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CBSE Class 3  >  Class 3 Notes  >  Mathematics  >  Worksheet Solution: Shapes and Patterns

Worksheet Solution: Shapes and Patterns

Question 1: Using the dot grid given below, draw some patterns of your own choice:

Worksheet Solution: Shapes and Patterns

Ans: Try simple, repeated shapes made from the dots. For example:
• Make a zigzag line across the grid by joining alternate dots.
• Make a square spiral by joining dots to form a small square, then a larger square around it, and so on.
• Make a symmetric design by drawing the same pattern on the left and right of a middle line.
Colour each repeated unit the same way so the pattern looks clear and neat.

Question 2: Using the square paper given below, draw some patterns of your own choice. Don't forget to colour the patterns:

Worksheet Solution: Shapes and Patterns

Ans: Use the squares to make repeated shapes. For example:
• Colour alternate squares to make a checkerboard pattern.
• Make diagonal stripes by colouring the squares along each diagonal the same way.
• Make a staircase pattern by colouring 1 square in the first row, 2 squares in the next, 3 in the next, and so on.
Use two or three colours and repeat the same small design across the paper to form a pattern.

Question 3: Observe and write what comes next:

Worksheet Solution: Shapes and Patterns

Question 4: Identify the rule and write the next four numbers for each pattern:

  • 119, 128, 137, 146, 155, 164, 173, 182.
  • 100, 95, 90, 85, 80, 75, 70, 65.
  • 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
  • 9999, 9898, 9797, 9696, 9595, 9494, 9393, 9292.
  • 5, 10, 20, 40, 80, 160, 320, 640.

Ans:
119, 128, 137, 146, 155, 164, 173, 182.
Explanation: Add 9 each time. 146 + 9 = 155, then +9 → 164, +9 → 173, +9 → 182.
100, 95, 90, 85, 80, 75, 70, 65.
Explanation: Subtract 5 each time. 85 - 5 = 80, then -5 → 75, -5 → 70, -5 → 65.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
Explanation: This is the Fibonacci-type rule for young learners: each number is the sum of the two before it. 5 + 8 = 13, 8 + 13 = 21, 13 + 21 = 34, 21 + 34 = 55.
9999, 9898, 9797, 9696, 9595, 9494, 9393, 9292.
Explanation: Subtract 101 each time (or see it as tens and units decreasing by 1 while thousands and hundreds stay the same pattern). 9696 - 101 = 9595, and so on.
5, 10, 20, 40, 80, 160, 320, 640.
Explanation: Multiply by 2 each time. 40 × 2 = 80, 80 × 2 = 160, 160 × 2 = 320, 320 × 2 = 640.

Question 5: Extend the following patterns:

Worksheet Solution: Shapes and Patterns

Question 6: Fill in the blanks:

  • AC, BD, CE, DF, EG, FH.
  • 212 - 210, 456 - 460, 374 - 370, 645 - 647.

212 - 210 = 2. 456 - 460 = - 4. 374 - 370 = 4. 645 - 647 = -2.

  • 5, 6, 8, 11, 15, 20, 26.
  • A98, 887, C76,  065, E54 
  • 901, 802, 703, 604, 505 

Ans:
1) AC, BD, CE, DF, EG, FH.
Explanation: Both letters move forward by one in each pair. The first letters go A → B → C → D → E → F and the second letters go C → D → E → F → G → H.
2) 212 - 210 = 2; 456 - 460 = -4; 374 - 370 = 4; 645 - 647 = -2.
Explanation: Subtract the second number from the first. If the first is smaller, the result is negative (for example 645 - 647 = -2).
3) 5, 6, 8, 11, 15, 20, 26.
Explanation: The gaps increase by 1 each time: +1 (5→6), +2 (6→8), +3 (8→11), +4 (11→15), +5 (15→20), +6 (20→26).
4) A98, B87, C76, D65, E54. (Given entry C76 is correct.)
Explanation: The letters go A, B, C, D, E (each next letter), and the two-digit numbers fall by 11 each time: 98, 87, 76, 65, 54. The given form C76 fits this rule.
5) 901, 802, 703, 604, 505.
Explanation: The hundreds digit decreases by 1 each time (9, 8, 7, 6, 5) while the last two digits increase 01, 02, 03, 04, 05. So 901 → 802 → 703 → 604 → 505.

Question 7: Draw the next figures that follow the pattern:

Worksheet Solution: Shapes and Patterns

Ans: 

Worksheet Solution: Shapes and Patterns
The document Worksheet Solution: Shapes and Patterns is a part of the Class 3 Course Mathematics for Class 3.
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FAQs on Worksheet Solution: Shapes and Patterns

1. What are the basic shapes covered in shapes and patterns worksheets?
Ans. The basic shapes typically covered in shapes and patterns worksheets include circles, squares, triangles, rectangles, and ovals. These shapes are fundamental for understanding more complex patterns and geometry concepts.
2. How do shapes and patterns help in early childhood education?
Ans. Shapes and patterns are essential in early childhood education as they help children develop spatial awareness, improve problem-solving skills, and enhance their ability to recognize and create visual relationships. Engaging with shapes and patterns also fosters creativity and critical thinking.
3. What activities can be included in a shapes and patterns worksheet?
Ans. Activities in a shapes and patterns worksheet can include drawing shapes, identifying shapes in real-life objects, completing patterns, matching shapes, and coloring activities. These interactive tasks make learning fun and reinforce understanding of the concepts.
4. How can parents assist their children with shapes and patterns homework?
Ans. Parents can assist their children by providing guidance and encouragement while they complete their shapes and patterns homework. They can also engage in hands-on activities, such as creating shape collages or playing pattern games, to reinforce the concepts being taught.
5. What is the importance of recognizing patterns in mathematics?
Ans. Recognizing patterns is crucial in mathematics as it helps students understand relationships between numbers and shapes, predict outcomes, and develop logical reasoning skills. It is foundational for more advanced topics such as algebra and geometry.
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Apr 18, 2026 Last updated
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