MTH/P/4: NUMBER PATTERNS AND SEQUENCES

NUMBER PATTERNS AND SEQUENCES

What are Number Patterns? In Mathematics, number patterns are the patterns in which a list number that follows a certain sequence. Generally, the patterns establish the relationship between two numbers. It is also known as the sequences of series in numbers. LESSON 1 Types of numbers

1. counting numbers
2. even and odd numbers
3. prime and composite numbers.

Multiples of numbers Examples

1. List down all the multiples of 2 less than 12.

M2               1 x 2 = 2  2 x 2 = 4  2 x 3 = 6  2 x 4  = 8  2 x 2 = 10  2 x 6  = 12  M2 less than 12 = {2, 4, 6, 8, 10}

1. List the multiples of 2 between 10 and 20

6 x 2 = 12  7 x 2 = 14  8 x 3 = 16  9 x 4 = 18  M2 between 10 and 20 = {12, 14, 16, 18}

1. List multiples of 9 less than 40.

1 x 9  =  9  2 x 9  = 18  3 x 9  = 27  4 x 9  = 36  =  {9, 18, 27, 36} LESSON 2  📷 LESSON 3  📷 LESSON 4 Finding factors of numbers Examples

1. List all the factors of 6. 2.   List all the factors of 18.

F6       1 x 6  = 6                                       F18     1 x 18  = 18  2 x 6 = 12                                               2 x 9    = 18  =  {1, 2, 3, 6}                                            3 x 6 =  18  = {1, 2, 3, 6, 7, 18}

1. List all the factors of 30.

F 30👉   1 x 30  = 30 2 x 15  = 30 3 x 10  = 30 5  x  6  = 30 = { 1, 2, 3, 5, 6, 10, 15, 30 LESSON 5  Finding common factors Examples Find the common factor of 2 and 4

1. F2 1 x 2  = 2                          F4      1 x 4  = 4

=(1,  2)                                     2 x 2  = 4  =  {1, 2, 4 }  C.F of 2 and 4  = {1, 2}

1. Find the common factors of 12 and 24

F12     1 x 12 = 12              F24  1 x 24  =  24  2 x 6 = 12                             2  x 12  = 24 3 x 4  = 12                             3 x 18   = 24.                                                      4 x 6     = 24 ={ 1,  2,  3,  4,  6,  12} = { 1,  2,  3,  4,  6,  8,  12,  24}  C.F of 12 and 24 = { 1, 2, 3, 4, 6, 12} LESSON 6 Finding  H.C.F of 6 and 9 (Highest Common Factor or Greatest Common Factor) Examples

1. Find the HCF of 6 and 9

F6                                            F9  1 x 6 = 6                                  1 x 9  = 9  2 x 3  = 6                                 3 x 3  = 9  = {1, 2, 3, 6}                                       = {1, 3, 9}  CF  = {1, 3}                               = {1, 3, 9}  H.C.F of 6 and 9 = 3

1. Find the GCF of 7 and 14

F7      1 x 7 = 7                         F14    1 x 4  = 14  = {1, 7}                                     2 x 7 = 14  = {1, 2, 7, 14}  C.F = {1, 7}  H.C.F of 7 and 14 = 7