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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 #2 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}12\\ \times 3\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}12\\ \times 3\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 48$

$\displaystyle 60$

$\displaystyle 36$

$\displaystyle 12$

$\displaystyle 24$

Correct answer:

$\displaystyle 36$

Explanation:

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

$12\times3$ $\displaystyle 12\times3$ means adding $\displaystyle 3$ twelve times.

$\displaystyle 3+3+3+3+3+3+3+3+3+3+3+3=36$ and $12\times3=36$ $\displaystyle 12\times3=36$

Or we can think of this as grouping objects. We have $\displaystyle 12$ groups, 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 8.00.16 am

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Example Question #1 : Operations & Algebraic Thinking

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

Possible Answers:

$\displaystyle 36$

$\displaystyle 27$

$\displaystyle 18$

$\displaystyle 1$

$\displaystyle 9$

Correct answer:

$\displaystyle 9$

Explanation:

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

$1\times9$ $\displaystyle 1\times9$ means adding $\displaystyle 9$ one time.

9=9 $\displaystyle 9=9$ and $1\times9=9$ $\displaystyle 1\times9=9$

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.

Screen shot 2015 08 18 at 8.03.43 am

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Example Question #11 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}6\\ \times 4\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}6\\ \times 4\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 24$

$\displaystyle 12$

$\displaystyle 18$

$\displaystyle 16$

$\displaystyle 8$

Correct answer:

$\displaystyle 24$

Explanation:

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

$6\times4$ $\displaystyle 6\times4$ means adding $\displaystyle 4$ six times.

$\displaystyle 4+4+4+4+4+4=24$ and $6\times4=24$ $\displaystyle 6\times4=24$

Or we can think of this as grouping objects. We have $\displaystyle 6$ 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 17 at 9.13.46 pm

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Example Question #113 : How To Multiply

$\frac{\begin{array}[b]{r}1\\ \times 4\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}1\\ \times 4\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 12$

$\displaystyle 4$

$\displaystyle 16$

$\displaystyle 1$

$\displaystyle 8$

Correct answer:

$\displaystyle 4$

Explanation:

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

$1\times4$ $\displaystyle 1\times4$ means adding $\displaystyle 4$ one time.

4=4 $\displaystyle 4=4$ and $1\times4=4$ $\displaystyle 1\times4=4$

Or we can think of this as grouping objects. We have $\displaystyle 1$ group, 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 8.09.43 am

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Example Question #12 : Common Core Math: Grade 3

Solve the following:

$\frac{\begin{array}[b]{r}3\\ \times1 2\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}3\\ \times1 2\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 12$

$\displaystyle 60$

$\displaystyle 24$

$\displaystyle 36$

$\displaystyle 48$

Correct answer:

$\displaystyle 36$

Explanation:

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

$3\times12$ $\displaystyle 3\times12$ means adding $\displaystyle 12$ three times.

$\displaystyle 12+12+12=36$ and $3\times12=36$ $\displaystyle 3\times12=36$

Or we can think of this as grouping objects. We have $\displaystyle 3$ 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 8.21.29 am

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Example Question #115 : How To Multiply

$\frac{\begin{array}[b]{r}4\\ \times 5\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}4\\ \times 5\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 24$

$\displaystyle 16$

$\displaystyle 32$

$\displaystyle 20$

$\displaystyle 28$

Correct answer:

$\displaystyle 20$

Explanation:

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

$4\times5$ $\displaystyle 4\times5$ means adding $\displaystyle 5$ four times.

$\displaystyle 5+5+5+5=20$ and $4\times5=20$ $\displaystyle 4\times5=20$

Or we can think of this as grouping objects. We have $\displaystyle 4$ groups, 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 8.26.03 am

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Example Question #211 : Operations

$\frac{\begin{array}[b]{r}5\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}5\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 15$

$\displaystyle 30$

$\displaystyle 35$

$\displaystyle 20$

$\displaystyle 25$

Correct answer:

$\displaystyle 35$

Explanation:

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

$5\times7$ $\displaystyle 5\times7$ means adding $\displaystyle 7$ five times.

$\displaystyle 7+7+7+7+7=35$ and $5\times7=35$ $\displaystyle 5\times7=35$

Or we can think of this as grouping objects. We have $\displaystyle 5$ 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 8.32.41 am

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Example Question #211 : Numbers And Operations

$\frac{\begin{array}[b]{r}7\\ \times 3\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}7\\ \times 3\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 35$

$\displaystyle 21$

$\displaystyle 14$

$\displaystyle 28$

Correct answer:

$\displaystyle 21$

Explanation:

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

$7\times3$ $\displaystyle 7\times3$ means adding $\displaystyle 3$ seven times.

$\displaystyle 3+3+3+3+3+3+3=21$ and $7\times3=21$ $\displaystyle 7\times3=21$

Or we can think of this as grouping objects. We have $\displaystyle 7$ groups, 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 8.39.21 am

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Example Question #171 : How To Multiply

$\frac{\begin{array}[b]{r}9\\ \times 3\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}9\\ \times 3\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 36$

$\displaystyle 27$

$\displaystyle 45$

$\displaystyle 63$

$\displaystyle 72$

Correct answer:

$\displaystyle 27$

Explanation:

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

$9\times3$ $\displaystyle 9\times3$ means adding $\displaystyle 3$ nine times.

$\displaystyle 3+3+3+3+3+3+3+3+3=27$ and $9\times3=27$ $\displaystyle 9\times3=27$

Or we can think of this as grouping objects. We have $\displaystyle 9$ groups, 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 8.50.36 am

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Example Question #11 : Operations & Algebraic Thinking

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

Possible Answers:

111 $\displaystyle 111$

121 $\displaystyle 121$

$\displaystyle 88$

$\displaystyle 99$

$\displaystyle 77$

Correct answer:

121 $\displaystyle 121$

Explanation:

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

$11\times11$ $\displaystyle 11\times11$ means adding $\displaystyle 11$ eleven times.

$\displaystyle 11+11+11+11+11+11+11+11+11+11+11+=121$ and $11\times11=121$ $\displaystyle 11\times11=121$

Or we can think of this as grouping objects. We have $\displaystyle 11$ 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 9.00.11 am

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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 #2 : Operations & Algebraic Thinking

Example Question #1 : Operations & Algebraic Thinking

Example Question #11 : Common Core Math: Grade 3

Example Question #113 : How To Multiply

Example Question #12 : Common Core Math: Grade 3

Example Question #115 : How To Multiply

Example Question #211 : Operations

Example Question #211 : Numbers And Operations

Example Question #171 : How To Multiply

Example Question #11 : Operations & Algebraic Thinking

All ISEE Lower Level Quantitative Resources

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