2D and 3D Shapes, Polygons, Symmetry & Problem Solving Worksheet for 8-Year-Olds

Instructions

Hello, super geometer! Get your thinking cap on and have fun with these shape challenges. Read each question carefully and write your answer in the space provided. Try your best!

Section 1: 2D and 3D Shapes

1. Is a drawing of a square on paper a 2D or a 3D shape?

Answer: ____________________

2. A party hat is shaped like a cone. Does it have any flat faces? If so, how many?

Answer: ____________________

3. How many edges does a cube have? (An edge is where two faces meet.)

Answer: ____________________

4. Name a 3D shape that has no flat faces, no edges, and no corners.

Answer: ____________________

5. I am a 3D shape. I have two flat circle faces and one curved surface. What shape am I?

Answer: ____________________

6. Is a triangle a 2D or a 3D shape?

Answer: ____________________

7. How many corners (vertices) does a pyramid with a square base have?

Answer: ____________________

8. Look around your room. Name one object that is shaped like a cuboid (a rectangular prism).

Answer: ____________________

9. If you push a sphere, will it roll?

Answer: ____________________

10. A can of soup is a good example of which 3D shape?

Answer: ____________________

Section 2: Polygons (5-10 sides)

11. A polygon with 5 sides is called a _______________.

Answer: ____________________

12. A stop sign is shaped like an octagon. How many sides does it have?

Answer: ____________________

13. If you add one side to a hexagon, what new polygon do you get?

Answer: ____________________

14. How many sides does a decagon have?

Answer: ____________________

15. A polygon with 7 sides is called a _______________.

Answer: ____________________

16. Is a shape with a curved side a polygon? (Yes / No)

Answer: ____________________

17. How many more sides does a nonagon (9 sides) have than a pentagon (5 sides)?

Answer: ____________________

18. A honeycomb is made of which 6-sided polygon?

Answer: ____________________

19. Which has more sides: a hexagon or an octagon?

Answer: ____________________

20. A polygon with 9 sides is called a _______________.

Answer: ____________________

Section 3: Lines of Symmetry

21. A line of symmetry divides a shape into two _______________, mirror-image halves.

Answer: ____________________

22. How many lines of symmetry does a perfect circle have?

Answer: ____________________

23. Does the capital letter 'Z' have any lines of symmetry? (Yes / No)

Answer: ____________________

24. A rectangle (that is not a square) has how many lines of symmetry?

Answer: ____________________

25. An equilateral triangle (where all three sides are equal) has how many lines of symmetry?

Answer: ____________________

26. Think of the capital letter 'H'. Does it have a vertical line of symmetry, a horizontal line of symmetry, or both?

Answer: ____________________

27. What do we call a shape that has no lines of symmetry?

Answer: ____________________

28. How many lines of symmetry does a regular pentagon (all 5 sides are equal) have?

Answer: ____________________

29. Is a diagonal line drawn from one corner to the opposite corner of a rectangle a line of symmetry? (Yes / No)

Answer: ____________________

30. Does the capital letter 'C' have a horizontal or a vertical line of symmetry?

Answer: ____________________

Section 4: Problem Solving

31. Maya drew a shape with 8 sides and 8 corners. What is the name of her polygon?

Answer: ____________________

32. Tim is building with a block that has 6 identical square faces. What 3D shape is he using?

Answer: ____________________

33. A bee's honeycomb is made of hexagons. If a small piece of a honeycomb has 3 hexagons joined together, what is the total number of sides of all 3 hexagons?

Answer: ____________________

34. I am a polygon. I have fewer sides than a decagon (10) but more sides than a heptagon (7). I have an even number of sides. What shape am I?

Answer: ____________________

35. A perfect pizza is cut into 8 equal triangular slices. Does each slice have a line of symmetry? (Yes / No)

Answer: ____________________

36. Sam writes the capital letter 'A'. How many lines of symmetry does it have?

Answer: ____________________

37. A pyramid has a triangular base. How many faces does it have in total? (Count the base and the sides.)

Answer: ____________________

38. Lily has a regular pentagon and a regular hexagon. Which shape has more lines of symmetry?

Answer: ____________________

39. If you place two identical squares perfectly side-by-side, they form a new rectangle. How many lines of symmetry does this new rectangle have?

Answer: ____________________

40. A cube has 12 edges. A square pyramid has 8 edges. How many more edges does the cube have?

Answer: ____________________

Answer Key

Section 1: 2D and 3D Shapes

1. 2D shape
2. Yes, it has one flat face (the circular base).
3. 12 edges
4. Sphere
5. Cylinder
6. 2D shape
7. 5 corners (4 at the base, 1 at the top)
8. Example answers: a book, a box, a drawer, a microwave.
9. Yes
10. Cylinder

Section 2: Polygons (5-10 sides)

11. Pentagon
12. 8 sides
13. Heptagon
14. 10 sides
15. Heptagon
16. No
17. 4 more sides (9 - 5 = 4)
18. Hexagon
19. Octagon
20. Nonagon

Section 3: Lines of Symmetry

21. Identical (or matching)
22. Infinite (many is also an acceptable answer for this age)
23. No
24. 2 lines of symmetry
25. 3 lines of symmetry
26. Both
27. Asymmetrical
28. 5 lines of symmetry
29. No
30. Horizontal

Section 4: Problem Solving

31. Octagon
32. Cube
33. 18 sides (3 x 6 = 18)
34. Octagon (it has 8 sides)
35. Yes
36. 1 line of symmetry (vertical)
37. 4 faces (1 triangular base + 3 triangular sides)
38. The hexagon (it has 6, the pentagon has 5)
39. 2 lines of symmetry
40. 4 more edges (12 - 8 = 4)