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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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All Common Core: 3rd Grade Math Resources

7 Diagnostic Tests 226 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #381 : Quadrilaterals

What is the width of the rectangle if the perimeter is 12in $\displaystyle 12in$ and the length is 4in $\displaystyle 4in$ ?

Possible Answers:

3in $\displaystyle 3in$

2in $\displaystyle 2in$

4in $\displaystyle 4in$

1in $\displaystyle 1in$

5in $\displaystyle 5in$

Correct answer:

2in $\displaystyle 2in$

Explanation:

The formula for perimeter of a rectangle is $\displaystyle P=2(l + w)$

To solve for the width we can plug our known values into the equation.

$\displaystyle 12=2(4+w)$

12=8+2w $\displaystyle 12=8+2w$

Subtract $\displaystyle 8$ from both sides

4=2w $\displaystyle 4=2w$

Divide $\displaystyle 2$ by both sides

2=w $\displaystyle 2=w$

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Example Question #622 : Geometry

What is the width of the rectangle if the perimeter is 16in $\displaystyle 16in$ and the length is 4in $\displaystyle 4in$ ?

Possible Answers:

6in $\displaystyle 6in$

5in $\displaystyle 5in$

4in $\displaystyle 4in$

7in $\displaystyle 7in$

3in $\displaystyle 3in$

Correct answer:

4in $\displaystyle 4in$

Explanation:

The formula for perimeter of a rectangle is $\displaystyle P=2(l + w)$

To solve for the width we can plug our known values into the equation.

$\displaystyle 16=2(4+w)$

16=8+2w $\displaystyle 16=8+2w$

Subtract $\displaystyle 8$ from both sides

8=2w $\displaystyle 8=2w$

Divide $\displaystyle 2$ by both sides

4=w $\displaystyle 4=w$

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Example Question #581 : Plane Geometry

What is the width of the rectangle if the perimeter is 10in $\displaystyle 10in$ and the length is 2in $\displaystyle 2in$ ?

Possible Answers:

3in $\displaystyle 3in$

4in $\displaystyle 4in$

5in $\displaystyle 5in$

7in $\displaystyle 7in$

6in $\displaystyle 6in$

Correct answer:

3in $\displaystyle 3in$

Explanation:

The formula for perimeter of a rectangle is $\displaystyle P=2(l + w)$

To solve for the width we can plug our known values into the equation.

$\displaystyle 10=2(2+w)$

10=4+2w $\displaystyle 10=4+2w$

Subtract $\displaystyle 4$ from both sides

6=2w $\displaystyle 6=2w$

Divide $\displaystyle 2$ by both sides

3=w $\displaystyle 3=w$

Report an Error

Example Question #621 : Geometry

What is the width of the rectangle if the perimeter is 32in $\displaystyle 32in$ and the length is 9in $\displaystyle 9in$ ?

Possible Answers:

9in $\displaystyle 9in$

8in $\displaystyle 8in$

10in $\displaystyle 10in$

7in $\displaystyle 7in$

11in $\displaystyle 11in$

Correct answer:

7in $\displaystyle 7in$

Explanation:

The formula for perimeter of a rectangle is $\displaystyle P=2(l + w)$

To solve for the width we can plug our known values into the equation.

$\displaystyle 32=2(9+w)$

$\displaystyle 32=18+2w$

Subtract $\displaystyle 18$ from both sides

14=2w $\displaystyle 14=2w$

Divide $\displaystyle 2$ by both sides

7=w $\displaystyle 7=w$

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Example Question #1841 : Common Core Math: Grade 3

What is the width of the rectangle if the perimeter is 38in $\displaystyle 38in$ and the length is 10in $\displaystyle 10in$ ?

Possible Answers:

8in $\displaystyle 8in$

10in $\displaystyle 10in$

9in $\displaystyle 9in$

12in $\displaystyle 12in$

11in $\displaystyle 11in$

Correct answer:

9in $\displaystyle 9in$

Explanation:

The formula for perimeter of a rectangle is $\displaystyle P=2(l + w)$

To solve for the width we can plug our known values into the equation.

