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By Swati Singh
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Updated on 25 Jun 2026, 14:57 IST
Class 6 Maths Chapter 1, Patterns in Mathematics, helps students understand how numbers and shapes follow a rule. A pattern is something that repeats or changes in a fixed way. We see patterns in numbers, shapes, designs, nature, calendars, buildings, and even daily life.
This chapter teaches students to observe carefully, find rules, and continue patterns. It builds logical thinking and problem-solving skills. This worksheet on Class 6 Maths Chapter 1 Patterns in Mathematics includes simple questions, number patterns, shape patterns, fill in the blanks, MCQs, short answer questions, long answer questions, and answers.
A pattern is an arrangement of numbers, shapes, objects, or figures that follows a rule.
For example:
2, 4, 6, 8, 10
This is a number pattern. The rule is: add 2 each time.
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Another example:
Triangle, Square, Triangle, Square, Triangle
This is a shape pattern. The rule is: triangle and square repeat one after another.
| Topic | What Students Learn |
| Number Patterns | How numbers follow a rule |
| Odd and Even Numbers | Difference between numbers divisible by 2 and not divisible by 2 |
| Triangular Numbers | Numbers that can be arranged in triangle shape |
| Square Numbers | Numbers that can be arranged in square shape |
| Cube Numbers | Numbers made by multiplying a number three times |
| Visual Patterns | Understanding numbers using dots, shapes, or pictures |
| Shape Patterns | Repeating or growing shapes |
| Rule of a Pattern | Finding how a pattern is made |
| Missing Numbers | Finding the missing term in a sequence |
| Relationship Between Patterns | How one pattern connects with another |
Patterns can be of different types. Some common types are given below.
| Type of Pattern | Example | Rule |
| Addition Pattern | 5, 10, 15, 20 | Add 5 each time |
| Subtraction Pattern | 50, 45, 40, 35 | Subtract 5 each time |
| Multiplication Pattern | 3, 6, 12, 24 | Multiply by 2 each time |
| Odd Number Pattern | 1, 3, 5, 7, 9 | Add 2 each time |
| Even Number Pattern | 2, 4, 6, 8, 10 | Add 2 each time |
| Square Number Pattern | 1, 4, 9, 16, 25 | 1², 2², 3², 4², 5² |
| Cube Number Pattern | 1, 8, 27, 64 | 1³, 2³, 3³, 4³ |
| Shape Pattern | Circle, Square, Circle, Square | Repeating shapes |
A number pattern is a list of numbers arranged according to a rule.
Example 1
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3, 6, 9, 12, 15
Here, we add 3 each time.
So, the next number is:
15 + 3 = 18
Example 2
100, 90, 80, 70
Here, we subtract 10 each time.
So, the next number is:
70 - 10 = 60
Odd and even numbers are very important in patterns.
| Type | Numbers | Rule |
| Even Numbers | 2, 4, 6, 8, 10 | Numbers divisible by 2 |
| Odd Numbers | 1, 3, 5, 7, 9 | Numbers not divisible by 2 |
Example
Even number pattern:
2, 4, 6, 8, 10, 12
Odd number pattern:
1, 3, 5, 7, 9, 11
Both patterns increase by 2.
Triangular numbers are numbers that can be arranged in the shape of a triangle.
Examples:
1, 3, 6, 10, 15, 21
These numbers are formed by adding counting numbers.
| Step | Addition | Triangular Number |
| 1 | 1 | 1 |
| 2 | 1 + 2 | 3 |
| 3 | 1 + 2 + 3 | 6 |
| 4 | 1 + 2 + 3 + 4 | 10 |
| 5 | 1 + 2 + 3 + 4 + 5 | 15 |
So, the first five triangular numbers are:
1, 3, 6, 10, 15
Square numbers are made when a number is multiplied by itself.
| Number | Square | Square Number |
| 1 | 1 × 1 | 1 |
| 2 | 2 × 2 | 4 |
| 3 | 3 × 3 | 9 |
| 4 | 4 × 4 | 16 |
| 5 | 5 × 5 | 25 |
So, the square number pattern is:
1, 4, 9, 16, 25, 3
Cube numbers are made when a number is multiplied by itself three times.
| Number | Cube | Cube Number |
| 1 | 1 × 1 × 1 | 1 |
| 2 | 2 × 2 × 2 | 8 |
| 3 | 3 × 3 × 3 | 27 |
| 4 | 4 × 4 × 4 | 64 |
| 5 | 5 × 5 × 5 | 125 |
So, the cube number pattern is:
1, 8, 27, 64, 125
To find the rule of a pattern, follow these steps:
Example
Find the rule:
7, 14, 21, 28
Difference between the numbers:
14 - 7 = 7
21 - 14 = 7
28 - 21 = 7
So, the rule is: Add 7 each time.
