Common Core: 3rd Grade Math : Operations & Algebraic Thinking

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #261 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

\displaystyle \frac{\begin{array}[b]{r}9\\ \times 2\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 18

\displaystyle 27

\displaystyle 9

\displaystyle 45

\displaystyle 36

Correct answer:

\displaystyle 18

Explanation:

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

\displaystyle 9\times2 means adding \displaystyle 2 nine times. 

\displaystyle 2+2+2+2+2+2+2+2+2=18 and \displaystyle 9\times2=18

Or we can think of this as grouping objects. We have \displaystyle 9 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 3.03.32 pm

Example Question #62 : Common Core Math: Grade 3

\displaystyle \frac{\begin{array}[b]{r}10\\ \times 8\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 70

\displaystyle 60

\displaystyle 100

\displaystyle 80

\displaystyle 90

Correct answer:

\displaystyle 80

Explanation:

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

\displaystyle 10\times8 means adding \displaystyle 8 ten times. 

\displaystyle 8+8+8+8+8+8+8+8+8+8=80 and \displaystyle 10\times8=80

Or we can think of this as grouping objects. We have \displaystyle 10 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 3.08.23 pm

Example Question #62 : Operations & Algebraic Thinking

\displaystyle \frac{\begin{array}[b]{r}11\\ \times 1\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 44

\displaystyle 22

\displaystyle 11

\displaystyle 33

\displaystyle 55

Correct answer:

\displaystyle 11

Explanation:

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

\displaystyle 11\times1 means adding \displaystyle 1 eleven times. 

\displaystyle 1+1+1+1+1+1+1+1+1+1+1=11 and \displaystyle 11\times1=11

Or we can think of this as grouping objects. We have \displaystyle 11 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 3.14.04 pm

Example Question #61 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 48

\displaystyle 84

\displaystyle 72

\displaystyle 36

\displaystyle 60

Correct answer:

\displaystyle 48

Explanation:

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

\displaystyle 12\times4 means adding \displaystyle 4 twelve times. 

\displaystyle 4+4+4+4+4+4+4+4+4+4+4+4=48 and \displaystyle 12\times4=48

Or we can think of this as grouping objects. We have \displaystyle 12 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 3.16.59 pm

Example Question #64 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 18

\displaystyle 6

\displaystyle 3

\displaystyle 9

\displaystyle 12

Correct answer:

\displaystyle 3

Explanation:

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

\displaystyle 3\times1 means adding \displaystyle 1 three times. 

\displaystyle 1+1+1=3 and \displaystyle 3\times1=3

Or we can think of this as grouping objects. We have \displaystyle 3 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 2.36.35 pm

Example Question #65 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 8

\displaystyle 10

\displaystyle 12

\displaystyle 14

\displaystyle 6

Correct answer:

\displaystyle 8

Explanation:

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

\displaystyle 2\times4 means adding \displaystyle 4 two times. 

\displaystyle 4+4=8 and \displaystyle 2\times4=8

Or we can think of this as grouping objects. We have \displaystyle 2 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 2.33.00 pm

Example Question #62 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 33

\displaystyle 44

\displaystyle 55

\displaystyle 22

\displaystyle 66

Correct answer:

\displaystyle 22

Explanation:

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

\displaystyle 2\times11 means adding \displaystyle 11 two times. 

\displaystyle 11+11=22 and \displaystyle 2\times11=22

Or we can think of this as grouping objects. We have \displaystyle 2 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 3.25.31 pm

Example Question #67 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 9

\displaystyle 21

\displaystyle 15

\displaystyle 12

\displaystyle 18

Correct answer:

\displaystyle 21

Explanation:

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

\displaystyle 3\times7 means adding \displaystyle 7 three times. 

\displaystyle 7+7+7=21 and \displaystyle 3\times7=21

Or we can think of this as grouping objects. We have \displaystyle 3 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 3.28.33 pm

Example Question #61 : Operations & Algebraic Thinking

\displaystyle \frac{\begin{array}[b]{r}4\\ \times 10\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 32

\displaystyle 36

\displaystyle 40

\displaystyle 44

\displaystyle 28

Correct answer:

\displaystyle 40

Explanation:

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

\displaystyle 4\times10 means adding \displaystyle 10 four times. 

\displaystyle 10+10+10+10=40 and \displaystyle 4\times10=40

Or we can think of this as grouping objects. We have \displaystyle 4 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 3.31.50 pm

Example Question #2901 : Numbers And Operations

\displaystyle \frac{\begin{array}[b]{r}5\\ \times 9\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 45

\displaystyle 40

\displaystyle 35

\displaystyle 30

\displaystyle 25

Correct answer:

\displaystyle 45

Explanation:

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

\displaystyle 5\times9 means adding \displaystyle 9 five times. 

\displaystyle 9+9+9+9+9=45 and \displaystyle 5\times9=45

Or we can think of this as grouping objects. We have \displaystyle 5 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 3.36.33 pm

Learning Tools by Varsity Tutors