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DIY Challenge 4: How far can you go?

If you had cards from 1 to 10, would it be possible to divide them into 3 groups of equal value?

What if you had cards from 1 to 20 or 1 to 100?

What students worked out7

  • Student 10

    Sum of cards from 1 to 10 is 55.
    55 is not divisible by 3.
    Hence, it is not possible to divide the cards in 3 groups of equal value.

  • Student 4

    Correct sir. If we divide 55 by 3, we would get a decimal answer.

  • Student 1

    1 plus numbers to 10=55 and 55/3= 18.3 so therefor we cannot divide numbers 1 to ten in 3 equal groups.

  • Student 3

    not possible for 1 to 10

    1 to 20 is possible

    but sir there are no cards labeled 11 to 20

  • Student 6

    No sir 1-10 is not possible as it an even number it cant be dived into 3 equal groups.
    1-20 cards is also not possible

  • Student 2

    1-10 is not possible(as 55 cannot be divided by 3)
    1-100 is not possible as 5050 cannot be divided by 3
    1-20 is possible as 420 is divided by 3

  • Student 5

    It’s not possible cause The Sum of cards from 1 to 10 is 55
    and 55 is not divisible by 3.