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Mathematical Riddles for Teens to Complete the Series



Mathematical Riddles for Teens to Complete the Series
Recently I was playing a game in Lumsoity called Fuse Clues. In this game one has to complete the number patterns. The way they have designed this game is that there are many houses in an apartment and in some of these houses electricity is not there which one need to restore by completing the mathematical series. The moment one completes the series correctly, connection gets completed in the game turning on the bulb and lights in the house. 
These mathematical series are very much fun to solve and it helps to improve the logical reasoning by enhancing the ability to recognize patterns, draw conclusions and thus make correct decisions. I thought to creating a post in which one has to complete the mathematical series. One need to have knowledge of only basic mathematics operations to complete these series. Lets see many many of these series one can complete without looking that answers of these riddles. Difficulty of these math brain riddles is from medium to hard. So these can be used by high school students for testing their mathematical skills :). In each of these mathematical series one has to tell what are the next numbers on the series with logical conclusions.
Answers of these series are given at the end of this post. Please do post your answers in the comment section of this post. 

Q1.    2, 20, 200 ,2000, 20,000, ............, ...................

Q2.    25, 49, 169, ....................  ,  ...................... ,    ............

Q3.    5, 13, 25, ................ , ............. , ...............

Q4.    53, 61, 68, 82, 92,........... ,  .....  ,...........

Q5.    26, 682, 2166, 6152,   ............., ............ , ............

Q6.    10, 20, 74, 100, .......   ,  ............  

Q7.    2,  6, 12, 20, ..... , .........., ............

Q8.    7, 16, 34, 70, ...... , ................. , ...............

Q9.    47, 51, 56, 60, .... ... .....,  ....... , ..............

Q10.    27, 64, 125, 216, ......... , .......... , .........

Q11.    12 , 14,  116, 1136 ........  , ........... ,..............

Q12.    22, 44, 88, ............., ...............  ,............

Q13.    101, 1001, 10001, ..............  ,      ....................  , ...............

Q14.    22, 24, 26, 28, .........  ,.............  , ...............

Q15.    34, 43, 54, 45, 36,............  , 67, .............



These Fun Brain Teasers are part of Fun Math Brain Teasers. Below are the next and previous Math Brain Teasers in this series.


Answer of these Math Series riddles is given as below. I have hidden these answers so that one does not see the answers inadvertently. To watch a particular answer do select the text between the visible numbers.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
 A1.            2,00,000,   20,00,000,   2,00,00,000

A2.             256, 169, 256
              The required number is square of the sum of the digits of previous number.

A3.             41 , 61,85

                Explanation: series is as follow:
                1²+2² , 2²+ 3² , 3² + 4², 4²+ 5², 5²+ 6², 6²+7²

A4.         103,107,115

                 Explanation of math series is as follow:
  Required number is last number + sum of the digits of last number
 e.g  53+8=61, 61+7=68, 68+14=82, 82 +10=92, 92+11=103, 103+4=107

A5.          2146, 6132, 2126
                 Explanation of math series brain teaser is as follow:
                 first and last digits of the required number are replacement of the first and last digits of previous  number and central numbers are the sum of the digits of last number.

A6.            202, 244
Explanation of this math series brain teaser is as follow:
Required number  = 1²+3² , 2²+ 4² , 5² + 7², 6²+ 8², 9²+ 11², 10²+12²

A7.             30, 42, 56
                   Explanation of math series brain teaser is as follow:
                   5²+5. 6²+6, 7²+7

A8.           142, 286, 574
                Explanation of this math series riddle is as follow:
                Required number is previous number x 2 +2


A9.               64, 68, 72...
             Explanation of this math series riddle is as follow:
             Required number = previous number + 4.

A10.              343, 512, 729
                    Explanation of this riddle is as follow:
                    Required number  =    cube of 7, 8 , 9

A11.            11936,  1181936,  1164181936

                  Explanation of this math brain teaser is as follow:
                 Required number = each digit of next number is square of the each digit of previous number
                  example:   14=1²2²,   116=1² 4²,    1136=1²1²6²,and so on.

A12.         176, 352, 704
                Explanation of this math series IQ question is as follow:
                       Required number  =    previous number x 2

A13.               100001, 1000001, 10000001
             Explanation of this mathematical series is as follow:
          Required number  =    add 900.9000, 90000, 900000 and so on in previous number

A14.      30, 32, 34
   Explanation of this mathematical series riddle  is as follow:              Required number  =previous number +2 .

A15.     63, 76.
        Explanation of this math logic series is as follow:                          Required number  = required number is replacement of the digits of previous number.

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