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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual width of the yard?

Possible Answers:

$700\textup{ in}$

$400\textup{ in}$

$800\textup{ in}$

$500\textup{ in}$

$600\textup{ in}$

Correct answer:

$800\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle.

In this example, the width of the rectangle is $4\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{4}{x}$

Next, we cross multiply and solve for :

x(1)=4(200)

$x=800\textup{ in}$

Report an Error

Example Question #4 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual length of the yard?

Possible Answers:

$1\textup,500\textup{ in}$

$1\textup,300\textup{ in}$

$1\textup,400\textup{ in}$

$1\textup,100\textup{ in}$

$1\textup,200\textup{ in}$

Correct answer:

$1\textup,400\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is $7\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{7}{x}$

Next, we cross multiply and solve for :

x(1)=7(200)

$x=1\textup,400\textup{ in}$

Report an Error

Example Question #2 : Geometry

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual width of the yard?

Possible Answers:

$1\textup,400\textup{ in}$

$1\textup,300\textup{ in}$

$1\textup,100\textup{ in}$

$1\textup,200\textup{ in}$

$1\textup,000\textup{ in}$

Correct answer:

$1\textup,000\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle.

In this example, the width of the rectangle is $5\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{5}{x}$

Next, we cross multiply and solve for :

x(1)=5(200)

$x=1\textup,000\textup{ in}$

Report an Error

Example Question #10 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual length of the yard?

Possible Answers:

$1\textup,400\textup{ in}$

$1\textup,600\textup{ in}$

$1\textup,700\textup{ in}$

$1\textup,500\textup{ in}$

$1\textup,800\textup{ in}$

Correct answer:

$1\textup,800\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is $9\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{9}{x}$

Next, we cross multiply and solve for :

x(1)=9(200)

$x=1\textup,800\textup{ in}$

Report an Error

Example Question #11 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual width of the yard?

Possible Answers:

$1\textup,500\textup{ in}$

$1\textup,600\textup{ in}$

$1\textup,700\textup{ in}$

$1\textup,800\textup{ in}$

$1\textup,400\textup{ in}$

Correct answer:

$1\textup,400\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle.

In this example, the width of the rectangle is $7\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{7}{x}$

Next, we cross multiply and solve for :

x(1)=7(200)

$x=1\textup,400\textup{ in}$

Report an Error

Example Question #12 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual length of the yard?

Possible Answers:

$1\textup,400\textup{ in}$

$1\textup,500\textup{ in}$

$1\textup,600\textup{ in}$

$1\textup,800\textup{ in}$

$1\textup,700\textup{ in}$

Correct answer:

$1\textup,600\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is $3\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{8}{x}$

Next, we cross multiply and solve for :

x(1)=8(200)

$x=1\textup,600\textup{ in}$

Report an Error

Example Question #641 : Grade 7

What is the two dimensional shape that is created when the shape provided is sliced vertically?

Screen shot 2016 02 26 at 10.41.26 am

Possible Answers:

Square

Trapezoid

Rectangle

Triangle

Correct answer:

Triangle

Explanation:

A vertical cut is an up and down cut.

Screen shot 2016 02 26 at 10.47.39 am

This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a vertical cut would make a triangle.

Report an Error

Example Question #642 : Grade 7

What is the two dimensional shape that is created when the shape provided is sliced vertically?

Screen shot 2016 02 26 at 10.28.17 am

Possible Answers:

Trapezoid

Right triangle

Triangle

Rectangle

Correct answer:

Rectangle

Explanation:

A vertical cut is an up and down cut.

Screen shot 2016 02 26 at 10.47.28 am

This shape is rectangular prism, which has a base and sides in the shape of rectangles; thus, the two dimensional shape is a rectangle.

Report an Error

Example Question #3 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when the shape provided is sliced vertically?

Screen shot 2016 02 26 at 10.29.37 am

Possible Answers:

Triangle

Square

Trapezoid

Rectangle

Correct answer:

Square

Explanation:

A vertical cut is an up and down cut.

Screen shot 2016 02 26 at 10.47.35 am

This shape is cube, which has a base and sides in the shape of squares; thus, the two dimensional shape is a square.

Report an Error

Example Question #4 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when a rectangular prism is sliced vertically?

Possible Answers:

Right triangle

Trapezoid

Rectangle

Triangle

Correct answer:

Rectangle

Explanation:

A vertical cut is an up and down cut.

Screen shot 2016 02 26 at 10.47.28 am

This shape is rectangular prism, which has a base and sides in the shape of rectangles; thus, the two dimensional shape is a rectangle.

Report an Error

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #3 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #4 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #2 : Geometry

Example Question #10 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #11 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #12 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #641 : Grade 7

Example Question #642 : Grade 7

Example Question #3 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

Example Question #4 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

All Common Core: 7th Grade Math Resources

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