Math Patterns

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.

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