Fill in the ten circles of the star with the numbers 0 to 9.
The sum of the four numbers in each of the five straight lines is shown in the diagram below.



Please send in your answers using the letters below.
Use the format:
A =
B =
etc.

 

Solution to the Problem:

A = 9
B = 6
C = 5
D = 3
E = 0
F = 4
G = 1
H = 8
I = 2
J = 7

To solve the Star puzzle, note that 28 can only be formed in two ways:
9 + 8 + 7 + 4 = 28 or 9 + 8 + 6 + 5 = 28
The number 8 can only be formed in two ways:
0 + 1 + 2 + 5 = 8 or 0 + 1 + 3 + 4 = 8
The intersection of the two lines whose sums are 28 and 8 is the circle marked F and it must be either a 4 or a 5.
Trying the first possibility, A = 9, H = 8, F = 4, and J = 7.
Then G = 1, E = 0, and D =3.
The number 23 can only be formed in seven ways, and cannot use both a 9 and an 8.
Continue with this logic to solve the star.

Correctly solved by:

1. K. Sengupta Calcutta, INDIA
2. John Funk Ventura, California
3. David & Judy Dixon Bennettsville, South Carolina
4. Carson Glazner Mountain View High School
Mountain View, Wyoming
5. Russell Baker Mountain View High School
Mountain View, Wyoming
6. Landyn Pfeifer Mountain View High School
Mountain View, Wyoming
7. Zach Brown Mountain View High School
Mountain View, Wyoming
8. Kyle Watson Mountain View High School
Mountain View, Wyoming
9. Richard K. Johnson La Jolla, California
10. Halie Gardner Mountain View High School
Mountain View, Wyoming
11. Hailey Granger Mountain View High School
Mountain View, Wyoming