Math 7 · Unit 8: Shapes and symmetry · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1: you use the words faces, edges and vertices to describe solid shapes. Match each word to its correct description.

   • Faces are…
   • Edges are…
   • Vertices are…

   • …the flat sides of a solid shape.
   • …the corners of a solid shape.
   • …the lines where two faces meet.
   Check

2. 2. A cuboid has rectangular faces, vertices and edges, and all its angles are the same size. Using the cloud 90, 8, 6, 12, complete its properties.

   • 6 faces, 8 vertices, 12 edges, all angles 90°
   • 8 faces, 6 vertices, 12 edges, all angles 90°
   • 6 faces, 8 vertices, 12 edges, all angles 8°
   • 6 faces, 12 vertices, 8 edges, all angles 90°
   Check

3. 3. Question 3: a tetrahedron has triangular faces. Complete its properties from the cloud 4, 6, 60, 4: how many faces, vertices and edges, and what size are all its angles?

   • 3 faces, 4 vertices, 6 edges, all angles 60°
   • 4 faces, 4 vertices, 4 edges, all angles 90°
   • 4 faces, 6 vertices, 4 edges, all angles 60°
   • 4 faces, 4 vertices, 6 edges, all angles 60°
   Check

4. 4. Which of the 3D shapes in the list have at least one circular face? Tick the 2 shapes.

   Tick all the right answers.

   • ☐ cube
   • ☐ sphere
   • ☐ cuboid
   • ☐ cone
   • ☐ cylinder
   • ☐ triangular prism
   • ☐ square-based pyramid
   Check

5. 5. Which of the 3D shapes in the list have a curved surface? Tick the 3 shapes.

   Tick all the right answers.

   • ☐ cube
   • ☐ sphere
   • ☐ cuboid
   • ☐ cone
   • ☐ cylinder
   • ☐ triangular prism
   • ☐ square-based pyramid
   Check

6. 6. Which of the 3D shapes in the list have no vertices? Tick the 2 shapes.

   Tick all the right answers.

   • ☐ cube
   • ☐ sphere
   • ☐ cuboid
   • ☐ cone
   • ☐ cylinder
   • ☐ triangular prism
   • ☐ square-based pyramid
   Check

7. 7. Question 5: this is a pentagonal pyramid. Complete the description: how many faces, how many of them are congruent triangles, and how many edges and vertices?

   • 6 faces: 2 pentagons and 4 triangles; 10 edges; 6 vertices
   • 6 faces: 1 pentagon and 5 triangles; 10 edges; 6 vertices
   • 5 faces: 1 pentagon and 4 triangles; 8 edges; 5 vertices
   • 7 faces: 1 pentagon and 6 triangles; 15 edges; 10 vertices
   Check

8. 8. Question 6: match the properties of each 3D shape with its name.

   • Six congruent square faces; 12 edges and eight vertices.
   • Five faces: a square and four congruent triangles; eight edges and five vertices.
   • Eight faces: two congruent hexagons and congruent rectangles; 18 edges and 12 vertices.
   • Two faces: a circle and a curved surface; one edge and one vertex.

   • cube
   • square-based pyramid
   • cone
   • hexagonal prism
   Check

9. 9. Question 7: which of these is the correct description of a cylinder?

   • 3 faces, 3 edges and 2 vertices
   • 2 circular faces, no edges and no vertices
   • 3 faces (2 circles and a curved surface), 2 edges and no vertices
   • 2 faces, 1 edge and 1 vertex
   Check

10. 10. Arun says: "The shape has five faces. Two of the faces are triangles and three of the faces are rectangles." Zara says: "I think it is an isosceles triangular prism." Is Zara correct?

    • Yes
    • No
    Check

11. 11. Question 8b: what piece of information is missing from Arun's description of the triangular prism?

    • the number of rectangles
    • the number of faces
    • that the two triangular faces are equilateral triangles
    • the colour of the shape
    Check

12. 12. Put a pentagonal prism through this classification flow chart. Which letter does it come out at?

    • K
    • J
    • L
    • G
    Check

13. 13. Put a tetrahedron through this classification flow chart. Which letter does it come out at?

    • H
    • I
    • G
    • J
    Check

14. 14. Put a trapezoidal prism through this classification flow chart. Which letter does it come out at?

    • L
    • J
    • I
    • K
    Check

15. 15. Put a square-based pyramid through this classification flow chart. Which letter does it come out at?

    • G
    • I
    • H
    • K
    Check

16. 16. Put an octahedron through this classification flow chart. Which letter does it come out at?

    • I
    • L
    • H
    • G
    Check

17. 17. Put a cone through this classification flow chart. Which letter does it come out at?

    • G
    • K
    • L
    • J
    Check

18. 18. Question 10a: a 3D shape has a square for its top view, front view and side view (shown). What is it?

    • a cube
    • a cylinder
    • a square-based pyramid
    • a cuboid
    Check

19. 19. Question 10b: a 3D shape has a rectangle for its top view and side view, and a triangle for its front view (shown). What is it?

    • a tetrahedron
    • a cuboid
    • a square-based pyramid
    • a triangular prism
    Check

20. 20. Question 10c: a 3D shape has a circle for its top view, front view and side view (shown). What is it?

    • a sphere
    • a cone
    • a cylinder
    • a circle
    Check