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 #3 : How To Find The Area Of A Parallelogram

What area of the rectangle is filled in?


7 12 rectangle

Possible Answers:

\(\displaystyle \frac{7}{10}\)

\(\displaystyle \frac{6}{10}\)

\(\displaystyle 7\)

\(\displaystyle \frac{7}{12}\)

\(\displaystyle \frac{6}{12}\)

Correct answer:

\(\displaystyle \frac{7}{12}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 12\) pieces and \(\displaystyle 7\) of those pieces are filled in.

\(\displaystyle \frac{7}{12}\) of the area of this rectangle is filled in.   

Example Question #2 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

1 2 rectangle

Possible Answers:

\(\displaystyle \frac{1}{2}\)

\(\displaystyle 1\)

\(\displaystyle 2\)

\(\displaystyle 4\)

\(\displaystyle \frac{1}{4}\)

Correct answer:

\(\displaystyle \frac{1}{2}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 2\) pieces and \(\displaystyle 1\) of those pieces is filled in.

\(\displaystyle \frac{1}{2}\) of the area of this rectangle is filled in.   

Example Question #3 : How To Find The Area Of A Parallelogram

What area of the rectangle is filled in?


8 12 rectangle

Possible Answers:

\(\displaystyle \frac{8}{10}\)

\(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{8}{12}\)

\(\displaystyle \frac{6}{10}\)

\(\displaystyle \frac{6}{12}\)

Correct answer:

\(\displaystyle \frac{8}{12}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 12\) pieces and \(\displaystyle 8\) of those pieces are filled in.

\(\displaystyle \frac{8}{12}\) of the area of this rectangle is filled in.   

Example Question #51 : Plane Geometry

What area of the rectangle is filled in?

2 4 rectangle

Possible Answers:

\(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle \frac{2}{2}\)

Correct answer:

\(\displaystyle \frac{2}{4}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 4\) pieces and \(\displaystyle 2\) of those pieces are filled in.

\(\displaystyle \frac{2}{4}\) of the area of this rectangle is filled in.   

Example Question #4 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

1 3 rectangle

Possible Answers:

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle 3\)

\(\displaystyle \frac{1}{2}\)

\(\displaystyle 1\)

Correct answer:

\(\displaystyle \frac{1}{3}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 3\) pieces and \(\displaystyle 1\) of those pieces is filled in.

\(\displaystyle \frac{1}{3}\) of the area of this rectangle is filled in.   

Example Question #31 : Geometry

What area of the rectangle is filled in?

4 12 rectangle

Possible Answers:

\(\displaystyle \frac{4}{12}\)

\(\displaystyle \frac{4}{14}\)

\(\displaystyle \frac{4}{16}\)

\(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{4}{8}\)

Correct answer:

\(\displaystyle \frac{4}{12}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 12\) pieces and \(\displaystyle 4\) of those pieces are filled in.

\(\displaystyle \frac{4}{12}\) of the area of this rectangle is filled in.   

Example Question #6 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

3 4 rectangle

Possible Answers:

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{3}{5}\)

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{3}{3}\)

Correct answer:

\(\displaystyle \frac{3}{4}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 4\) pieces and \(\displaystyle 3\) of those pieces are filled in.

\(\displaystyle \frac{3}{4}\) of the area of this rectangle is filled in.   

Example Question #32 : Geometry

What area of the rectangle is filled in?

2 8 rectangle

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle \frac{2}{6}\)

\(\displaystyle \frac{2}{8}\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle \frac{2}{8}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 8\) pieces and \(\displaystyle 2\) of those pieces are filled in.

\(\displaystyle \frac{2}{8}\) of the area of this rectangle is filled in.   

Example Question #33 : Geometry

What area of the rectangle is filled in?

4 6 rectangle

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{4}{6}\)

\(\displaystyle 7\)

\(\displaystyle \frac{5}{6}\)

Correct answer:

\(\displaystyle \frac{4}{6}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 6\) pieces and \(\displaystyle 4\) of those pieces are filled in.

\(\displaystyle \frac{4}{6}\) of the area of this rectangle is filled in.   

Example Question #34 : Geometry

What area of the rectangle is filled in?

1 4 rectangle

Possible Answers:

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{4}{1}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle 3\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle \frac{1}{4}\)

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into \(\displaystyle 4\) pieces and \(\displaystyle 1\) of those pieces is filled in.

\(\displaystyle \frac{1}{4}\) of the area of this rectangle is filled in.   

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