# Missing numbers

The hexagon below is almost complete but there are 3 missing numbers. Try replace the question marks!

Hint

starts at 0, ends at 12.

Hint2:

0 corresponds to 1.

Hint3

It's a number sequence, starting with 0 and ends at 12(note: there are 12 different sections.)

Are these the missing numbers:

42, 72, 110

The pattern would be:

Start with 1 in the innermost upper-right box, then fill each sequential number into the clockwise-adjacent box in the same ring.
On the 4th box of the ring, move to the adjacent outer ring box and continue filling in.
Then, for each gray square, multiply by the previous index value.

1 x 0
2
3 x 2
4
5
6 x 5
7 x 6
8
9 x 8
10
11 x 10
12

A slightly different pattern would be:

210, 72, 110
If you multiply by the previous box's value instead of the original number (7 x 30 instead of 7 x 6)

• Yes, the 1st pattern is correct! The missing numbers are indeed 42, 72, 110. I thought of it like this though: 7^2-7, 9^2-9, 11^2-11. But obviously that gives the exact same answer :D So, well done! – Prim3numbah Mar 4 '20 at 17:54

The sum of the numbers in the middle hexagon: 30+5+8+1=44

The sum of the inside hexagon: 4+6+2+0=12

The sum of the outer hexagon: 10+1+12+9=32

So the sum of the middle hexagon is equal to the sum of the inner and outer hexagons.

• No, not the correct answer.. i'll add another hint today. – Prim3numbah Mar 4 '20 at 13:04