fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal
TRANSCRIPT
![Page 1: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/1.jpg)
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 2: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/2.jpg)
•The sum of the three sides is either even, or odd.
Even: e + e + e e + o + o
Odd: o + o + o o + e + e
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 3: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/3.jpg)
Even: e + e + e e + o + o
Odd: o + o + o o + e + e
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 4: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/4.jpg)
Even: e + e + e e + o + o
Odd: o + o + o o + e + e
= 2+4+6 = 12
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 5: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/5.jpg)
Even: e + e + e = 2+4+6 = 12
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 6: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/6.jpg)
Even: e + e + e = 2+4+6 = 12
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 7: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/7.jpg)
Even: e + e + e = 2+4+6 = 12
e + e = o + o
24
6
15
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 8: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/8.jpg)
Even: e + e + e = 2+4+6 = 12
e + e = o + o
4
26
35
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 9: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/9.jpg)
Even: e + e + e = 2+4+6 = 12
e + e = o + o
2
46
1
3
5
Not possible!
2 must be placed in the middle.
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 10: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/10.jpg)
6
2
4
Even: e + e + e = 2+4+6 = 12
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 11: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/11.jpg)
6
2
4 3
1
5
Even: e + e + e = 2+4+6 = 12
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 12: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/12.jpg)
Even: e + e + e e + o + o
Odd: o + o + o o + e + e
= 2+4+6 = 12
= 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 13: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/13.jpg)
Odd: o + o + o = 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 14: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/14.jpg)
e + e = o + o
Odd: o + o + o = 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 15: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/15.jpg)
e + e = o + o 6
21
53
Odd: o + o + o = 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 16: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/16.jpg)
e + e = o + o
3
42
51
Odd: o + o + o = 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 17: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/17.jpg)
e + e = o + o
51
3
Not possible!
5 must be placed in the middle!
Odd: o + o + o = 1+3+5 = 9
6
4
2
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 18: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/18.jpg)
1
5
3
Odd: o + o + o = 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 19: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/19.jpg)
1
4
6 5
2 3
Odd: o + o + o = 1+3+5 = 9
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 20: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/20.jpg)
Even: e + e + e e + o + o
Odd: o + o + o o + e + e
= 2+4+6 = 12
= 1+3+5 = 9
odd at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 21: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/21.jpg)
e + o = e + o
1
354 6
Even: e + o + o odd at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 22: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/22.jpg)
1
5 3
Even: e + o + o odd at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 23: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/23.jpg)
1
2
4 6
5 3
Even: e + o + o odd at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 24: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/24.jpg)
Even: e + e + e e + o + o
Odd: o + o + o o + e + e
= 2+4+6 = 12
= 1+3+5 = 9
odd at vertex
even atvertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 25: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/25.jpg)
e + o = o + e
2
463 5
Odd: o + e + e even at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 26: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/26.jpg)
2
3 5
6 4
Odd: o + e + e even at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 27: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/27.jpg)
2
1
3 5
6 4
Odd: o + e + e even at vertex
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 28: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/28.jpg)
6
3
2 1
4 5
1
4
6 5
2 3
1
2
4 6
5 3
2
1
3 5
6 4
Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
![Page 29: Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal](https://reader035.vdocuments.us/reader035/viewer/2022081400/551abbb7550346b2288b508b/html5/thumbnails/29.jpg)
Choosing numbers randomly does not quickly lead to an answer. Solving the problem requiresreasoning and simple computations.
Prerequisites:
• Addition & Subtraction;• Understanding of even and odd numbers.
• The problem is cracked when students deduce additional facts from the limited information provided.