Tuesday 22 November 2016

Game of cards

This pupil's cards are all different. There is a number from 1 to 8 on each card.

He has chosen four cards that add up to 20. What are they?
There are seven different possibilities.
Try to find them all. 

Challenge
What if he has three cards that add up to 16?

34 comments:

  1. One possible way could be 6,7,4 and 3.These four nunbers add up to 20.

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  2. Another way is 2+4+5+9.I calculated 2+4=6+5=11+9=20

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  3. Another way is 7+3+2+8=20.I just try to find number bonds to 20 and use it to find out some possibilities

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    Replies
    1. Super idea Ruqayya. This is an excellent example of how knowledge of number bonds can help you solve problems.

      Delete
  4. You can also do 1+8=9+7+4=20

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  5. I did 5+3=8+6=13+7=20

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  6. I calculated 6+3=9+7=16+4=20

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  7. I also found 8+3=11+5=16+4=20

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  8. I also did 6+7=13+5=18+2=20

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  9. I had found all 7 possibilities.If I can do it so can you.

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  10. I had tried the challenge and had gotten 16. I did 7+5=12+4=16

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  11. I also did 8+2+5+1=16

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  12. I tried the challenge and calculated 3+4+7+2=16

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  13. 9+1+6+4=20

    6+4+8+2=20

    2+4+6+8=20

    1+7+4+8=20

    All I did was pick 2 number's in between 1-8 and I added them together, then I took the number away from 20.

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  14. One other way is 7+3+2+8

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  15. A possibility could be 4+3=7+5=12+8=20

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  16. Another possibility is 8+2+4=14+6=20

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  17. Some of the possibilities could be
    4+6+8+2=20
    8+7+2+3=20
    4+5+8+3=20
    1+6+5+8=20

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  18. 2+4=6
    6+5=11
    11+8=19
    19+1=20

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  19. 6x4 so the numbers that you have to count in must be in fours.

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  20. Tofe and Jason 4 Red11:32 am, November 24, 2016

    Here are all 7 ways

    1.8+2+9+1

    2.7+3+4+6

    3.5+8+6+1

    4.7+5+4+1

    5.9+1+7+3

    6.8+7+4+1

    7.9+7+3+1

    Those are all the ways.

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  21. another way is 16+4=20 or 18+2=20 or 17+3=20 or 15+5=20 or 19+1=20 or just try number can to 20.

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  22. One way is 10,5,3,2
    Another way is 9,5,4,2
    Another way is 10,4,5,1
    For the challenge
    10,4,2
    7,5,4
    9,4,3

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  23. These are all the combinations:

    1.8+5+4+3=20
    2.5+6+8+1=20
    3.4+8+2+6=20
    4.4+5+7+4=20
    5.8+7+4+1=20
    6.4+5+6+5=20


    Challenge:4+5+7=16

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  24. Jossie and shaquan 4 blue10:51 am, November 29, 2016

    19+1
    16+4
    10+10
    21-1

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  25. One of the possibilities are 9,5,5,1 The second one 1,4,13,2. The other one is 10,4,5,1. The fourth one is 10,4,3,3 the fifth one is 6,9,3,2
    The sixth one is 4,8,4,4 And the last one is 9,7,3,1.

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  26. The fifth different ways can be:

    9+8=17+3=20

    9+9=18+2=20

    10+5=15+2=17+3=20

    9+6=15+1=16+4=20

    10+4=14+1=15+2=17+2=19+1=20

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  27. I've found many different ways but I just want to show you this one which is:

    6+6+6+2=20

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  28. I think that the challenge could be:

    8+8=16

    8+5=13+3=16

    9+3=12+4=16

    I think that there is many different ways to make 16 by using numbers from 1-8 but it I think that is all the calculations I can make to get the number 16.

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    Replies
    1. Armarnie,make sure you remember it's cards from 1-8

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  29. 5+6=11+4=15+3=18+2=20

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