ISEE Lower Level Quantitative : How to multiply

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #12 : Representing And Solving Problems Involving Multiplication And Division

\(\displaystyle \frac{\begin{array}[b]{r}6\\ \times 2\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 36\)

\(\displaystyle 12\)

\(\displaystyle 30\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 12\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 6\times2\) means adding \(\displaystyle 2\) six times. 

\(\displaystyle 2+2+2+2+2+2=12\) and \(\displaystyle 6\times2=12\)

Or we can think of this as grouping objects. We have \(\displaystyle 6\) groups, with \(\displaystyle 2\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #171 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}2\\ \times 10\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 10\)

\(\displaystyle 20\)

\(\displaystyle 30\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 20\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 2\times10\) means adding \(\displaystyle 10\) two times. 

\(\displaystyle 10+10=20\) and \(\displaystyle 2\times10=20\)

Or we can think of this as grouping objects. We have \(\displaystyle 2\) groups, with \(\displaystyle 10\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #172 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}1\\ \times 8\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 24\)

\(\displaystyle 8\)

\(\displaystyle 40\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 8\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 1\times8\) means adding \(\displaystyle 8\) one times. 

\(\displaystyle 8=8\) and \(\displaystyle 1\times8=8\)

Or we can think of this as grouping objects. We have \(\displaystyle 1\) group, with \(\displaystyle 8\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #173 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}3\\ \times 2\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 6\)

\(\displaystyle 12\)

\(\displaystyle 9\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 6\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 3\times2\) means adding \(\displaystyle 2\) three times. 

\(\displaystyle 2+2+2=6\) and \(\displaystyle 3\times2=6\)

Or we can think of this as grouping objects. We have \(\displaystyle 3\) groups, with \(\displaystyle 2\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #174 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}4\\ \times 4\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 24\)

\(\displaystyle 28\)

\(\displaystyle 16\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 16\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 4\times4\) means adding \(\displaystyle 4\) four times. 

\(\displaystyle 4+4+4+4=16\) and \(\displaystyle 4\times4=16\)

Or we can think of this as grouping objects. We have \(\displaystyle 4\) groups, with \(\displaystyle 4\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #21 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}6\\ \times 7\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 24\)

\(\displaystyle 30\)

\(\displaystyle 36\)

\(\displaystyle 42\)

Correct answer:

\(\displaystyle 42\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 6\times7\) means adding \(\displaystyle 7\) six times. 

\(\displaystyle 7+7+7+7+7+7=42\) and \(\displaystyle 6\times7=42\)

Or we can think of this as grouping objects. We have \(\displaystyle 6\) groups, with \(\displaystyle 7\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #182 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}7\\ \times1 2\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 70\)

\(\displaystyle 63\)

\(\displaystyle 56\)

\(\displaystyle 84\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 84\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 7\times12\) means adding \(\displaystyle 12\) seven times. 

\(\displaystyle 12+12+12+12+12+12+12=84\) and \(\displaystyle 7\times12=84\)

Or we can think of this as grouping objects. We have \(\displaystyle 7\) groups, with \(\displaystyle 12\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #183 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}8\\ \times 6\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 40\)

\(\displaystyle 32\)

\(\displaystyle 56\)

\(\displaystyle 64\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 48\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 8\times6\) means adding \(\displaystyle 6\) eight times. 

\(\displaystyle 6+6+6+6+6+6+6+6=48\) and \(\displaystyle 8\times6=48\)

Or we can think of this as grouping objects. We have \(\displaystyle 8\) groups, with \(\displaystyle 6\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #184 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}9\\ \times 1\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 9\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 9\times1\) means adding \(\displaystyle 1\) nine times. 

\(\displaystyle 1+1+1+1+1+1+1+1+1=9\) and \(\displaystyle 9\times1=9\)

Or we can think of this as grouping objects. We have \(\displaystyle 9\) groups, with \(\displaystyle 1\) object in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #29 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}10\\ \times 4\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 40\)

\(\displaystyle 10\)

\(\displaystyle 20\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 40\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 10\times4\) means adding \(\displaystyle 4\) ten times. 

\(\displaystyle 4+4+4+4+4+4+4+4+4+4=40\) and \(\displaystyle 10\times4=40\)

Or we can think of this as grouping objects. We have \(\displaystyle 10\) groups, with \(\displaystyle 4\) objects in each group. We can count up the total number of objects, in this case triangles. 

Screen shot 2015 08 18 at 9.56.52 am

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