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

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

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Example Questions

Example Question #151 : Common Core Math: Grade 3

\(\displaystyle 40\div5=\)

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 11\)

\(\displaystyle 10\)

\(\displaystyle 7\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 8\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 40\) items and we want to split them up equally into \(\displaystyle 5\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 5\) circles and start putting the \(\displaystyle 40\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.36.54 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 8\) triangles in each of the groups so our answer is \(\displaystyle 8\)

Example Question #5 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 16\div4=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 7\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 4\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 16\) items and we want to split them up equally into \(\displaystyle 4\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 4\) circles and start putting the \(\displaystyle 16\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.32.36 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 4\) triangles in each of the groups so our answer is \(\displaystyle 4\)

Example Question #6 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 6\div3=\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 2\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 6\) items and we want to split them up equally into \(\displaystyle 3\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 3\) circles and start putting the \(\displaystyle 6\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.29.23 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 2\) triangles in each of the groups so our answer is \(\displaystyle 2\)

Example Question #7 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 8\div1=\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 8\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 8\) items and we want to split them up equally into \(\displaystyle 1\) group. We are solving for the number of items in each group. 

We can draw \(\displaystyle 1\) circle and start putting the \(\displaystyle 8\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.20.00 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 8\) triangles in each of the groups so our answer is \(\displaystyle 8\)

Example Question #152 : Common Core Math: Grade 3

\(\displaystyle 20\div2=\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 11\)

\(\displaystyle 10\)

\(\displaystyle 9\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 10\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 20\) items and we want to split them up equally into \(\displaystyle 2\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 2\) circles and start putting the \(\displaystyle 20\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.25.14 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 10\) triangles in each of the groups so our answer is \(\displaystyle 10\)

Example Question #153 : Common Core Math: Grade 3

\(\displaystyle 12\div6=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 2\)

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 2\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 12\) items and we want to split them up equally into \(\displaystyle 6\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 6\) circles and start putting the \(\displaystyle 12\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.10.13 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 2\) triangles in each of the \(\displaystyle 6\) groups so our answer is \(\displaystyle 2\)

Example Question #154 : Common Core Math: Grade 3

\(\displaystyle 72\div12=\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 7\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 6\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 72\) items and we want to split them up equally into \(\displaystyle 12\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 12\) circles and start putting the \(\displaystyle 72\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.05.54 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 6\) triangles in each of the groups so our answer is \(\displaystyle 6\)

Example Question #155 : Common Core Math: Grade 3

\(\displaystyle 121\div11=\)

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 11\)

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 11\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 121\) items and we want to split them up equally into \(\displaystyle 11\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 11\) circles and start putting the \(\displaystyle 121\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.00.11 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 11\) triangles in each of the groups so our answer is \(\displaystyle 11\)

Example Question #156 : Common Core Math: Grade 3

\(\displaystyle 30\div10=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 7\)

\(\displaystyle 3\)

\(\displaystyle 6\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 3\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 30\) items and we want to split them up equally into \(\displaystyle 10\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 10\) circles and start putting the \(\displaystyle 30\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 8.55.06 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 3\) triangles in each of the groups so our answer is \(\displaystyle 3\)

Example Question #157 : Common Core Math: Grade 3

\(\displaystyle 27\div9=\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 4\)

\(\displaystyle 1\)

\(\displaystyle 3\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 3\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 27\) items and we want to split them up equally into \(\displaystyle 9\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 9\) circles and start putting the \(\displaystyle 27\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 8.50.36 am

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 3\) triangles in each of the groups so our answer is \(\displaystyle 3\)

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