SSAT Elementary Level Math : How to divide

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

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Example Questions

Example Question #71 : Operations & Algebraic Thinking

Melissa is making holiday cookies. She made \(\displaystyle 87\) cookies and she's going to put them into small containers to give out to her friends. Each container holds \(\displaystyle 7\) cookies. How many containers can she fill completely? 

 

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 11\)

\(\displaystyle 10\)

\(\displaystyle 8\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 12\)

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are splitting up cookies into containers. We have \(\displaystyle 87\) cookies that we are dividing into containers. Each container holds \(\displaystyle 7\) cookies, so we divide \(\displaystyle 87\) by \(\displaystyle 7\) to find out how many containers we can fill. We will let \(\displaystyle c\) represent the number of containers that we can fill. 

\(\displaystyle 87\div7=c\)

\(\displaystyle \frac{\begin{array}[b]{r} \ 12\\ 7{\overline{\smash{)}87}}\\ -\ 7\smash{\color{Red}\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}1{\color{Red} 7\ \ }\\ -\ \ \ 14\ \ \end{array}}{ \ \ \ \space} }\)

                      \(\displaystyle 3\)

We drop the remainder of \(\displaystyle 3\) because the question asks how many containers we can fill completely. 

Example Question #3471 : Operations

Melissa is making holiday cookies. She made \(\displaystyle 91\) cookies and she's going to put them into small containers to give out to her friends. Each container holds \(\displaystyle 4\) cookies. How many containers can she fill completely? 

 

Possible Answers:

\(\displaystyle 22\)

\(\displaystyle 25\)

\(\displaystyle 24\)

\(\displaystyle 23\)

\(\displaystyle 26\)

Correct answer:

\(\displaystyle 22\)

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are splitting up cookies into containers. We have \(\displaystyle 91\) cookies that we are dividing into containers. Each container holds \(\displaystyle 4\) cookies, so we divide \(\displaystyle 91\) by \(\displaystyle 4\) to find out how many containers we can fill. We will let \(\displaystyle c\) represent the number of containers that we can fill. 

\(\displaystyle 91\div4=c\)

\(\displaystyle \frac{\begin{array}[b]{r} \ 22\\ 4{\overline{\smash{)}91}}\\ -\ 8\smash{\color{Red}\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}1{\color{Red} 1\ \ }\\ -\ \ \ 8\ \ \end{array}}{ \ \ \ \space} }\)

                   \(\displaystyle 3\)

We drop the remainder of \(\displaystyle 3\) because the question asks how many containers we can fill completely. 

Example Question #721 : Operations & Algebraic Thinking

\(\displaystyle 3{\overline{\smash{)}27}}\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 7\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 9\)

Explanation:

\(\displaystyle 3{\overline{\smash{)}27}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 3\) equals \(\displaystyle 27?\)

\(\displaystyle 3\times9=27\) 

 

Example Question #53 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle 3{\overline{\smash{)}30}}\)

 

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 14\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 10\)

Explanation:

\(\displaystyle 3{\overline{\smash{)}30}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 3\) equals \(\displaystyle 30?\)

\(\displaystyle 3\times10=30\) 

Example Question #722 : Common Core Math: Grade 3

\(\displaystyle 3{\overline{\smash{)}24}}\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 5\)

\(\displaystyle 7\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 8\)

Explanation:

\(\displaystyle 3{\overline{\smash{)}24}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 3\) equals \(\displaystyle 24?\)

\(\displaystyle 3\times8=24\) 

Example Question #54 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle 4{\overline{\smash{)}32}}\)

 

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 8\)

Explanation:

\(\displaystyle 4{\overline{\smash{)}32}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 4\) equals \(\displaystyle 32?\)

\(\displaystyle 4\times8=32\) 

Example Question #55 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle 4{\overline{\smash{)}44}}\)

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 14\)

\(\displaystyle 13\)

\(\displaystyle 11\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 11\)

Explanation:

\(\displaystyle 4{\overline{\smash{)}44}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 4\) equals \(\displaystyle 44?\)

\(\displaystyle 4\times11=44\) 

Example Question #56 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle 4{\overline{\smash{)}16}}\)

 

Possible Answers:

\(\displaystyle 0\)

\(\displaystyle 3\)

\(\displaystyle 1\)

\(\displaystyle 2\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 4\)

Explanation:

\(\displaystyle 4{\overline{\smash{)}16}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 4\) equals \(\displaystyle 16?\)

\(\displaystyle 4\times4=16\) 

Example Question #57 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle 4{\overline{\smash{)}24}}\)

 

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 5\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

\(\displaystyle 4{\overline{\smash{)}24}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 4\) equals \(\displaystyle 24?\)

\(\displaystyle 4\times6=24\) 

Example Question #722 : Operations & Algebraic Thinking

\(\displaystyle 2{\overline{\smash{)}16}}\)

 

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 8\)

Explanation:

\(\displaystyle 2{\overline{\smash{)}16}}\)

To solve this division problem, we can think of it as a missing factor problem. 

Think: What times \(\displaystyle 2\) equals \(\displaystyle 16?\)

\(\displaystyle 2\times8=16\) 

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