Growing Patterns

A pattern has group of units that follow a rule while repeating or changing. Some patterns grow and some reduce. A growing pattern is the one which increases or decreases by a constant unit, you can find a growing pattern with pictures shapes, objects, numbers etc.

Following are some examples of growing patterns.

Growing Shape Pattern

Growing Shape Pattern

Growing Number Pattern

Growing Number Pattern

Growing Alphabet Pattern

a     A     aa     AA     aaa     AAA     aaaa     AAAA

Reducing Shape Pattern

Reducing Shape Pattern Leaf

Reducing Number Pattern

Reducing Number Pattern

Reducing Alphabet Pattern

AAAA     aaaa     AAA     aaa     AA     aa     A    a

Unit of Repeat

Observe the growing pattern and the unit of repeat in each of the following.

Unit of Repeat Patterns

Observe the reducing pattern and the unit of repeat in each of the following.

Reducing Unit of Repeat Patterns

Questions and Answers on Growing Patterns, Reducing Patterns and Unit of Repeat Patterns:

1. In each of the following identify and write whether growing or reducing pattern. Also, write the unit of pattern.

Growing or Reducing Pattern


Type of Pattern

Unit of Repeat



Unit of Repeat



Unit of Repeat



d c







2. Draw the picture that comes next in the pattern.


Comes Next in the Pattern Answer

3. Complete the pattern. Write whether growing, reducing or repeating pattern.

Complete the Pattern


Complete the Pattern Answer

4. Complete the following growing or reducing number patterns.

(i) 25, 50, 75, 100, 125, _____, _____

(ii) 990, 980, 970, 960, 950,  _____, _____

(iii) 13, 26, 39, 52, 65, 78,  _____, _____

(iv) 808, 707, 606, 505, 404,  _____, _____

(v) 14, 21, 28, 35, 42, 49,  _____, _____

(vi) 10, 20, 30, 40, 50,  _____, _____


4. (i) 150, 175

(ii) 940, 930

(iii) 91, 104

(iv) 303, 202

(v) 56, 63

(vi) 60, 70

3rd Grade Math Worksheets

3rd Grade Math Lessons

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