Math Patterns

In our daily life there are many types of patterns around us. We see them on curtains floor, on clothes, on window grills etc. We can see some patterns in the nature also. Some patterns are formed on some rules. These patterns repeat.

Observe the patterns and colour the circles:

Patterns and Colour the Circles


Complete the Patterns:

Complete the Patterns


Increasing Pattern:

These patterns keep on increasing.

Complete the patterns in Increasing order:

Increasing Pattern


Decreasing Pattern:

Pattern can also follow the decrease rule.

Complete the patterns in Decreasing order:

Decreasing Pattern


Number Pattern:

Study the patterns and fill in the blank space:

5

10

15

20

 __

 __

 __

 __

2

4

6

8

 __

 __

 __

 __

9

8

7

6

 __

 __

 __

 __

31

33

35

37

 __

 __

 __

 __

1

11

111

____

____

____

____

20

25

30

____

____

____

____

100

900

800

____

____

____

____

25

50

100

____

____

____

____

801

701

601

____

____

____

____

422

522

622

____

____

____

____

16

32

48

____

____

____

____

50

49

48

____

____

____

____


Word Pattern:

Complete the following patterns -

A

B

B

A

__

__

__

__

D

D

I

I

__

__

__

__

A

B

C

A

__

__

__

__

A A

B B

A A

B B

___

___

___

___

AD

DG

GJ

JM

___

___

___

___

A B

C  

DE

F  

A B

C  

D E

F  

___

__

___

__

___

__

___

__

H I

J K

L M

N O

H I

J K

L M

N O

___

__

___

__

___

__

___

__

A

Z

B

Y

__

__

__

__

A Z

A Z

B Z

B Z

__

__

__

__

X

Y

Z

X

__

__

__

__

A B

C D

E F

G H

__

__

__

__

AB

12

CD

23

__

__

__

__


Maths Pattern:

Study the patterns:

Addition Pattern of 5

Addition Pattern of 5


Subtraction Pattern of 4

Subtraction Pattern of 4


Addition Pattern of 7

Addition Pattern of 7


Subtraction Pattern of 7

 Subtraction Pattern of 7


In math patterns we need to find the next counting numbers in the series to maintain an order. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting up or counting down. We need to find the missing numbers that completes are counting.


How to find a missing counting number in a sequence or pattern?

To find a missing counting number in a sequence or pattern:First we need to determine if the order of the counting numbers is in ascending order (from smaller number it’s getting larger in value) or descending order (from larger number it’s becoming smaller in value).

Then we need to find the difference between the numbers that are next to each other.

Now we need to use the difference between the numbers to find the missing number.

For Example:

Find the missing number: 19, 17, ?, 13.

Solution:

Let’s observe step – by – step:

(i) The order of numbers is going downwards or decreasing or descending (from larger number it’s becoming smaller in value).

(ii) The difference between each numbers is 19 - 17 = 2

(iii) Since the order is in descending order subtract 2 from 17. Then the missing number is 15.


The world around us is made of various patterns. We already know about repeating growing and reducing patterns.

A repeating pattern is a sequence of repeating objects, shapes or numbers. Repeating patterns have the same unit repeating. Following are some examples of repeating patterns.

Patterns

Growing or reducing pattern increases or decreases by a constant difference. Following are some examples of growing patterns.

Growing Patterns

The repeating unit is .

Let us consider the following number series.

3, 6, 9, 12, 15, 18, ..........

The repeating unit is + 3.


xy     xxyy     xxxyyy     xxxxyyyy   ..........

The repeating unit is xy.


Now, observe the following patterns and the unit of repeat. 

These are examples of reducing patterns.

Reducing Patterns

100, 85, 70, 55, 40, 25, ..........

xxxx     yyyy     xxx     yyy     xx     yy ..........

A pattern can be created with numbers. The set of numbers which follow a common  rule form a pattern. For example, the sequence 2, 4, 6, 8, 10, 12, ...... can be extended by using the rule of even numbers. Patterns with numbers can also be created by using mathematical operations like addition, subtraction, multiplication and division.


Questions and Answers on Math Patterns:

1. Complete the series by drawing the next 3 figures of the pattern.

Math Patterns

Answers:

1.


2. Choose the right answer to complete the series.

I. 25, 35, 45, ____, 65, 75.

(i) 15          (ii) 40           (iii) 55          (iv) 85


II. 8, 28, 48, _____ , 88.

(i) 38          (ii) 68           (iii) 78          (iv) 98


III. 3, 6, 9, 12, ____ , 18, 21.

(i) 10          (ii) 15           (iii) 17          (iv) 24


IV. 1, 2, 4, 8, _____ , 32, 64.

(i) 30          (ii) 35           (iii) 45          (iv) 16


V. 10, 100, _____ , 10000, 100000

(i) 1000          (ii) 2000           (iii) 1000000          (iv) 10000000


Answers:

2.

I. (iii) 55

II. (ii) 68 

III. (ii) 15

IV. (iv) 16

V. (i) 1000        



3. Complete the given series.

(i) 6, 11, 16, 21, 26, _____, _____, _____, _____.

(ii) 20, 40, 60, 80,  _____, _____, _____, _____.

(iii) 45, 42, 39, 36, 33,  _____, _____, _____, _____.

(iv) 12, 17, 22, 27, 32,  _____, _____, _____, _____.

(v) 5, 10, 20, 40, 80,  _____, _____, _____, _____.

(vi) A, B, C, A, A, B, B,  _____, _____, _____, _____.

(vii) A, Z, B, Y, C,  _____, _____, _____, _____.

(viii) 9, 18, 27, 36, 45,  _____, _____, _____, _____.


Answers:

(i) 31, 36, 41, 46

(ii) 100, 120, 140, 160

(iii) 30, 27, 24, 21

(iv) 37, 42, 47, 52

(v) 160, 320, 640, 1280

(vi) C, C, A, A

(vii) X, D, W, E

(viii) 54, 63, 72, 81

Math Only Math is based on the premise that children do not make a distinction between play and work and learn best when learning becomes play and play becomes learning.

Math patterns worksheets are available for students and even parents and teachers can encourage and suggest the child to practice patterns in math so that they get easily understand the method of math printable patterns while playing. Here we discussed math lesson plans about patterns, if any doubts you can contact us by mail.

However, suggestions for further improvement, from all quarters would be greatly appreciated.

Related Concepts

Patterns in Math

Progressive Patterns

Triangular Numbers Pattern

Square Numbers Patterns

Math Patterns Worksheet

Printable Math Patterns Worksheet

Questions on Patterns



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