# day/dydd 297 at 7puzzleblog.com

The Main Challenge

This is a typical number puzzle from fellow designer, Kojiro Tominga, who is based in Yokohama, Japan.

Using 5, 5, 5 and 5, with – × ÷ available, can you make each of the target numbers 5, 10, 15, 20, 25, 30 and 35?

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 4th & 5th rows contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

What is double the lowest multiple of 9 found on the list?

The Factors Challenge

Which THREE of the following numbers are factors of 297?

3     5     7     9     11     13     15     17

The Mathematically Possible Challenge

Using 810 and 12 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

100   102   104   106   108   110   112   114   116   118   120

#EvenNumbers

The Target Challenge

Can you arrive at 297 by inserting 1, 2, 3, 4 and 5 into the gaps below?

•  ◯²×(◯+◯)×(◯²–◯) = 297