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                            COUNT TRICK

1. Multiplication by 5
   It's often more convenient instead of multiplying by 5 to multiply
   first by 10 and then divide by 2.


   For example:

   137 x 5 = …
   137 · 10 = 1370 / 2 = 685



2. Division by 5
   Similarly, it's often more convenient instead to multiply first by 2
   and then divide by 10.


   For example:

   1375 : 5 = …
   1375 . 2 = 2750 / 10 = 275



3. Division/multiplication by 4
   Replace either with a repeated operation by 2.


   For example:

   124 : 4 = …
   124 / 2 = 62 / 2 = 31

                                       © Aidia Propitious            1
www.aidianet.blogspot.com




   124 x 4 = …
   124 · 2 = 248 · 2 = 496



4. Division/multiplication by 25
   Use operations with 4 instead.


   For example:

   3750 : 25 = …
   3750 . 2 = 7500 . 2 = 15 000 / 100 = 150


   37 x 25 = …
   37 · 100 = 3700 / 2 = 1850 / 2 = 925



5. Division/multiplication by 8
   Replace either with a repeated operation by 2.


   For example:

   124 x 8 = …
   124 · 2 = 248 · 2 = 496 · 2 = 992


   1240 : 8 = …
   1240 : 2 = 620 : 2 = 310 : 2 = 155



                                    © Aidia Propitious   2
www.aidianet.blogspot.com




6. Division/multiplication by 125
   Use operations with 8 instead.


   For example:

   1625 : 125 = …
   1625 . 2 = 3250 . 2 = 6500 . 2 = 13 000 / 1000 = 13


   37 x 125 = …
   37 · 1000 = 37 000 / 2 = 18 500 / 2 = 9250 / 2 = 4625



7. Quadrate of tens
   Tens gives symbol “a” and ones gives symbol “b”.

                    Hundreds           Tens            Ones

         a2                 a2
       2 a.b                       2 a.b
         b2                                              b2


   For example:

   132 = …                      a=1     ;     b=3

                    Hundreds           Tens            Ones

          12                1
     2 (1)(3)                           6
          32                                              9
       Result                          169


                                              © Aidia Propitious   3
www.aidianet.blogspot.com




   372 = …                      a=3     ;        b=7

                    Hundreds            Tens               Ones

          32                9
     2 (3)(7)               4            2
          72                             4                   9
        Sum                 13           6                   9
       Result                          1369



8. Quadrates of hundreds
   Separate hundreds into two part, tens (first 2 numbers) and
   ones (the last number)


   For example:

   1022 = …                        a = 10       ;     b=2

                         Ten
                                       Thousands           Hundreds   Tens   Ones
                      Thousands
          102                   1            0                   0
     2 (10)(2)                                                   4     0
          22                                                                  4
         Sum                    1            0                   4     0      4
       Result                                        10404




                                    Good Luck !!



                                                 © Aidia Propitious                 4

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Counttrick

  • 1. www.aidianet.blogspot.com COUNT TRICK 1. Multiplication by 5 It's often more convenient instead of multiplying by 5 to multiply first by 10 and then divide by 2. For example: 137 x 5 = … 137 · 10 = 1370 / 2 = 685 2. Division by 5 Similarly, it's often more convenient instead to multiply first by 2 and then divide by 10. For example: 1375 : 5 = … 1375 . 2 = 2750 / 10 = 275 3. Division/multiplication by 4 Replace either with a repeated operation by 2. For example: 124 : 4 = … 124 / 2 = 62 / 2 = 31 © Aidia Propitious 1
  • 2. www.aidianet.blogspot.com 124 x 4 = … 124 · 2 = 248 · 2 = 496 4. Division/multiplication by 25 Use operations with 4 instead. For example: 3750 : 25 = … 3750 . 2 = 7500 . 2 = 15 000 / 100 = 150 37 x 25 = … 37 · 100 = 3700 / 2 = 1850 / 2 = 925 5. Division/multiplication by 8 Replace either with a repeated operation by 2. For example: 124 x 8 = … 124 · 2 = 248 · 2 = 496 · 2 = 992 1240 : 8 = … 1240 : 2 = 620 : 2 = 310 : 2 = 155 © Aidia Propitious 2
  • 3. www.aidianet.blogspot.com 6. Division/multiplication by 125 Use operations with 8 instead. For example: 1625 : 125 = … 1625 . 2 = 3250 . 2 = 6500 . 2 = 13 000 / 1000 = 13 37 x 125 = … 37 · 1000 = 37 000 / 2 = 18 500 / 2 = 9250 / 2 = 4625 7. Quadrate of tens Tens gives symbol “a” and ones gives symbol “b”. Hundreds Tens Ones a2 a2 2 a.b 2 a.b b2 b2 For example: 132 = …  a=1 ; b=3 Hundreds Tens Ones 12 1 2 (1)(3) 6 32 9 Result 169 © Aidia Propitious 3
  • 4. www.aidianet.blogspot.com 372 = …  a=3 ; b=7 Hundreds Tens Ones 32 9 2 (3)(7) 4 2 72 4 9 Sum 13 6 9 Result 1369 8. Quadrates of hundreds Separate hundreds into two part, tens (first 2 numbers) and ones (the last number) For example: 1022 = …  a = 10 ; b=2 Ten Thousands Hundreds Tens Ones Thousands 102 1 0 0 2 (10)(2) 4 0 22 4 Sum 1 0 4 0 4 Result 10404 Good Luck !! © Aidia Propitious 4