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 #70 : Representing And Solving Problems Involving Multiplication And Division

\(\displaystyle \frac{\begin{array}[b]{r}5\\ \times 9\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 25\)

\(\displaystyle 30\)

\(\displaystyle 40\)

\(\displaystyle 35\)

\(\displaystyle 45\)

Correct answer:

\(\displaystyle 45\)

Explanation:

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

\(\displaystyle 5\times9\) means adding \(\displaystyle 9\) five times. 

\(\displaystyle 9+9+9+9+9=45\) and \(\displaystyle 5\times9=45\)

Or we can think of this as grouping objects. We have \(\displaystyle 5\) groups, with \(\displaystyle 9\) objects in each group. We can count up the total number of objects, in this case triangles.

 

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Example Question #71 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}6\\ \times 12\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 72\)

\(\displaystyle 60\)

\(\displaystyle 66\)

\(\displaystyle 54\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 72\)

Explanation:

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

\(\displaystyle 6\times12\) means adding \(\displaystyle 12\) six times. 

\(\displaystyle 12+12+12+12+12+12=72\) and \(\displaystyle 6\times8=12\)

Or we can think of this as grouping objects. We have \(\displaystyle 6\) 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 #72 : Common Core Math: Grade 3

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

 

Possible Answers:

\(\displaystyle 48\)

\(\displaystyle 40\)

\(\displaystyle 64\)

\(\displaystyle 72\)

\(\displaystyle 56\)

Correct answer:

\(\displaystyle 64\)

Explanation:

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

\(\displaystyle 8\times8\) means adding \(\displaystyle 8\) eight times. 

\(\displaystyle 8+8+8+8+8+8+8+8=64\) and \(\displaystyle 8\times8=64\)

Or we can think of this as grouping objects. We have \(\displaystyle 8\) groups, 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 #73 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}9\\ \times 6\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 72\)

\(\displaystyle 36\)

\(\displaystyle 54\)

\(\displaystyle 63\)

Correct answer:

\(\displaystyle 54\)

Explanation:

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

\(\displaystyle 9\times6\) means adding \(\displaystyle 6\) nine times. 

\(\displaystyle 6+6+6+6+6+6+6+6+6=54\) and \(\displaystyle 9\times6=54\)

Or we can think of this as grouping objects. We have \(\displaystyle 9\) 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 #71 : Representing And Solving Problems Involving Multiplication And Division

\(\displaystyle \frac{\begin{array}[b]{r}10\\ \times 11\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 111\)

\(\displaystyle 110\)

\(\displaystyle 99\)

\(\displaystyle 100\)

\(\displaystyle 88\)

Correct answer:

\(\displaystyle 110\)

Explanation:

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

\(\displaystyle 10\times11\) means adding \(\displaystyle 11\) ten times. 

\(\displaystyle 11+11+11+11+11+11+11+11+11+11=110\) and \(\displaystyle 10\times11=110\)

Or we can think of this as grouping objects. We have \(\displaystyle 10\) groups, with \(\displaystyle 11\) objects in each group. We can count up the total number of objects, in this case triangles. 

Screen shot 2015 08 18 at 4.02.09 pm

Example Question #75 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}11\\ \times 4\end{array}}{ \ \ \ \space}\)

 

 

Possible Answers:

\(\displaystyle 33\)

\(\displaystyle 11\)

\(\displaystyle 44\)

\(\displaystyle 55\)

\(\displaystyle 22\)

Correct answer:

\(\displaystyle 44\)

Explanation:

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

\(\displaystyle 11\times4\) means adding \(\displaystyle 4\) eleven times. 

\(\displaystyle 4+4+4+4+4+4+4+4+4+4+4=44\) and \(\displaystyle 11\times4=44\)

Or we can think of this as grouping objects. We have \(\displaystyle 11\) 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 4.07.54 pm

Example Question #72 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}12\\ \times 1\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle 60\)

\(\displaystyle 12\)

 

\(\displaystyle 36\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 12\)

 

Explanation:

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

\(\displaystyle 12\times1\) means adding \(\displaystyle 1\) twelve times. 

\(\displaystyle 1+1+1+1+1+1+1+1+1+1+1+1=12\) and \(\displaystyle 12\times1=12\)

Or we can think of this as grouping objects. We have \(\displaystyle 12\) 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 #73 : Common Core Math: Grade 3

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

 

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 11\)

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

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

\(\displaystyle 1\times9\) means adding \(\displaystyle 9\) one time. 

\(\displaystyle 9=9\) and \(\displaystyle 1\times9=9\)

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

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Example Question #74 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}1\\ \times 5\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 5\)

Explanation:

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

\(\displaystyle 1\times5\) means adding \(\displaystyle 5\) one time. 

\(\displaystyle 5=5\) and \(\displaystyle 1\times5=5\)

Or we can think of this as grouping objects. We have \(\displaystyle 1\) group, with \(\displaystyle 5\) objects in each group. We can count up the total number of objects, in this case triangles. Screen shot 2015 08 18 at 4.39.19 pm

Example Question #79 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}2\\ \times 9\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 22\)

\(\displaystyle 20\)

\(\displaystyle 16\)

\(\displaystyle 14\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 18\)

Explanation:

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

\(\displaystyle 2\times9\) means adding \(\displaystyle 9\) two times. 

\(\displaystyle 9+9=18\) and \(\displaystyle 2\times9=18\)

Or we can think of this as grouping objects. We have \(\displaystyle 2\) groups, with \(\displaystyle 9\) objects in each group. We can count up the total number of objects, in this case triangles. 

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