Post on 10-Jan-2016
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Fill in the numbers 1-6 in each circle so that the sum of the three numbers
on each side are equal.
•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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.