Common Core: 3rd Grade Math : Common Core Math: Grade 3

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

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Example Questions

Example Question #71 : Operations & Algebraic Thinking

\displaystyle \frac{\begin{array}[b]{r}6\\ \times 12\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 60

\displaystyle 48

\displaystyle 72

\displaystyle 54

\displaystyle 66

Correct answer:

\displaystyle 72

Explanation:

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

\displaystyle 6\times12 means adding \displaystyle 12 six times. 

\displaystyle 12+12+12+12+12+12=72 and \displaystyle 6\times8=12

Or we can think of this as grouping objects. We have \displaystyle 6 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 3.42.10 pm

Example Question #71 : Common Core Math: Grade 3

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

 

Possible Answers:

\displaystyle 64

\displaystyle 72

\displaystyle 56

\displaystyle 40

\displaystyle 48

Correct answer:

\displaystyle 64

Explanation:

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

\displaystyle 8\times8 means adding \displaystyle 8 eight times. 

\displaystyle 8+8+8+8+8+8+8+8=64 and \displaystyle 8\times8=64

Or we can think of this as grouping objects. We have \displaystyle 8 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 3.50.01 pm

Example Question #72 : Common Core Math: Grade 3

\displaystyle \frac{\begin{array}[b]{r}9\\ \times 6\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 36

\displaystyle 54

\displaystyle 45

\displaystyle 72

\displaystyle 63

Correct answer:

\displaystyle 54

Explanation:

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

\displaystyle 9\times6 means adding \displaystyle 6 nine times. 

\displaystyle 6+6+6+6+6+6+6+6+6=54 and \displaystyle 9\times6=54

Or we can think of this as grouping objects. We have \displaystyle 9 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 3.57.45 pm

Example Question #71 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 110

\displaystyle 99

\displaystyle 111

\displaystyle 88

\displaystyle 100

Correct answer:

\displaystyle 110

Explanation:

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

\displaystyle 10\times11 means adding \displaystyle 11 ten times. 

\displaystyle 11+11+11+11+11+11+11+11+11+11=110 and \displaystyle 10\times11=110

Or we can think of this as grouping objects. We have \displaystyle 10 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 4.02.09 pm

Example Question #73 : Common Core Math: Grade 3

\displaystyle \frac{\begin{array}[b]{r}11\\ \times 4\end{array}}{ \ \ \ \space}

 

 

Possible Answers:

\displaystyle 11

\displaystyle 22

\displaystyle 33

\displaystyle 55

\displaystyle 44

Correct answer:

\displaystyle 44

Explanation:

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

\displaystyle 11\times4 means adding \displaystyle 4 eleven times. 

\displaystyle 4+4+4+4+4+4+4+4+4+4+4=44 and \displaystyle 11\times4=44

Or we can think of this as grouping objects. We have \displaystyle 11 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 4.07.54 pm

Example Question #2901 : Ssat Elementary Level Quantitative (Math)

\displaystyle \frac{\begin{array}[b]{r}12\\ \times 1\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 24

\displaystyle 36

\displaystyle 48

\displaystyle 12

 

\displaystyle 60

Correct answer:

\displaystyle 12

 

Explanation:

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

\displaystyle 12\times1 means adding \displaystyle 1 twelve times. 

\displaystyle 1+1+1+1+1+1+1+1+1+1+1+1=12 and \displaystyle 12\times1=12

Or we can think of this as grouping objects. We have \displaystyle 12 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 4.13.06 pm

Example Question #72 : Common Core Math: Grade 3

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

 

Possible Answers:

\displaystyle 13

\displaystyle 9

\displaystyle 11

\displaystyle 10

\displaystyle 12

Correct answer:

\displaystyle 9

Explanation:

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

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

\displaystyle 9=9 and \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 3.22.28 pm

Example Question #232 : How To Multiply

\displaystyle \frac{\begin{array}[b]{r}1\\ \times 5\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 9

\displaystyle 6

\displaystyle 8

\displaystyle 7

\displaystyle 5

Correct answer:

\displaystyle 5

Explanation:

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

\displaystyle 1\times5 means adding \displaystyle 5 one time. 

\displaystyle 5=5 and \displaystyle 1\times5=5

Or we can think of this as grouping objects. We have \displaystyle 1 group, 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 4.39.19 pm

Example Question #72 : Operations & Algebraic Thinking

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

 

Possible Answers:

\displaystyle 14

\displaystyle 18

\displaystyle 22

\displaystyle 16

\displaystyle 20

Correct answer:

\displaystyle 18

Explanation:

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

\displaystyle 2\times9 means adding \displaystyle 9 two times. 

\displaystyle 9+9=18 and \displaystyle 2\times9=18

Or we can think of this as grouping objects. We have \displaystyle 2 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 4.40.32 pm

Example Question #233 : How To Multiply

\displaystyle \frac{\begin{array}[b]{r}3\\ \times 4\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 18

\displaystyle 9

\displaystyle 12

\displaystyle 6

\displaystyle 21

Correct answer:

\displaystyle 12

Explanation:

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

\displaystyle 3\times4 means adding \displaystyle 4 three times. 

\displaystyle 4+4+4=12 and \displaystyle 3\times4=12

Or we can think of this as grouping objects. We have \displaystyle 3 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 4.41.13 pm

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