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Patterns in Mathematics Class 6 CBSE Worksheet Free PDF Download with Answers

Discover number sequences, shape patterns, triangular numbers, square numbers and more. 60 questions that train your pattern-spotting skills.

CBSEClass 6
SparkEd Team · Reviewed by Vivek Verma4 April 20267 min read
Patterns in Mathematics Class 6 CBSE Worksheet — SparkEd

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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

Class 6 Maths Worksheet — Free PDF with Answers

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Mathematics Is the Science of Patterns

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. Patterns are the heart of mathematics. The times table is a pattern. The way odd numbers add up to make perfect squares is a pattern. Even the spiral of a sunflower follows a mathematical pattern.

In Class 6, this chapter introduces you to recognising and extending patterns in numbers and shapes. This is not just fun. Pattern recognition is the skill that later helps you write algebraic rules, understand sequences, and even crack competitive exam problems.

This Patterns in Mathematics Class 6 worksheet has 60 questions that will sharpen your ability to spot rules hiding inside sequences.

Beyond this worksheet, SparkEd offers interactive online practice for Patterns In Mathematics with step-by-step solutions and progress tracking — perfect for daily revision.

What Does This Worksheet Cover?

Based on the NCERT Class 6 Patterns chapter:

- Number patterns — finding the rule and the next terms
- Sequences — arithmetic sequences (constant difference), growing patterns
- Triangular numbers — 1, 3, 6, 10, 15, ...
- Square numbers — 1, 4, 9, 16, 25, ...
- Patterns in addition — sum of first nn odd numbers = n2n^2
- Shape patterns — dot patterns, matchstick patterns, growing shapes
- Number relationships — patterns in multiplication tables, Pascal-like structures
- Writing the rule — expressing the nn-th term

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Identify next term, simple number and shape patterns | 20 |
| Level 2 | Find the rule, triangular and square numbers, matchstick patterns | 20 |
| Level 3 | Write general rules, multi-step patterns, reasoning | 20 |

Sample Questions

Level 1 — Warm Up

  1. Find the next three terms: 5, 10, 15, 20, __, __, __
  2. What type of numbers are: 1, 4, 9, 16, 25?
  3. How many matchsticks make 4 squares in a row (each sharing a side with the next)?

Level 2 — Build Confidence

  1. The pattern is: 2, 6, 12, 20, 30, ... What is the rule? Find the next two terms.
  2. Find the 6th triangular number.
  3. Look at the pattern: 1=11 = 1, 1+3=41 + 3 = 4, 1+3+5=91 + 3 + 5 = 9, 1+3+5+7=161 + 3 + 5 + 7 = 16. What is 1+3+5+7+9+111 + 3 + 5 + 7 + 9 + 11?

Level 3 — Push Yourself

  1. A pattern of dots forms triangles: Row 1 has 1 dot, Row 2 has 2 dots, Row 3 has 3 dots. If there are 8 rows, how many dots in total? Can you write a formula?
  2. Find the pattern and fill in the blank: 1×1=11 \times 1 = 1, 11×11=12111 \times 11 = 121, 111×111=12321111 \times 111 = 12321, 1111×1111=?1111 \times 1111 = ?
  3. Meera makes designs with tiles. Design 1 uses 5 tiles, Design 2 uses 8, Design 3 uses 11. How many tiles for Design 20?

How to Crack Pattern Questions

How to Crack Pattern Questions

1. Look at the differences. Write the difference between consecutive terms. If the differences are constant (like 3, 3, 3), it is an arithmetic pattern. If the differences themselves form a pattern, go one level deeper.

2. Check for multiplication. Some patterns grow by multiplying: 2, 6, 18, 54 (each term is 3 times the previous). Not every pattern is additive.

3. Relate to known sequences. Triangular numbers: 1,3,6,10,15,1, 3, 6, 10, 15, \ldots (differences increase by 1). Square numbers: 1,4,9,16,25,1, 4, 9, 16, 25, \ldots (differences are odd numbers). Recognising these saves time.

4. For shape patterns, draw the next one. If matchsticks or dots are involved, physically draw or count the pattern. Then look at how the count changes.

**5. Write the rule using nn.** If Design 1 uses 5 tiles, Design 2 uses 8, Design 3 uses 11, the rule is 3n+23n + 2. Check: when n=1n = 1, 3(1)+2=53(1) + 2 = 5. This connects patterns to algebra.

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Download here: Patterns in Mathematics Class 6 Worksheet

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Related Worksheets

Patterns connect to many areas of maths:

- Algebra Class 6 Worksheet — writing pattern rules as expressions
- Whole Numbers Class 6 Worksheet — properties and number patterns
- Playing with Numbers Class 6 Worksheet — prime numbers and factor patterns

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Download Free Worksheet PDF

45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!