Math 4 · Unit 12: Investigating 3D shapes and nets · Cambridge Primary Maths Stage 4

Questions

1. 1. Match each word to the part of a 3D shape it names.

   • face
   • edge
   • vertex

   • a line where two faces meet
   • a corner where edges meet
   • a flat surface of the shape
   Check

2. 2. This is a hexagon-based pyramid. Match each word to the part of the shape it names.

   • face
   • edge
   • vertex

   • the point at the top
   • one of the triangles
   • a sloping line from the top down to a corner of the base
   Check

3. 3. This is a cuboid. How many edges are there?

   • 8
   • 12
   • 6
   • 10
   Check

4. 4. This is a cuboid. How many vertices are there?

   • 4
   • 6
   • 8
   • 12
   Check

5. 5. This is a cuboid. How many faces are there?

   • 6
   • 8
   • 4
   • 12
   Check

6. 6. This is a pentagon-based pyramid. What shape is the shaded face?

   • a pentagon
   • a square
   • a triangle
   • a rectangle
   Check

7. 7. This is a triangular prism. What shape is the shaded face?

   • a pentagon
   • a triangle
   • a square
   • a rectangle
   Check

8. 8. What are the seven faces of a pentagonal prism?

   • 7 rectangles
   • 1 pentagon and 6 rectangles
   • 2 pentagons and 5 triangles
   • 2 pentagons and 5 rectangles
   Check

9. 9. Complete: A tetrahedron has ___ faces, ___ edges and ___ vertices.

   • 4, 6, 4
   • 4, 4, 4
   • 4, 6, 3
   • 3, 6, 4
   Check

10. 10. This is a square face from one of these shapes. Tick the 3 shapes it could belong to.

    Tick all the right answers.

    Check

11. 11. Name a 3D shape with more than two triangular faces.

    • a cylinder
    • a square-based pyramid
    • a triangular prism
    • a cube
    Check

12. 12. Name a 3D shape with a circular face.

    • a pyramid
    • a prism
    • a cylinder
    • a cube
    Check

13. 13. How many faces, edges and vertices does each shape have? Choose the right table row: cuboid, triangular prism, pentagon-based pyramid, hexagonal prism.

    • Cuboid 6, 8, 12; triangular prism 5, 9, 6; pentagon-based pyramid 6, 10, 5; hexagonal prism 6, 18, 12
    • Cuboid 6, 12, 8; triangular prism 5, 9, 6; pentagon-based pyramid 6, 10, 6; hexagonal prism 8, 18, 12
    • Cuboid 6, 12, 8; triangular prism 6, 9, 6; pentagon-based pyramid 6, 10, 6; hexagonal prism 8, 12, 12
    • Cuboid 6, 12, 8; triangular prism 5, 9, 6; pentagon-based pyramid 5, 10, 6; hexagonal prism 8, 18, 12
    Check

14. 14. This is a face from one of the shapes in the list. Tick the 3 shapes it could belong to.

    Tick all the right answers.

    • ☐ Cube
    • ☐ Triangular prism
    • ☐ Tetrahedron
    • ☐ Hexagonal prism
    • ☐ Square-based pyramid
    Check

15. 15. How are a triangular prism and a triangle-based pyramid similar and different?

    • They are the same shape.
    • The pyramid has 2 triangles and 3 rectangles.
    • Both have triangular faces, but the prism also has 3 rectangles while the pyramid's faces are all triangles.
    • Both have only rectangular faces.
    Check