# day/dydd 309 at 7puzzleblog.com

The Main Challenge

This Kakuro-style question invites you to find various number combinations. List the SEVEN different ways of making 12 when adding together three unique digits from 1 to 9.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

Which number, when doubled, becomes a 3-digit number with two of the digits the same?

The Factors Challenge

Which of the following numbers are factors of 309?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100    101    102    103    104    105    106    107    108    109

#Numbers100to109

The Target Challenge

Can you arrive at 309 by inserting 3, 4, 6, 8 and 9 into the gaps below?

•  ((◯+◯)×◯+◯)×half◯ = 309