Patterns Worksheets | Number Patterns & Patterns in Math

A pattern is a sequence of numbers, shapes, colors, letters, or objects that follows a particular rule. A number pattern is a sequence of numbers that changes according to a rule, such as adding, subtracting, multiplying, or dividing by the same number. To identify a pattern, look carefully at what changes from one item to the next and find the rule that is repeated. Growing patterns increase, while decreasing patterns become smaller. Some patterns are repeating patterns, such as red, blue, red, blue. Patterns can also use shapes and colors, such as circles, squares, triangles, or different colored objects. Practicing patterns helps students develop logical thinking, observation, problem-solving, and number skills. These patterns worksheets provide practice with number sequences, growing and decreasing patterns, repeating patterns, and shape and color patterns, helping students recognize rules and complete patterns with confidence.

What Is a Pattern? 

A pattern is a sequence of numbers, shapes, colors, letters, or objects that follows a specific rule or order. Patterns may repeat, grow, or decrease. By looking carefully at what changes from one part to the next, we can find the rule and predict what comes next. Learning patterns helps students develop logical thinking, observation, and problem-solving skills.

Learn more about patterns in numbers.

How to Find a Number Pattern?

Steps to Find a Number Pattern

Step I: Look at the first few numbers.
Step II: Check whether the numbers are increasing or decreasing.
Step III: Find the difference between consecutive numbers.
Step IV: Check whether the numbers are being multiplied or divided.
Step V: Identify the rule.
Step VI: Use the rule to find the missing numbers.

Play Pattern Drag & Drop Game:

Practice the questions given in the worksheet on patterns in numbers. In daily life we see so many patterns around us but, here we will find the different types of patterns made by numbers.

Patterns Worksheets for 3rd Grade:

These patterns worksheets are designed to help 3rd grade students practice number sequences, growing patterns, repeating patterns, shape patterns, and other mathematical patterns.

1. Patterns in numbers:

(i) 01,  11,  21,  31,  41,  ……….,  ……….,  ……….

(ii) 02,  04,  06,  08,  10,  12,  14,  ……….,  ……….,  ……….

(iii) 05,  07,  09,  11,  13,  15,  ……….,  ……….,  ……….

(iv) 50,  55,  60,  65,  70,  75,  ……….,  ……….,  ……….

(v) 800,  80,  8,  ……….,  ……….,  ……….

(vi) 8,  80,  800,  8000,  ……….,  ……….,  ……….

2. Continue the growing patterns of the numbers:

(i) 31,  36,  41,  46,  ……….,  ……….,  ……….

(ii) 8,  32,  40,  48,  56,  ……….,  ……….,  ……….

(iii) 9,  18,  27,  36,  45,  ……….,  ……….,  ……….

(iv) 15,  18,  21,  24,  ……….,  ……….,  ……….

3. Complete the given pyramids. First one is done for you:

4. Fill the color in the empty grid to complete the
pattern:

5. Complete the series:

6. Complete the series by putting right number of dots in
the last figure:

7. Make the series by following the pattern:

8. There are some growing patterns of
numbers. Find the forward number, write them in the blank spaces and also find
out the numbers which are added to get the next one.

(i)    0,      3,      9,      18,      ……….,     ……….,      ……….,

       (3)     (6)     (9)    (12)      (15)      
……….,      ……….,

(ii)    0,      2,      6,     
12,      ……….,      ……….,     
……….,

       (2)     (4)    
(6)     (8)      ……….,     
……….,      ……….,

(iii)   1,      3,      7,     
13,      ……….,      ……….,     
……….,

       (2)     (4)    
(6)     (8)      ……….,     
……….,      ……….,

(iv)    2,      3,      6,     
11,      18,      ……….,     
……….,      ……….,

        (1)     (3)    
(5)    (7)       (9)      ……….,      ……….,      ……….,

(v)   7,      12,     
17,      22,      27,       ……….,      ……….,      ……….,

       (5)      (5)      (5)    
 (5)       (5)     
……….,      ……….,      ……….,

(vi)   42,    49,    56,    63,    70,    77,    
……….,      ……….,      ……….,

        (7)    (7)     (7)    (7)    (7)    (7)      ……….,      ……….,     
……….,

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

10. Draw the next figure in the pattern.

11. Here is given the numbers continued from 1 to 100 in 10 × 10 square:

Discover the patterns and find whether the following are true and false:

(i) All the numbers in the first row end with 1, all the numbers in the second row end with 2 and so on.

(ii) Leaving out the numbers in the 10th row all the numbers in the columns have in ten’s place 0, 1, 2, 3, ………….., 9, respectively and in every column the numbers at one’s place begin with 1 and end with 9.

(iii) Numbers in each column increase by 1.

(iv) Numbers in each row increase by 10.

(v) All the numbers of each row beginning with 1, 3, 5, 7 and 9 are odd numbers.

(vi) All the numbers of each row beginning with 2, 4, 6, 8 and 10 are odd numbers.

12. Complete the given series:

(i) 10, 20, 40, 80, …….., ……..

(ii) 200, 100, 50, ……..

(iii) 63, 56, 49, 42, …….., …….., …….., ……..

(iv) 6, 9, 12, 15, …….., …….., …….., ……..

(v) 11, 22, …….., 44, …….., …….., 77

(vi) A, B, B, C, C, C, D, …….., …….., …….., ……..

(vii) 1, 3, 9, 27, …….., 243

(viii) 6, 7, 9, 10, 12, 13, 15, …….., …….., …….., ……..

(ix) A, B, C, C, D, D, E, E, E, ……..

(x) 6, 12, 18, 24, …….., …….., …….., ……..

Answers for the worksheet on patterns are given below to check the exact answers of the above questions on continuing patterns.

 

Answers:

1. (i) 51,  61,  71

(ii) 16,  18,  20

(iii) 17,  19,  21  

(iv) 80,  85,  90

(v) 800,  80,  8

(vi) 80000,  800000,  8000000

2. (i) 51,  56,  61

(ii) 64,  72,  80

(iii) 54,  63,  72

(iv) 27,  30,  33

3. (ii) 45, 36, 81

(iii) 35, 59, 94

(iv) 4, 9, 11

4.

5.

6.

7. 

8. (i) 30, 45, 63

(ii) 22, 34, 48

(iii) 21, 31, 43

(iv) 27, 38, 51

(v) 32, 37, 42

(vi) 84, 91, 98

9.

10.

11. (i) True

(ii) True

(iii) True

(iv) True

(v) True

(vi) False

12. (i) 160, 320

(ii) 0

(iii) 35, 28, 21, 14

(iv) 18, 21, 24, 27

(v) 33, 55, 66

(vi) D,D,D,D, E, E, E, E, E

(vii) 81

(viii) 16, 17, 19, 20

(ix) F, F, F, G, G, G, G, H, H, H, H

(x) 30, 36, 42, 48

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