The next number is:
28 + 7 = 35
Do Check: Worksheet on Fractions for Class 6
Choose the correct answer.
1. What is the next number in the pattern?
4, 8, 12, 16, ___
a) 18
b) 20
c) 22
d) 24
Answer: b) 20
2. Which of the following is an even number?
a) 15
b) 21
c) 32
d) 37
Answer: c) 32
3. What is the next number?
5, 10, 15, 20, ___
a) 22
b) 24
c) 25
d) 30
Answer: c) 25
4. Which number is a square number?
a) 10
b) 12
c) 16
d) 18
Answer: c) 16
5. What is 4 × 4?
a) 8
b) 12
c) 16
d) 20
Answer: c) 16
6. Which of the following is a cube number?
a) 6
b) 8
c) 10
d) 12
Answer: b) 8
7. What is the next odd number after 13?
a) 14
b) 15
c) 16
d) 17
Answer: b) 15
8. What is the rule in this pattern?
3, 6, 9, 12
a) Add 2
b) Add 3
c) Add 4
d) Add 5
Answer: b) Add 3
9. Which is the next triangular number after 10?
a) 12
b) 13
c) 15
d) 16
Answer: c) 15
10. What is the next number?
2, 4, 8, 16, ___
a) 20
b) 24
c) 30
d) 32
Answer: d) 32
Fill in the missing numbers.
1. 2, 4, 6, 8, ___
Answer: 10
2. 10, 20, 30, 40, ___
Answer: 50
3. 1, 3, 5, 7, ___
Answer: 9
4. 5, 10, 15, 20, ___
Answer: 25
5. 100, 90, 80, 70, ___
Answer: 60
6. 1, 4, 9, 16, ___
Answer: 25
7. 1, 8, 27, 64, ___
Answer: 125
8. 3, 6, 10, 15, ___
Answer: 21
9. 7, 14, 21, 28, ___
Answer: 35
10. 50, 45, 40, 35, ___
Answer: 30
Write True or False.
1. A pattern follows a rule.
Answer: True
2. 2, 4, 6, 8 is an odd number pattern.
Answer: False
3. 1, 4, 9, 16 are square numbers.
Answer: True
4. 8 is a cube number.
Answer: True
5. Odd numbers are divisible by 2.
Answer: False
6. The next number after 12 in the pattern 3, 6, 9, 12 is 15.
Answer: True
7. Shape patterns can also follow rules.
Answer: True
8. 25 is a square number.
Answer: True
9. 27 is a cube number.
Answer: True
10. The rule of 20, 18, 16, 14 is add 2.
Answer: False
Do Check: Number Play Class 6 Worksheet
Complete the patterns.
| Question | Pattern | Answer |
| 1 | 6, 12, 18, 24, ___ | 30 |
| 2 | 9, 18, 27, 36, ___ | 45 |
| 3 | 11, 22, 33, 44, ___ | 55 |
| 4 | 2, 5, 8, 11, ___ | 14 |
| 5 | 1, 2, 4, 8, ___ | 16 |
| 6 | 30, 25, 20, 15, ___ | 10 |
| 7 | 100, 80, 60, 40, ___ | 20 |
| 8 | 13, 15, 17, 19, ___ | 21 |
| 9 | 4, 9, 14, 19, ___ | 24 |
| 10 | 12, 24, 36, 48, ___ | 60 |
1. What is a pattern?
Answer:
A pattern is an arrangement of numbers, shapes, or objects that follows a rule.
2. Give one example of a number pattern.
Answer:
2, 4, 6, 8, 10 is a number pattern. The rule is to add 2 each time.
3. What are even numbers?
Answer:
Even numbers are numbers that are divisible by 2. Examples are 2, 4, 6, 8, and 10.
