Homework Practice

Printable assignment

Exploring Some Geometric Themes: Final Assessment

Section A: Concepts

Question 1mcq

How many faces, edges, and vertices does a cube have?

4

faces,

4

edges,

4

vertices

6

faces,

12

edges,

8

vertices

8

faces,

6

edges,

12

vertices

8

faces,

12

edges,

6

vertices

Question 2mcq

How many faces, edges, and vertices does a cuboid have?

8

faces,

12

edges,

6

vertices

4

faces,

4

edges,

4

vertices

8

faces,

6

edges,

12

vertices

6

faces,

12

edges,

8

vertices

Question 3mcq

Which statement about a valid net of a cube is correct?

A.Its squares may overlap after folding.

B.A cube net must have six connected squares arranged so they fold without overlap.

C.It must include circles for the corners.

D.It can have any five squares.

Question 4mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Only the front view matters.

B.Top, front, and side views can be different for the same solid.

C.A 3D object cannot have 2D views.

D.All three views must always be identical.

Question 5mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Top, front, and side views can be different for the same solid.

B.Only the front view matters.

C.A 3D object cannot have 2D views.

D.All three views must always be identical.

Question 6mcq

Which is Euler's formula for a convex polyhedron?

F+E=V+2

F+V=E+2

F+V=E

E+V=F+2

Question 7mcq

Can a convex polyhedron have

8

faces,

12

vertices, and

18

edges?

A.Cannot be checked using a formula.

B.Yes, because all three numbers are positive.

C.No, because faces must equal edges.

D.Yes, it satisfies Euler's formula.

Question 8mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Use a random line through the figure.

B.Estimate by looking only at the endpoint.

C.Break the path into simpler straight parts and track direction changes.

D.Ignore turns and count only shapes.

Section B: Skills

Question 9mcq

How many faces, edges, and vertices does a cuboid have?

8

faces,

12

edges,

6

vertices

6

faces,

12

edges,

8

vertices

8

faces,

6

edges,

12

vertices

4

faces,

4

edges,

4

vertices

Question 10mcq

How many faces, edges, and vertices does a triangular prism have?

8

faces,

6

edges,

12

vertices

6

faces,

9

edges,

5

vertices

4

faces,

4

edges,

4

vertices

5

faces,

9

edges,

6

vertices

Question 11mcq

Which statement about a valid net of a cube is correct?

A.A cube net must have six connected squares arranged so they fold without overlap.

B.It must include circles for the corners.

C.Its squares may overlap after folding.

D.It can have any five squares.

Question 12mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Top, front, and side views can be different for the same solid.

B.A 3D object cannot have 2D views.

C.All three views must always be identical.

D.Only the front view matters.

Question 13mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.All three views must always be identical.

B.Only the front view matters.

C.Top, front, and side views can be different for the same solid.

D.A 3D object cannot have 2D views.

Question 14mcq

Which is Euler's formula for a convex polyhedron?

F+E=V+2

F+V=E+2

F+V=E

E+V=F+2

Question 15mcq

Can a convex polyhedron have

7

faces,

10

vertices, and

15

edges?

A.Cannot be checked using a formula.

B.Yes, it satisfies Euler's formula.

C.Yes, because all three numbers are positive.

D.No, because faces must equal edges.

Question 16mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Estimate by looking only at the endpoint.

B.Ignore turns and count only shapes.

C.Break the path into simpler straight parts and track direction changes.

D.Use a random line through the figure.

Section C: Applications

Question 17mcq

How many faces, edges, and vertices does a triangular prism have?

6

faces,

9

edges,

5

vertices

5

faces,

9

edges,

6

vertices

8

faces,

6

edges,

12

vertices

4

faces,

4

edges,

4

vertices

Question 18mcq

How many faces, edges, and vertices does a square pyramid have?

5

faces,

8

edges,

5

vertices

8

faces,

6

edges,

12

vertices

5

faces,

8

edges,

5

vertices

4

faces,

4

edges,

4

vertices

Question 19mcq

Which statement about a valid net of a cube is correct?

A.Its squares may overlap after folding.

B.A cube net must have six connected squares arranged so they fold without overlap.

C.It can have any five squares.

D.It must include circles for the corners.

Question 20mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Top, front, and side views can be different for the same solid.

B.All three views must always be identical.

C.Only the front view matters.

D.A 3D object cannot have 2D views.

Question 21mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Only the front view matters.

B.A 3D object cannot have 2D views.

C.All three views must always be identical.

D.Top, front, and side views can be different for the same solid.

Question 22mcq

Which is Euler's formula for a convex polyhedron?

F+V=E

E+V=F+2

F+V=E+2

F+E=V+2

Question 23mcq

Can a convex polyhedron have

6

faces,

8

vertices, and

12

edges?

A.No, because faces must equal edges.

B.Yes, it satisfies Euler's formula.

C.Cannot be checked using a formula.

D.Yes, because all three numbers are positive.

Question 24mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Ignore turns and count only shapes.

B.Use a random line through the figure.

C.Estimate by looking only at the endpoint.

D.Break the path into simpler straight parts and track direction changes.

Section D: Reasoning

Question 25mcq

How many faces, edges, and vertices does a square pyramid have?

5

faces,

8

edges,

5

vertices

4

faces,

4

edges,

4

vertices

5

faces,

8

edges,

5

vertices

8

faces,

6

edges,

12

vertices

Question 26mcq

How many faces, edges, and vertices does a cube have?

4

faces,

4

edges,

4

vertices

6

faces,

12

edges,

8

vertices

8

faces,

12

edges,

6

vertices

8

faces,

6

edges,

12

vertices

Question 27mcq

Which statement about a valid net of a cube is correct?

A.Its squares may overlap after folding.

B.It must include circles for the corners.

C.A cube net must have six connected squares arranged so they fold without overlap.

D.It can have any five squares.

Question 28mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Top, front, and side views can be different for the same solid.

B.All three views must always be identical.

C.A 3D object cannot have 2D views.

D.Only the front view matters.

Question 29mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.A 3D object cannot have 2D views.

B.Top, front, and side views can be different for the same solid.

C.All three views must always be identical.

D.Only the front view matters.

Question 30mcq

Which is Euler's formula for a convex polyhedron?

F+V=E

F+V=E+2

F+E=V+2

E+V=F+2

Question 31mcq

Can a convex polyhedron have

5

faces,

5

vertices, and

8

edges?

A.No, because faces must equal edges.

B.Cannot be checked using a formula.

C.Yes, it satisfies Euler's formula.

D.Yes, because all three numbers are positive.

Question 32mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Break the path into simpler straight parts and track direction changes.

B.Estimate by looking only at the endpoint.

C.Ignore turns and count only shapes.

D.Use a random line through the figure.