3rd Grade Math : 3rd Grade Math

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

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Example Questions

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Example Question #1 : Number Sense

What is  rounded to the nearest ten? 

Possible Answers:

Correct answer:

Explanation:

When we round a number to the tens place we look to our ones place to tell us if we round up or down.

If the number in our ones place is  or greater, we round up. If the number in the ones place is  or less, we round down. When we round up, the number in the tens place increases by . The numbers to the right of the tens place become  and the numbers to the left of the tens place stay the same. When we round down, the number in the tens place stays the same. The numbers to the right of the tens place become  and the numbers to the left of the tens place stay the same.

In this case,  is equal to  so our rounded number is 

Example Question #1 : Number Sense

What is  rounded to the nearest hundred? 

Possible Answers:

Correct answer:

Explanation:

When we round a number to the hundreds place we look to our tens place to tell us if we round up or down.

If the number in our tens place is  or greater, we round up. If the number in the tens place is  or less, we round down. When we round up, the number in the hundreds place increases by  and all the other numbers become . When we round down, the number in the hundreds place stays the same and all the other numbers become .

In this case,  is less than  so our rounded number is 

Example Question #1 : Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

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

 means adding  three times. 

 and 

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


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Example Question #2 : Operations

Solve: 

Possible Answers:

Correct answer:

Explanation:

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

We can draw  circles and start putting the  items, in this case triangles, into each circle equally. 

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Our answer is the number of items in  group. In this case, there are  triangles in each of the groups so our answer is 

Example Question #1 : 3rd Grade Math

What is the area of the rectangle? 

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Possible Answers:



Correct answer:



Explanation:

The formula to find area is .

We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #2 : 3rd Grade Math

What is the area of the figure below?

10

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

10.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #3 : 3rd Grade Math

Megan is working on a science experiment. Using the scale below, how much water will she have if she adds  more grams of water? 


15 g

Possible Answers:

Correct answer:

Explanation:

Megan has  of water and when she adds  she will have 

Example Question #1 : Fractions

What fraction of the circle is green? 

8

Possible Answers:

Correct answer:

Explanation:

The circle is split up into  equal parts.  of the parts are shaded green, which means  of the circle is green. 

Example Question #2 : Fractions

What fraction of the rectangle is purple? 

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Possible Answers:

Correct answer:

Explanation:

The rectangle is split into  equal parts, and  of those parts are shaded purple. 

 of the rectangle is purple. 

 can be reduced because both the denominator and the numerator can be divided by 

Example Question #3 : Fractions

Select the fraction that is equivalent to 

Possible Answers:

Correct answer:

Explanation:

We can make number lines to help us solve this problem:

12

The two lines above are the same length. The top line is split into  pieces and the bottom line is split into  pieces.

  and  are equivalent because they occupy the same position on the number line. 

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