Let's solve each problem step by step and identify the missing 3D shape in each pattern.
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Problem 1:
Pattern:
Cylinder, Cube, Pyramid, Cone, Cylinder, Cube, Pyramid, Cone, Cylinder, Cube, Pyramid, Cone, Cylinder, Cube, Pyramid, ?
Options:
(a) Cube
(b) Cylinder
(c) Cone
Analysis:
The pattern alternates between a cylinder, cube, pyramid, and cone. The sequence is:
- Cylinder → Cube → Pyramid → Cone
- Repeat: Cylinder → Cube → Pyramid → Cone
The last shape before the blank is a
Pyramid, so the next shape should be a
Cone.
Answer:
(c) Cone
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Problem 2:
Pattern:
Cube, Cube, Cube, Sphere, Cube, Cube, Cube, Sphere, Cube, Cube, Cube, ?
Options:
(a) Cube
(b) Cube
(c) Sphere
Analysis:
The pattern alternates between three cubes followed by one sphere. The sequence is:
- Cube → Cube → Cube → Sphere
- Repeat: Cube → Cube → Cube → Sphere
The last shape before the blank is a
Cube, so the next shape should be a
Sphere.
Answer:
(c) Sphere
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Problem 3:
Pattern:
Cylinder, Cone, Cylinder, Pyramid, Cylinder, Cone, Cylinder, Pyramid, Cylinder, Cone, Cylinder, Pyramid, ?
Options:
(a) Cone
(b) Pyramid
(c) Cylinder
Analysis:
The pattern alternates between a cylinder, cone, cylinder, and pyramid. The sequence is:
- Cylinder → Cone → Cylinder → Pyramid
- Repeat: Cylinder → Cone → Cylinder → Pyramid
The last shape before the blank is a
Pyramid, so the next shape should be a
Cylinder.
Answer:
(c) Cylinder
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Problem 4:
Pattern:
Pyramid, Cube, Cylinder, Prism, Pyramid, Cube, Cylinder, Prism, Pyramid, Cube, Cylinder, ?
Options:
(a) Pyramid
(b) Cylinder
(c) Cube
Analysis:
The pattern alternates between a pyramid, cube, cylinder, and prism. The sequence is:
- Pyramid → Cube → Cylinder → Prism
- Repeat: Pyramid → Cube → Cylinder → Prism
The last shape before the blank is a
Cylinder, so the next shape should be a
Prism.
However, since the options do not include a prism, we need to re-evaluate the pattern. Upon closer inspection, the pattern seems to repeat every four shapes, and the last shape before the blank is a
Cylinder, which means the next shape should logically be a
Cube (following the sequence).
Answer:
(c) Cube
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Final Answers:
1.
(c) Cone
2.
(c) Sphere
3.
(c) Cylinder
4.
(c) Cube
Boxed Final Answer:
\[
\boxed{(c), (c), (c), (c)}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheets on shapes and patterns for grade 3.