4. What are odd numbers?
Answer:
Odd numbers are numbers that are not divisible by 2. Examples are 1, 3, 5, 7, and 9.
5. What are square numbers?
Answer:
Square numbers are numbers made by multiplying a number by itself. For example, 4 × 4 = 16, so 16 is a square number.
6. What are cube numbers?
Answer:
Cube numbers are made by multiplying a number by itself three times. For example, 2 × 2 × 2 = 8, so 8 is a cube number.
7. What are triangular numbers?
Answer:
Triangular numbers are numbers that can be arranged in the shape of a triangle. Examples are 1, 3, 6, 10, and 15.
8. What is the rule in the pattern 12, 24, 36, 48?
Answer:
The rule is to add 12 each time.
9. Find the next number: 1, 4, 9, 16, ___
Answer:
The next number is 25 because the pattern is made of square numbers.
10. Find the next number: 2, 4, 8, 16, ___
Answer:
The next number is 32 because each number is multiplied by 2.
1. Explain the pattern 5, 10, 15, 20, 25.
Answer:
The numbers are increasing by 5 each time.
5 + 5 = 10
10 + 5 = 15
15 + 5 = 20
20 + 5 = 25
So, the rule is add 5.
2. Find the next three numbers in the pattern: 3, 6, 9, 12.
Answer:
The rule is to add 3 each time.
12 + 3 = 15
15 + 3 = 18
18 + 3 = 21
So, the next three numbers are:
15, 18, 21
3. Find the next three square numbers after 25.
Answer:
The square numbers are:
1, 4, 9, 16, 25, 36, 49, 64
The next three square numbers after 25 are:
36, 49, 64
4. Find the next three triangular numbers after 15.
Answer:
Triangular numbers are formed by adding counting numbers.
1, 3, 6, 10, 15
After 15:
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36
So, the next three triangular numbers are:
21, 28, 36
5. Explain the difference between square numbers and cube numbers.
Answer:
Square numbers are formed by multiplying a number by itself.
Example:
4 × 4 = 16
So, 16 is a square number.
Cube numbers are formed by multiplying a number by itself three times.
Example:
4 × 4 × 4 = 64
So, 64 is a cube number.
| Square Number | Cube Number |
| Made by multiplying a number two times | Made by multiplying a number three times |
| Example: 5 × 5 = 25 | Example: 5 × 5 × 5 = 125 |
| 25 is a square number | 125 is a cube number |
1. Complete the shape pattern:
Circle, Square, Circle, Square, Circle, ___
Answer:
Square
2. Complete the shape pattern:
Triangle, Triangle, Square, Triangle, Triangle, Square, ___
Answer:
Triangle
3. What comes next?
Star, Circle, Star, Circle, Star, ___
Answer:
Circle
4. Complete the pattern:
Square, Rectangle, Triangle, Square, Rectangle, Triangle, ___
Answer:
Square
5. What is the rule?
Circle, Circle, Square, Circle, Circle, Square
Answer:
The rule is: two circles followed by one square.
1. Observe the dot pattern:
1 dot, 2 dots, 3 dots, 4 dots, ___ dots
Answer:
5 dots
2. Observe the pattern:
2 stars, 4 stars, 6 stars, 8 stars, ___ stars
Answer:
10 stars
3. Observe the pattern:
1 triangle, 3 triangles, 5 triangles, 7 triangles, ___ triangles
Answer:
9 triangles
4. Observe the pattern:
1 square, 4 squares, 9 squares, 16 squares, ___ squares
Answer:
25 squares
5. Observe the pattern:
3 circles, 6 circles, 9 circles, 12 circles, ___ circles
Answer:
15 circles
Also Check: BODMAS Questions Worksheet for CBSE Class 6
1. Riya is arranging flowers in rows. In the first row, she places 2 flowers. In the second row, she places 4 flowers. In the third row, she places 6 flowers. How many flowers will she place in the fifth row?
Answer:
The pattern is:
2, 4, 6, 8, 10
So, Riya will place 10 flowers in the fifth row.
2. Aarav is making a staircase using blocks. He uses 1 block in the first step, 3 blocks in the second step, 6 blocks in the third step, and 10 blocks in the fourth step. How many blocks will he use in the fifth step?
