Worksheet on Patterns

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.

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:

3. 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)      ……….,      ……….,      ……….,

B. 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

I. (ii) 45, 36, 81

(iii) 35, 59, 94

(iv) 4, 9, 11

II.

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.

4. (i) True

(ii) True

(iii) True

(iv) True

(v) True

(vi) True

A. (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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