ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

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Example Questions

Example Question #71 : Gain Familiarity With Factors And Multiples

Which answer below provides a factor of \(\displaystyle 12?\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 4\)

\(\displaystyle 11\)

\(\displaystyle 5\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 4\)

Explanation:

A factor is a number that can be evenly divided into a given number, or a number when multiplied  by another number equals the given number. 

\(\displaystyle 12\div4=3\)

or

\(\displaystyle 4\times3=12\)

Example Question #72 : Gain Familiarity With Factors And Multiples

Which answer below provides a factor of \(\displaystyle 8?\)

 

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 16\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 2\)

Explanation:

A factor is a number that can be evenly divided into a given number, or a number when multiplied  by another number equals the given number. 

\(\displaystyle 8\div2=4\)

or

\(\displaystyle 2\times4=8\)

Example Question #201 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 12\)

\(\displaystyle 10\)

\(\displaystyle 8\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 4\)

Explanation:

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

\(\displaystyle 2\times2\) means adding \(\displaystyle 2\) two times. 

\(\displaystyle 2+2=4\) and \(\displaystyle 2\times2=4\)

Or we can think of this as grouping objects. We have \(\displaystyle 2\) 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 #1 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}3\\ \times 6\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 18\)

\(\displaystyle 21\)

\(\displaystyle 12\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 18\)

Explanation:

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

\(\displaystyle 3\times6\) means adding \(\displaystyle 6\) three times. 

\(\displaystyle 6+6+6=18\) and \(\displaystyle 3\times6=18\)

Or we can think of this as grouping objects. We have \(\displaystyle 3\) 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 #1 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}5\\ \times 3\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 15\)

\(\displaystyle 25\)

\(\displaystyle 5\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 15\)

Explanation:

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

\(\displaystyle 5\times3\) means adding \(\displaystyle 3\) five times. 

\(\displaystyle 3+3+3+3+3=15\) and \(\displaystyle 5\times3=15\)

Or we can think of this as grouping objects. We have \(\displaystyle 5\) groups, with \(\displaystyle 3\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #2 : Operations & Algebraic Thinking

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

 

Possible Answers:

\(\displaystyle 42\)

\(\displaystyle 21\)

\(\displaystyle 35\)

\(\displaystyle 49\)

\(\displaystyle 28\)

Correct answer:

\(\displaystyle 49\)

Explanation:

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

\(\displaystyle 7\times7\) means adding \(\displaystyle 7\) seven times. 

\(\displaystyle 7+7+7+7+7+7+7=49\) and \(\displaystyle 7\times7=49\)

Or we can think of this as grouping objects. We have \(\displaystyle 7\) 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 #2 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}8\\ \times 9\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 64\)

\(\displaystyle 56\)

\(\displaystyle 48\)

\(\displaystyle 80\)

\(\displaystyle 72\)

Correct answer:

\(\displaystyle 72\)

Explanation:

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

\(\displaystyle 8\times9\) means adding \(\displaystyle 9\) eight times. 

\(\displaystyle 9+9+9+9+9+9+9+9=72\) and \(\displaystyle 8\times9=72\)

Or we can think of this as grouping objects. We have \(\displaystyle 8\) 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 #202 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\(\displaystyle \frac{\begin{array}[b]{r}9\\ \times 10\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 81\)

\(\displaystyle 90\)

\(\displaystyle 54\)

\(\displaystyle 63\)

\(\displaystyle 72\)

Correct answer:

\(\displaystyle 90\)

Explanation:

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

\(\displaystyle 9\times10\) means adding \(\displaystyle 10\) nine times. 

\(\displaystyle 10+10+10+10+10+10+10+10+10=90\) and \(\displaystyle 9\times10=90\)

Or we can think of this as grouping objects. We have \(\displaystyle 9\) groups, with \(\displaystyle 10\) objects in each group. We can count up the total number of objects, in this case triangles. Screen shot 2015 08 18 at 7.36.32 am

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

\(\displaystyle \frac{\begin{array}[b]{r}10\\ \times 1\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 40\)

\(\displaystyle 20\)

\(\displaystyle 10\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 10\)

Explanation:

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

\(\displaystyle 10\times1\) means adding \(\displaystyle 1\) ten times. 

\(\displaystyle 1+1+1+1+1+1+1+1+1+1=10\) and \(\displaystyle 10\times1=10\)

Or we can think of this as grouping objects. We have \(\displaystyle 10\) groups, with \(\displaystyle 1\) object in each group. We can count up the total number of objects, in this case triangles. Screen shot 2015 08 18 at 7.41.41 am

Example Question #5 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}11\\ \times 2\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 44\)

\(\displaystyle 55\)

\(\displaystyle 33\)

\(\displaystyle 11\)

\(\displaystyle 22\)

Correct answer:

\(\displaystyle 22\)

Explanation:

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

\(\displaystyle 11\times2\) means adding \(\displaystyle 2\) eleven times. 

\(\displaystyle 2+2+2+2+2+2+2+2+2+2+2=22\) and \(\displaystyle 11\times2=22\)

Or we can think of this as grouping objects. We have \(\displaystyle 11\) groups, with \(\displaystyle 2\) objects in each group. We can count up the total number of objects, in this case triangles. Screen shot 2015 08 18 at 7.51.17 am

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