Patterns

 Mind Maps

Class IV - maths: Patterns
Q) Write Secret code for Z ?

Q) Write Secret code for R ?

Q) Convert 23 12 3 4 5 into word format?

Q) VIJAYA write in numbers ?

Q) Write the equivalent Alphabet for number 19 ?

Q) Find the next two numbers of series 1246,2246,3246?

Q) Find the next four numbers of series 34,36,,38,40?

Q) 221 + 20 = ?

Q) 67 + 3 = ?

Q) Figures through which a line can be drawn to divide them into two equal halves are called _____?

Q) Find the next 4 numbers of series AZ,BY,CX,DW ?

Q) Find the next 4 numbers of series AZB,BYC,CXD,DWE?

Q) MY SCHOOL NAME IS write in numbers format ?

Q) Find the message for 8 15 13 5 19 23 5 5 20 8 15 13 5 ?

Q) Write TODAY IS HOLIDAY in numbers ?

Q) Find the next five numbers of series ABA,CDC,EFE,GHG ?

Q) Find the next four numbers of series 123,456,789,101112?

Q) Find the message for 13 25 1315 20 8 5 18 9 19 2 5 19 20 ?

Q) Numeric code for R?

Q) Write the numeric code for TODAY?

Q) Write the next 3 terms of the series 42 , 40 , 38 , 36

Q) Bb,Cc,Dd,________,_______,________

Q) Convert the below number code in to word by using secret codes? 8 1 22 5 6 21 14

Q) Z1,Y2,X3,________,__________,___________,_________

Q) Convert the below word in to number code by using secret codes? MATHS

Q) 123,456,789,101112,_________,________,__________,__________

Q) HAH,IBI,JCJ,______,_______,______,_____

Q) Identify the pattern and complete the number sequence.
2+4+6=______
2+4+6+8=______
2+4+6+8+10=______
2+4+6+8+10+12=______

Q) IdenWrite the next terms of below series? 7,14,21,24,______,_____,______,_______

Q) Complete the series 45,65,85,105,________,______,_________,______

Q) AZ,BY,CX,DW,___,_______,_______,__________

Q) Identify the pattern and complete the number sequence.
2 Ã— 9 =______
3 Ã— 9 =______
4 Ã— 9 =______
5 Ã— 9 =______

Q) Complete the series 236,246,256,_______,_______,________,______

Patterns

Patterns in Numbers and Letters

If we find the pattern of a series, we can write the next terms of the series.
The general number patterns are the difference between the numbers in the sequence and we use that fact to find out the next numbers.
Look at the series and try to write the next terms:
1) 3   8   13   18   23   28   -----   -----   -----
We see that each term is 5 more than the previous term,
So, we write the next term as 28 + 5 = 33, 33 + 5 = 38, and 38 + 5 = 43.
2) 6   16   26   36   46   -----   -----   -----   -----
The term increases by 10
46 + 10 = 56, 56 +10 = 66, 66 +10 = 76, 76 + 10 = 86
3) 182 172 162 152 ----- ----- -----
The term decreases by 10
152 - 10 = 142, 142 - 10 = 132, 132 - 10 = 122.
Number Towers
Look at these towers:

6 + 7 = 13, 7 + 4 = 11
13 + 11 = 24.
We can see that when we add the 2 numbers near each other, we get the number above the two numbers.

MULTIPLY
1 × 2 =2, 2 × 6 = 12, and then 2 × 12 = 24.
We can see that when we multiply the numbers near each other, we get the number above those numbers.

Secret Codes

Sometimes some information is secret.
So, instead of writing it in normal language, it is coded by writing numbers instead of letters or different letters instead of original letters.
Let us see how each letter can be allotted a number.

So,in number code,

Other codes substitute letters with other letters.
Instead of writing A write Z.
Similarly, instead of B write Y i.e., instead of the first letter write the 26th letter,
Instead of the 2nd letter write the 25th letter.
So, instead of C i.e., 3rd letter, write X i.e., 24th letter.
So, in this code

Many secret codes can be made easily.

To read messages in code, we must know the key to the code i.e., what each letter or number stand for.

Patterns are very useful in finding solutions without calculating.
Look at these patterns:

♦1

In the above pattern, the sum of any two consecutive numbers is the
2nd number × 2 - 1
Example: in 7 + 8 = 15, 15 = 2 × 8 - 1 = 16 - 1.

♦2

In the above example, the sum is thrice the middle number.

Patterns In Tables

♦1

In this pattern, in the ones place we have 5 then 0, and soon.
In the tens place we have, 1 and 1 then 2 and 2, then 3 and 3, 4 and 4 and so on.

♦2

In this pattern, the digits in the ones place go on decreasing till 0 and then again from 9 to 0.
The digits in the tens place go on increasing till 9.
The next numbers again increase from 9 to 10 and 10 to 11 and so on.

TILE PATTERNS:
There are so many ways to show tile patterns on the floor or walls of a room.
Look at these beautiful tiling patterns:

We notice a difference between the tile patterns of a, b, c and d, e, f.
The tiles in pattern a, b, c fit each other without gaps but d, e, f tile patterns have gaps in between.
Shapes that fit together without gaps in between are said to be 'tesselate'.
The tilings in a, b, and c are called 'tesselations'.

RANGOLI PATTERNS:

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