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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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All ISEE Lower Level Quantitative Resources

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

Example Questions

Example Question #112 : Common Core Math: Grade 3

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

Possible Answers:

$\displaystyle 77$

$\displaystyle 60$

$\displaystyle 40$

$\displaystyle 70$

$\displaystyle 50$

Correct answer:

$\displaystyle 70$

Explanation:

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

$10\times7$ $\displaystyle 10\times7$ means adding $\displaystyle 7$ ten times.

$\displaystyle 7+7+7+7+7+7+7+7+7+7=70$ and $10\times7=70$ $\displaystyle 10\times7=70$

Or we can think of this as grouping objects. We have $\displaystyle 10$ 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 19 at 11.47.40 am

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Example Question #120 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}11\\ \times 12\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}11\\ \times 12\end{array}}{ \ \ \ \space}$

Possible Answers:

110 $\displaystyle 110$

122 $\displaystyle 122$

132 $\displaystyle 132$

121 $\displaystyle 121$

112 $\displaystyle 112$

Correct answer:

132 $\displaystyle 132$

Explanation:

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

$11\times12$ $\displaystyle 11\times12$ means adding $\displaystyle 12$ eleven times.

$\displaystyle 12+12+12+12+12+12+12+12+12+12+12=132$ and $11\times12=132$ $\displaystyle 11\times12=132$

Or we can think of this as grouping objects. We have $\displaystyle 11$ 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 19 at 11.53.51 am

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Example Question #2951 : Ssat Elementary Level Quantitative (Math)

$\frac{\begin{array}[b]{r}1\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}1\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 4$

$\displaystyle 7$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 8$

Correct answer:

$\displaystyle 7$

Explanation:

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

$1\times7$ $\displaystyle 1\times7$ means adding $\displaystyle 7$ one time.

7=7 $\displaystyle 7=7$ and $1\times7=7$ $\displaystyle 1\times7=7$

Or we can think of this as grouping objects. We have $\displaystyle 1$ group, with $\displaystyle 7$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 19 at 11.24.29 am

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Example Question #121 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

$\frac{\begin{array}[b]{r}2\\ \times 1\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}2\\ \times 1\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 2$

$\displaystyle 6$

$\displaystyle 8$

$\displaystyle 4$

$\displaystyle 10$

Correct answer:

$\displaystyle 2$

Explanation:

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

$2\times1$ $\displaystyle 2\times1$ means adding $\displaystyle 1$ two times.

1+1=2 $\displaystyle 1+1=2$ and $2\times1=2$ $\displaystyle 2\times1=2$

Or we can think of this as grouping objects. We have $\displaystyle 2$ 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 19 at 11.26.17 am

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Example Question #121 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}3\\ \times 10\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}3\\ \times 10\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 18$

$\displaystyle 27$

$\displaystyle 21$

$\displaystyle 24$

$\displaystyle 30$

Correct answer:

$\displaystyle 30$

Explanation:

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

$3\times10$ $\displaystyle 3\times10$ means adding $\displaystyle 10$ three times.

$\displaystyle 10+10+10=30$ and $3\times10=30$ $\displaystyle 3\times10=30$

Or we can think of this as grouping objects. We have $\displaystyle 3$ 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 19 at 12.12.40 pm

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Example Question #121 : Representing And Solving Problems Involving Multiplication And Division

$\frac{\begin{array}[b]{r}4\\ \times 12\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}4\\ \times 12\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 36$

$\displaystyle 44$

$\displaystyle 48$

$\displaystyle 32$

$\displaystyle 40$

Correct answer:

$\displaystyle 48$

Explanation:

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

$4\times12$ $\displaystyle 4\times12$ means adding $\displaystyle 12$ four times.

$\displaystyle 12+12+12+12=48$ and $4\times12=48$ $\displaystyle 4\times12=48$

Or we can think of this as grouping objects. We have $\displaystyle 4$ 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 19 at 12.15.22 pm

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Example Question #321 : Numbers And Operations

$\frac{\begin{array}[b]{r}5\\ \times 11\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}5\\ \times 11\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 60$

$\displaystyle 50$

$\displaystyle 40$

$\displaystyle 55$

$\displaystyle 45$

Correct answer:

$\displaystyle 55$

Explanation:

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

$5\times11$ $\displaystyle 5\times11$ means adding $\displaystyle 11$ five times.

$\displaystyle 11+11+11+11+11=55$ and $5\times11=55$ $\displaystyle 5\times11=55$

Or we can think of this as grouping objects. We have $\displaystyle 5$ 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 19 at 12.16.34 pm

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Example Question #122 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}7\\ \times 11\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}7\\ \times 11\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 35$

$\displaystyle 28$

$\displaystyle 70$

$\displaystyle 77$

$\displaystyle 42$

Correct answer:

$\displaystyle 77$

Explanation:

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

$7\times11$ $\displaystyle 7\times11$ means adding $\displaystyle 11$ seven times.

$\displaystyle 11+11+11+11+11+11+11=77$ and $7\times11=77$ $\displaystyle 7\times11=77$

Or we can think of this as grouping objects. We have $\displaystyle 7$ 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 19 at 12.26.08 pm

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Example Question #282 : How To Multiply

$\frac{\begin{array}[b]{r}8\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}8\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 56$

$\displaystyle 80$

$\displaystyle 64$

$\displaystyle 88$

$\displaystyle 72$

Correct answer:

$\displaystyle 56$

Explanation:

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

$8\times7$ $\displaystyle 8\times7$ means adding $\displaystyle 7$ eight times.

$\displaystyle 7+7+7+7+7+7+7+7=56$ and $7\times8=56$ $\displaystyle 7\times8=56$

Or we can think of this as grouping objects. We have $\displaystyle 8$ 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 19 at 12.18.55 pm

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Example Question #124 : Representing And Solving Problems Involving Multiplication And Division

$\frac{\begin{array}[b]{r}9\\ \times 11\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}9\\ \times 11\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 81$

$\displaystyle 99$

$\displaystyle 63$

$\displaystyle 72$

$\displaystyle 90$

Correct answer:

$\displaystyle 99$

Explanation:

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

$9\times11$ $\displaystyle 9\times11$ means adding $\displaystyle 11$ nine times.

$\displaystyle 11+11+11+11+11+11+11+11+11=99$ and $9\times11=99$ $\displaystyle 9\times11=99$

Or we can think of this as grouping objects. We have $\displaystyle 9$ 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 19 at 12.26.49 pm

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All ISEE Lower Level Quantitative Resources

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

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

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #112 : Common Core Math: Grade 3

Example Question #120 : Operations & Algebraic Thinking

Example Question #2951 : Ssat Elementary Level Quantitative (Math)

Example Question #121 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

Example Question #121 : Common Core Math: Grade 3

Example Question #121 : Representing And Solving Problems Involving Multiplication And Division

Example Question #321 : Numbers And Operations

Example Question #122 : Common Core Math: Grade 3

Example Question #282 : How To Multiply

Example Question #124 : Representing And Solving Problems Involving Multiplication And Division

All ISEE Lower Level Quantitative Resources

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