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DIY Challenge 5: When is it possible at all?

When is it possible to divide cards into 3 groups whose total is equal? Record your observations in a table. Can you find a pattern?

Number of cards Possible/Not Possible
3
4
5
6
7
8
9 Possible ✅
10
……

What students worked out4

  • Student 3

    3 NP
    4 NP
    5 P
    6 P
    7 NP
    8 P
    9 P
    10 NP

  • Student 6

    5,6,8,9 is possible
    3,4,7,10 is not possible

  • Student 2

    5/6/8/9-p
    3/4/7/10-np

  • Student 5

    3-np
    4-np
    5-p
    6-p
    7-np
    8-p
    9-p
    10-p