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 #53 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.56.06 pm 

 

Possible Answers:

\(\displaystyle 51cm^2\)

\(\displaystyle 49cm^2\)

\(\displaystyle 50cm^2\)

\(\displaystyle 52cm^2\)

\(\displaystyle 48cm^2\)

Correct answer:

\(\displaystyle 50cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 10\times5=50cm^2\)

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

Example Question #54 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 1.55.48 pm

 

Possible Answers:

\(\displaystyle 29cm^2\)

\(\displaystyle 27cm^2\)

\(\displaystyle 28cm^2\)

\(\displaystyle 26cm^2\)

\(\displaystyle 30cm^2\)

Correct answer:

\(\displaystyle 30cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 10\times3=30cm^2\)

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

Example Question #401 : Plane Geometry

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.54.08 pm 

 

Possible Answers:

\(\displaystyle 60cm^2\)

\(\displaystyle 57cm^2\)

\(\displaystyle 58cm^2\)

\(\displaystyle 56cm^2\)

\(\displaystyle 59cm^2\)

Correct answer:

\(\displaystyle 56cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 7\times8=56cm^2\)

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

Example Question #56 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 1.53.36 pm

 

Possible Answers:

\(\displaystyle 8cm^2\)

\(\displaystyle 6cm^2\)

\(\displaystyle 7cm^2\)

\(\displaystyle 10cm^2\)

\(\displaystyle 9cm^2\)

Correct answer:

\(\displaystyle 7cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 7\times1=7cm^2\)

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

Example Question #581 : Geometry

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 1.53.11 pm

 

Possible Answers:

\(\displaystyle 61cm^2\)

\(\displaystyle 63cm^2\)

\(\displaystyle 64cm^2\)

\(\displaystyle 62cm^2\)

\(\displaystyle 60cm^2\)

Correct answer:

\(\displaystyle 63cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 9\times7=63cm^2\)

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

Example Question #341 : Rectangles

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.52.51 pm 

 

Possible Answers:

\(\displaystyle 18cm^2\)

\(\displaystyle 19cm^2\)

\(\displaystyle 17cm&2\)

\(\displaystyle 16cm^2\)

\(\displaystyle 20cm^2\)

Correct answer:

\(\displaystyle 18cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 9\times2=18cm^2\)

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

Example Question #401 : Quadrilaterals

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.52.22 pm 

 

Possible Answers:

\(\displaystyle 18cm^2\)

\(\displaystyle 19cm^2\)

\(\displaystyle 16cm^2\)

\(\displaystyle 15cm^2\)

\(\displaystyle 17cm^2\)

Correct answer:

\(\displaystyle 15cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 3\times5=15cm^2\)

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

Example Question #51 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.52.04 pm 

 

Possible Answers:

\(\displaystyle 20cm^2\)

\(\displaystyle 24cm^2\)

\(\displaystyle 22cm^2\)

\(\displaystyle 21cm^2\)

\(\displaystyle 23cm^2\)

Correct answer:

\(\displaystyle 24cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 3\times8=24cm^2\)

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

Example Question #1731 : Common Core Math: Grade 3

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 2\times2\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.21.32 pm

Possible Answers:

\(\displaystyle 3\times3\)

\(\displaystyle 5\times2\)

\(\displaystyle 3\times2\)

\(\displaystyle 4\times3\)

\(\displaystyle 4\times2\)

Correct answer:

\(\displaystyle 3\times2\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 2\ units\). The length of the purple side is \(\displaystyle 3\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 3\times2\).

 

Example Question #2 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 2\times3\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.30.24 pm

 

Possible Answers:

\(\displaystyle 2\times3\)

\(\displaystyle 5\times2\)

\(\displaystyle 3\times3\)

\(\displaystyle 5\times3\)

\(\displaystyle 3\times2\)

Correct answer:

\(\displaystyle 3\times3\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 3\ units\). The length of the purple side is \(\displaystyle 3\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 3\times3\).

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