$\displaystyle 38=2(10+w)$

$\displaystyle 38=20+2w$

Subtract $\displaystyle 20$ from both sides

18=2w $\displaystyle 18=2w$

Divide $\displaystyle 2$ by both sides

9=w $\displaystyle 9=w$

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Example Question #622 : Geometry

What is the width of the rectangle if the perimeter is 26in $\displaystyle 26in$ and the length is 8in $\displaystyle 8in$ ?

Possible Answers:

8in $\displaystyle 8in$

5in $\displaystyle 5in$

6in $\displaystyle 6in$

9in $\displaystyle 9in$

7in $\displaystyle 7in$

Correct answer:

5in $\displaystyle 5in$

Explanation:

The formula for perimeter of a rectangle is $\displaystyle P=2(l + w)$

To solve for the width we can plug our known values into the equation.

$\displaystyle 26=2(8+w)$

$\displaystyle 26=16+2w$

Subtract $\displaystyle 16$ from both sides

10=2w $\displaystyle 10=2w$

Divide $\displaystyle 2$ by both sides

5=w $\displaystyle 5=w$

Report an Error

Example Question #481 : Measurement & Data

What is the perimeter of the square below?

Screen shot 2015 11 05 at 8.19.52 am

Possible Answers:

15cm $\displaystyle 15cm$

30cm $\displaystyle 30cm$

35cm $\displaystyle 35cm$

20cm $\displaystyle 20cm$

25cm $\displaystyle 25cm$

Correct answer:

20cm $\displaystyle 20cm$

Explanation:

To solve this problem, we need to remember is that a square has four sides of equal length. This means that given one side length, we know all the other side lengths. The formula for perimeter is P=2l+2w $\displaystyle P=2l+2w$ , which is the same thing as adding all the side lengths together.

$\displaystyle P=2(5)+2(5)$ or $\displaystyle P=5+5+5+5$

P=20cm $\displaystyle P=20cm$

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Example Question #482 : Measurement & Data

What is the perimeter of the square below?

Screen shot 2015 11 05 at 8.21.29 am

Possible Answers:

15cm $\displaystyle 15cm$

12cm $\displaystyle 12cm$

24cm $\displaystyle 24cm$

18cm $\displaystyle 18cm$

21cm $\displaystyle 21cm$

Correct answer:

12cm $\displaystyle 12cm$

Explanation:

$\displaystyle P=2(3)+2(3)$ or $\displaystyle P=3+3+3+3$

P=12cm $\displaystyle P=12cm$

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Example Question #24 : Squares

What is the perimeter of the square below?

Screen shot 2015 11 05 at 8.23.29 am

Possible Answers:

35cm $\displaystyle 35cm$

21cm $\displaystyle 21cm$

14cm $\displaystyle 14cm$

42cm $\displaystyle 42cm$

28cm $\displaystyle 28cm$

Correct answer:

28cm $\displaystyle 28cm$

Explanation:

$\displaystyle P=2(7)+2(7)$ or $\displaystyle P=7+7+7+7$

P=28cm $\displaystyle P=28cm$

Report an Error

Example Question #483 : Measurement & Data

What is the perimeter of the square below?

Screen shot 2015 11 05 at 8.26.37 am

Possible Answers:

18cm $\displaystyle 18cm$

28cm $\displaystyle 28cm$

24cm $\displaystyle 24cm$

26cm $\displaystyle 26cm$

36cm $\displaystyle 36cm$

Correct answer:

36cm $\displaystyle 36cm$

Explanation:

$\displaystyle P=2(9)+2(9)$ or $\displaystyle P=9+9+9+9$

P=36cm $\displaystyle P=36cm$

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All Common Core: 3rd Grade Math Resources

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

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

All Common Core: 3rd Grade Math Resources

Example Questions

Example Question #381 : Quadrilaterals

Example Question #622 : Geometry

Example Question #581 : Plane Geometry

Example Question #621 : Geometry

Example Question #1841 : Common Core Math: Grade 3

Example Question #622 : Geometry

Example Question #481 : Measurement & Data

Example Question #482 : Measurement & Data

Example Question #24 : Squares

Example Question #483 : Measurement & Data

All Common Core: 3rd Grade Math Resources

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