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ISEE Lower Level Quantitative : Numbers and Operations

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #45 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}7\\ \times 10\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}7\\ \times 10\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 56$

$\displaystyle 49$

$\displaystyle 63$

$\displaystyle 77$

$\displaystyle 70$

Correct answer:

$\displaystyle 70$

Explanation:

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

$7\times10$ $\displaystyle 7\times10$ means adding $\displaystyle 10$ seven times.

$\displaystyle 10+10+10+10+10+10+10=70$ and $7\times10=70$ $\displaystyle 7\times10=70$

Or we can think of this as grouping objects. We have $\displaystyle 7$ 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 11.36.23 am

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Example Question #202 : How To Multiply

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

Possible Answers:

$\displaystyle 8$

$\displaystyle 16$

$\displaystyle 32$

$\displaystyle 24$

$\displaystyle 40$

Correct answer:

$\displaystyle 8$

Explanation:

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

$8\times1$ $\displaystyle 8\times1$ means adding $\displaystyle 1$ eight times.

$\displaystyle 1+1+1+1+1+1+1+1=8$ and $8\times1=8$ $\displaystyle 8\times1=8$

Or we can think of this as grouping objects. We have $\displaystyle 8$ 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 11.39.04 am

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Example Question #51 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}9\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}9\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 54$

$\displaystyle 45$

$\displaystyle 72$

$\displaystyle 81$

$\displaystyle 63$

Correct answer:

$\displaystyle 63$

Explanation:

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

$9\times7$ $\displaystyle 9\times7$ means adding $\displaystyle 7$ nine times.

$\displaystyle 7+7+7+7+7+7+7+7+7=63$ and $9\times7=63$ $\displaystyle 9\times7=63$

Or we can think of this as grouping objects. We have $\displaystyle 9$ groups, with $\displaystyle 7$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.44.06 am

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Example Question #201 : How To Multiply

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

Possible Answers:

$\displaystyle 50$

$\displaystyle 70$

$\displaystyle 80$

$\displaystyle 60$

$\displaystyle 90$

Correct answer:

$\displaystyle 90$

Explanation:

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

$10\times9$ $\displaystyle 10\times9$ means adding $\displaystyle 9$ ten times.

$\displaystyle 9+9+9+9+9+9+9+9+9+9=90$ and $10\times9=90$ $\displaystyle 10\times9=90$

Or we can think of this as grouping objects. We have $\displaystyle 10$ groups, with $\displaystyle 9$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.48.27 am

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Example Question #52 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}11\\ \times 8\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}11\\ \times 8\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 77$

$\displaystyle 66$

$\displaystyle 55$

$\displaystyle 99$

$\displaystyle 88$

Correct answer:

$\displaystyle 88$

Explanation:

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

$11\times8$ $\displaystyle 11\times8$ means adding $\displaystyle 8$ eleven times.

$\displaystyle 8+8+8+8+8+8+8+8+8+8+8=88$ and $11\times8=88$ $\displaystyle 11\times8=88$

Or we can think of this as grouping objects. We have $\displaystyle 11$ groups, with $\displaystyle 8$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.52.01 am

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Example Question #53 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}12\\ \times 12\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}12\\ \times 12\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 96$

144 $\displaystyle 144$

108 $\displaystyle 108$

120 $\displaystyle 120$

132 $\displaystyle 132$

Correct answer:

144 $\displaystyle 144$

Explanation:

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

$12\times12$ $\displaystyle 12\times12$ means adding $\displaystyle 12$ twelve times.

$\displaystyle 12+12+12+12+12+12+12+12+12+12+12+12=144$ and $12\times12=144$ $\displaystyle 12\times12=144$

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

Screen shot 2015 08 18 at 11.58.44 am

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Example Question #54 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}1\\ \times 3\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}1\\ \times 3\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 5$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 4$

Correct answer:

$\displaystyle 3$

Explanation:

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

$1\times3$ $\displaystyle 1\times3$ means adding $\displaystyle 3$ one time.

3=3 $\displaystyle 3=3$ and $1\times3=3$ $\displaystyle 1\times3=3$

Or we can think of this as grouping objects. We have $\displaystyle 1$ group, with $\displaystyle 3$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 2.28.13 pm

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Example Question #51 : Representing And Solving Problems Involving Multiplication And Division

$\frac{\begin{array}[b]{r}4\\ \times 8\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}4\\ \times 8\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 16$

$\displaystyle 24$

$\displaystyle 32$

$\displaystyle 28$

$\displaystyle 20$

Correct answer:

$\displaystyle 32$

Explanation:

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

$4\times8$ $\displaystyle 4\times8$ means adding $\displaystyle 8$ four times.

$\displaystyle 8+8+8+8=32$ and $4\times8=32$ $\displaystyle 4\times8=32$

Or we can think of this as grouping objects. We have $\displaystyle 4$ groups, with $\displaystyle 8$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 2.45.22 pm

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Example Question #57 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}5\\ \times 12\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}5\\ \times 12\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 60$

$\displaystyle 50$

$\displaystyle 45$

$\displaystyle 55$

Correct answer:

$\displaystyle 60$

Explanation:

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

$5\times12$ $\displaystyle 5\times12$ means adding $\displaystyle 12$ five times.

$\displaystyle 12+12+12+12+12=60$ and $5\times12=60$ $\displaystyle 5\times12=60$

Or we can think of this as grouping objects. We have $\displaystyle 5$ groups, with $\displaystyle 12$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 2.49.09 pm

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Example Question #56 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}6\\ \times 11\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}6\\ \times 11\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 88$

$\displaystyle 77$

$\displaystyle 99$

$\displaystyle 66$

110 $\displaystyle 110$

Correct answer:

$\displaystyle 66$

Explanation:

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

$6\times11$ $\displaystyle 6\times11$ means adding $\displaystyle 11$ six times.

$\displaystyle 11+11+11+11+11+11=66$ and $6\times11=66$ $\displaystyle 6\times11=66$

Or we can think of this as grouping objects. We have $\displaystyle 6$ 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 2.52.24 pm

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Numbers and Operations

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #45 : Common Core Math: Grade 3

Example Question #202 : How To Multiply

Example Question #51 : Operations & Algebraic Thinking

Example Question #201 : How To Multiply

Example Question #52 : Operations & Algebraic Thinking

Example Question #53 : Operations & Algebraic Thinking

Example Question #54 : Operations & Algebraic Thinking

Example Question #51 : Representing And Solving Problems Involving Multiplication And Division

Example Question #57 : Operations & Algebraic Thinking

Example Question #56 : Operations & Algebraic Thinking

All ISEE Lower Level Quantitative Resources

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