \frac{4}{7} of a pound of peanuts, and there will be \displaystyle 6 people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 6 and \displaystyle 7

\displaystyle 5 and \displaystyle 6

\displaystyle 2 and \displaystyle 3

\displaystyle 4 and \displaystyle 5

\displaystyle 3 and \displaystyle 4

Correct answer:

\displaystyle 3 and \displaystyle 4

Explanation:

\displaystyle \frac{6}{1}\times\frac{4}{7}=\frac{24}{7}

\displaystyle \frac{24}{7}=3\frac{3}{7} because \displaystyle 7 can go into \displaystyle 24 three times, with \displaystyle 3 left over. 

 

\displaystyle 3\frac{3}{7} is between the whole numbers \displaystyle 3 and \displaystyle 4

Example Question #14 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Andy is having a party. If each person at a party will eat \displaystyle \frac{5}{7} of a pound of peanuts, and there will be \displaystyle 6 people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 5 and \displaystyle 6

\displaystyle 4 and \displaystyle 5

\displaystyle 2 and \displaystyle 3

\displaystyle 3 and \displaystyle 4

\displaystyle 1 and \displaystyle 2

Correct answer:

\displaystyle 4 and \displaystyle 5

Explanation:

\displaystyle \frac{6}{1}\times\frac{5}{7}=\frac{30}{7}

\displaystyle \frac{30}{7}=4\frac{2}{7} because \displaystyle 7 can go into \displaystyle 30 four times, with \displaystyle 2 left over. 

 

\displaystyle 4\frac{2}{7} is between the whole numbers \displaystyle 4 and \displaystyle 5

Example Question #15 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Sara is having her family over for a cookout. If each person at the cookout will eat \displaystyle \frac{2}{9} of a pound of hamburger, and there will be \displaystyle 10 people at the cookout, how many pounds of hamburger will Sara need? Select the choice with the whole numbers that your answer will be between. 

 

Possible Answers:

\displaystyle 5 and \displaystyle 6

\displaystyle 4 and \displaystyle 5

\displaystyle 1 and \displaystyle 2

\displaystyle 3 and \displaystyle 4

\displaystyle 2 and \displaystyle 3

Correct answer:

\displaystyle 2 and \displaystyle 3

Explanation:

\displaystyle \frac{10}{1}\times\frac{2}{9}=\frac{20}{9}

\displaystyle \frac{20}{9}=2\frac{2}{9} because \displaystyle 9 can go into \displaystyle 20 two times, with \displaystyle 2 left over. 

 

\displaystyle 2\frac{2}{9} is between the whole numbers \displaystyle 2 and \displaystyle 3

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