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E:\Working\Orange_Education\Math_Genius_3\Open_Files\CHAP_08
               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________





 types of Patterns    •  Number pattern                         •  Letter or word pattern

 There are various types of patterns, such as repeating, increasing, decreasing, changing   Look at the following number patterns  Look at the following patterns.

 direction, a combination of all these, number patterns, etc. All patterns follow a rule.   and identify the rules applied.  (a)  A       C       F       J

   •  Pattern in Shape  (a)  2, 4, 6, 8, 10, 12,...            (b)  ABC       BCD       CDE       DEF

 Increasing shape pattern  Decreasing shape pattern  (b)  5, 8, 11, 14, 17, 20,...  (c)  MOM   DAD   SISTER   BROTHER   MOM   DAD
                 (c)  50, 45, 40, 35, 30, 25,...            Find the rule and write the next term.

                 (d) 10, 20, 30, 40, 50, 60,...


                                                                                                             Logical Thinking
 Rule:  The shape   increases by one each    Rule:  The shape   decreases by one each   maths fun

 time following the shape  .  time.  Draw a line that goes through all the circles. Your line can go left,
   •  Pattern in Size    right, up, or down but not diagonally. Your line  cannot  cross over

 Increasing pattern in size  Decreasing pattern in size  any part of the line you have already drawn and you cannot turn
                         in a blank circle.




 Rule:  The size of the circle increases  Rule:  The size of the square reduces   Practice time 8B
 gradually.  gradually.  1.  Tick () what will come next in the following patterns.

 •
   •  Increasing pattern in number as well    Changing direction pattern
 as in size        (a)



                   (b)
 Rule:  A larger circle is added each time.  Rule:  There is a change in direction and
 repetition in the pattern.

   •  Combination of pattern  (c)

 Experiential Learning
 Project
              2.  Complete the patterns.
 Nature is full of patterns and some natural
 objects  or creatures are symmetrical   (a)  20 2200 222000 20 2200 _____ _____ _____ _____

 Rule:  This pattern follows a repetition,   too. Draw any three symmetrical natural
 changing direction and increase in   things that makes a pattern.  (b)

 number.                                                            _____ _____ _____ _____
              3.  Extend the following pattern.
 Think Tank  Logical Thinking
 Look at the pattern and colour the next squares.

                                                                            _______            _______            _______





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