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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 #331 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

$\frac{\begin{array}[b]{r}10\\ \times 12\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}10\\ \times 12\end{array}}{ \ \ \ \space}$

Possible Answers:

120 $\displaystyle 120$

100 $\displaystyle 100$

110 $\displaystyle 110$

$\displaystyle 80$

$\displaystyle 90$

Correct answer:

120 $\displaystyle 120$

Explanation:

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

$10\times12$ $\displaystyle 10\times12$ means adding $\displaystyle 12$ ten times.

$\displaystyle 12+12+12+12+12+12+12+12+12+12=120$ and $10\times12=120$ $\displaystyle 10\times12=120$

Or we can think of this as grouping objects. We have $\displaystyle 10$ 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 12.28.54 pm

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Example Question #231 : How To Multiply

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

Possible Answers:

110 $\displaystyle 110$

$\displaystyle 77$

$\displaystyle 99$

121 $\displaystyle 121$

$\displaystyle 88$

Correct answer:

110 $\displaystyle 110$

Explanation:

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

$11\times10$ $\displaystyle 11\times10$ means adding $\displaystyle 10$ eleven times.

$\displaystyle 10+10+10+10+10+10+10+10+10+10+10=110$ and $11\times10=110$ $\displaystyle 11\times10=110$

Or we can think of this as grouping objects. We have $\displaystyle 11$ 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 12.31.52 pm

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Example Question #131 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}12\\ \times 9\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}12\\ \times 9\end{array}}{ \ \ \ \space}$

Possible Answers:

120 $\displaystyle 120$

144 $\displaystyle 144$

132 $\displaystyle 132$

108 $\displaystyle 108$

$\displaystyle 96$

Correct answer:

108 $\displaystyle 108$

Explanation:

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

$12\times9$ $\displaystyle 12\times9$ means adding $\displaystyle 9$ twelve times.

$\displaystyle 9+9+9+9+9+9+9+9+9+9+9+9=108$ and $12\times9=108$ $\displaystyle 12\times9=108$

Or we can think of this as grouping objects. We have $\displaystyle 12$ 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 19 at 12.32.57 pm

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Example Question #132 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}4\\ \times 2\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}4\\ \times 2\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 4$

$\displaystyle 8$

$\displaystyle 20$

$\displaystyle 16$

$\displaystyle 12$

Correct answer:

$\displaystyle 8$

Explanation:

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

$4\times2$ $\displaystyle 4\times2$ means adding $\displaystyle 2$ four times.

$\displaystyle 2+2+2+2=8$ and $4\times2=8$ $\displaystyle 4\times2=8$

Or we can think of this as grouping objects. We have $\displaystyle 4$ 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 17 at 9.04.25 pm

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Example Question #133 : Operations & Algebraic Thinking

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

Possible Answers:

$\displaystyle 30$

$\displaystyle 20$

$\displaystyle 50$

$\displaystyle 40$

$\displaystyle 60$

Correct answer:

$\displaystyle 30$

Explanation:

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

$10\times3$ $\displaystyle 10\times3$ means adding $\displaystyle 3$ ten times.

$\displaystyle 3+3+3+3+3+3+3+3+3+3=30$ and $10\times3=30$ $\displaystyle 10\times3=30$

Or we can think of this as grouping objects. We have $\displaystyle 10$ 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 8.55.06 am

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Example Question #134 : Operations & Algebraic Thinking

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

Possible Answers:

$\displaystyle 48$

$\displaystyle 32$

$\displaystyle 40$

$\displaystyle 64$

$\displaystyle 56$

Correct answer:

$\displaystyle 32$

Explanation:

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

$8\times4$ $\displaystyle 8\times4$ means adding $\displaystyle 4$ six times.

$\displaystyle 4+4+4+4+4+4+4+4=32$ and $8\times4=32$ $\displaystyle 8\times4=32$

Or we can think of this as grouping objects. We have $\displaystyle 8$ 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 8.45.43 am

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Example Question #135 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}2\\ \times 6\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}2\\ \times 6\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 24$

$\displaystyle 36$

$\displaystyle 30$

$\displaystyle 12$

$\displaystyle 18$

Correct answer:

$\displaystyle 12$

Explanation:

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

$2\times6$ $\displaystyle 2\times6$ means adding $\displaystyle 6$ two times.

6+6=12 $\displaystyle 6+6=12$ and $2\times6=12$ $\displaystyle 2\times6=12$

Or we can think of this as grouping objects. We have $\displaystyle 2$ groups, with $\displaystyle 6$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 8.13.19 am

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Example Question #136 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}5\\ \times 8\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}5\\ \times 8\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 30$

$\displaystyle 25$

$\displaystyle 35$

$\displaystyle 45$

$\displaystyle 40$

Correct answer:

$\displaystyle 40$

Explanation:

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

$5\times8$ $\displaystyle 5\times8$ means adding $\displaystyle 8$ five times.

$\displaystyle 8+8+8+8+8=40$ and $5\times8=40$ $\displaystyle 5\times8=40$

Or we can think of this as grouping objects. We have $\displaystyle 5$ 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 9.36.54 am

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Example Question #137 : Operations & Algebraic Thinking

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

Possible Answers:

$\displaystyle 20$

$\displaystyle 15$

$\displaystyle 5$

$\displaystyle 25$

$\displaystyle 10$

Correct answer:

$\displaystyle 20$

Explanation:

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

$5\times4$ $\displaystyle 5\times4$ means adding $\displaystyle 4$ five times.

$\displaystyle 4+4+4+4+4=20$ and $5\times4=20$ $\displaystyle 5\times4=20$

Or we can think of this as grouping objects. We have $\displaystyle 5$ 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 10.34.31 am

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Example Question #138 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}7\\ \times 2\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}7\\ \times 2\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 14$

$\displaystyle 7$

$\displaystyle 21$

$\displaystyle 35$

$\displaystyle 28$

Correct answer:

$\displaystyle 14$

Explanation:

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

$7\times2$ $\displaystyle 7\times2$ means adding $\displaystyle 2$ seven times.

$\displaystyle 2+2+2+2+2+2+2=14$ and $7\times2=14$ $\displaystyle 7\times2=14$

Or we can think of this as grouping objects. We have $\displaystyle 7$ 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 3.45.49 pm

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All ISEE Lower Level Quantitative Resources

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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 #331 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #231 : How To Multiply

Example Question #131 : Common Core Math: Grade 3

Example Question #132 : Operations & Algebraic Thinking

Example Question #133 : Operations & Algebraic Thinking

Example Question #134 : Operations & Algebraic Thinking

Example Question #135 : Operations & Algebraic Thinking

Example Question #136 : Operations & Algebraic Thinking

Example Question #137 : Operations & Algebraic Thinking

Example Question #138 : Operations & Algebraic Thinking

All ISEE Lower Level Quantitative Resources

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