Answer:
The numbers are triangular numbers:
1, 3, 6, 10, 15
So, Aarav will use 15 blocks in the fifth step.
3. A teacher writes this pattern on the board: 10, 20, 40, 80. What will be the next number?
Answer:
Each number is multiplied by 2.
10 × 2 = 20
20 × 2 = 40
40 × 2 = 80
So, the next number is:
80 × 2 = 160
4. Meena draws 1 square in the first box, 4 squares in the second box, 9 squares in the third box, and 16 squares in the fourth box. How many squares will be in the fifth box?
Answer:
The pattern is:
1, 4, 9, 16, 25
These are square numbers.
So, the fifth box will have 25 squares.
5. Ravi counts the seats in a hall. The first row has 5 seats, the second row has 10 seats, the third row has 15 seats, and the fourth row has 20 seats. How many seats will be in the sixth row?
Answer:
The pattern is:
5, 10, 15, 20, 25, 30
So, the sixth row will have 30 seats.
1. Find the missing number:
2, 6, 12, 20, 30, ___
Answer:
Look at the difference:
6 - 2 = 4
12 - 6 = 6
20 - 12 = 8
30 - 20 = 10
The differences are:
4, 6, 8, 10
The next difference will be 12.
So:
30 + 12 = 42
2. Find the missing number:
1, 4, 9, 16, 25, ___
Answer:
These are square numbers:
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
So, the missing number is 36.
3. Find the next number:
1, 2, 4, 8, 16, ___
Answer:
Each number is multiplied by 2.
16 × 2 = 32
4. Find the missing number:
1, 3, 6, 10, 15, ___
Answer:
These are triangular numbers.
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
So, the missing number is 21.
5. Find the next number:
100, 50, 25, ___
Answer:
Each number is divided by 2.
100 ÷ 2 = 50
50 ÷ 2 = 25
25 ÷ 2 = 12.5
So, the next number is 12.5.
Also Check: Whole Numbers Worksheet for CBSE Class 6
| Section | Answers |
| MCQs | 1-b, 2-c, 3-c, 4-c, 5-c, 6-b, 7-b, 8-b, 9-c, 10-d |
| Fill in the Blanks | 10, 50, 9, 25, 60, 25, 125, 21, 35, 30 |
| True or False | True, False, True, True, False, True, True, True, True, False |
| Missing Numbers | 30, 45, 55, 14, 16, 10, 20, 21, 24, 60 |
| Shape Patterns | Square, Triangle, Circle, Square, Two circles followed by one square |
| Visual Patterns | 5, 10, 9, 25, 15 |
| HOTS | 42, 36, 32, 21, 12.5 |
Solving this worksheet helps students:
Here are some simple tips:
| Tip | Explanation |
| Look carefully | Observe the numbers or shapes first |
| Find the difference | Check how much is added or subtracted |
| Check multiplication | Some patterns multiply by the same number |
| Look for squares or cubes | Some patterns use square or cube numbers |
| Use the rule | Once you find the rule, apply it |
| Practice more | More practice makes patterns easier |
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Class 6 Maths Chapter 1 Patterns in Mathematics is about understanding number patterns, shape patterns, square numbers, cube numbers, triangular numbers, and visual patterns. It teaches students how to find rules and continue a pattern.
A pattern in mathematics is an arrangement that follows a rule. It can be a number pattern, shape pattern, or visual pattern.
Number patterns are sequences of numbers that follow a rule. For example, 2, 4, 6, 8 is a number pattern where 2 is added each time.
Triangular numbers are numbers that can be arranged in the shape of a triangle. Examples are 1, 3, 6, 10, 15, and 21.
Square numbers are made by multiplying a number by itself. For example, 5 × 5 = 25, so 25 is a square number.
Cube numbers are made by multiplying a number by itself three times. For example, 3 × 3 × 3 = 27, so 27 is a cube number.
To find the next number, first find the rule of the pattern. Then use that rule to continue the sequence.
Patterns are important because they help students think logically, understand rules, solve problems, and connect different ideas in mathematics.
Yes, this worksheet is useful for CBSE Class 6 students. It is based on the important concepts of Class 6 Maths Chapter 1 Patterns in Mathematics.