# DAY/DYDD/GIORNO/NAP 365:

The Main Challenge

You have rolled 1, 5 and 6 on your three dice:

Part 1: What is the highest target number in the range 1-30 that is possible to achieve using these three numbers once each, and with + – × ÷ available?

Click on Mathematically Possible to gather more details of our arithmetic and strategy board game.

Part 2: Similar to Part 1, but which whole numbers in the range 1-10 can be made?

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 Top-Left to Bottom-Right diagonal contains the following seven numbers:

3     22     24     48     49     80     84

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

The Factors Challenge

Which numbers below are factors of 365?

15   25   35   45   55   65   75   85   95   None of them

The Mathematically Possible Challenge

Using 48 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

2    3    5    7    11    13    17    19    23    29

The Target Challenge

Can you arrive at 365 by inserting 2, 3, 4, 5 and 6 into the gaps below?

•  (◯²×+◯–◯)×◯ = 365