# DAY/DYDD/GIORNO/NAP 343: The Main Challenge

Follow the rules and eliminate every number, except one.

From the numbers 1-50, eliminate:

• all numbers containing 1, 3, 5 or 7
• even numbers
• square numbers

There is just one number left, which one? 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 3rd & 5th columns contain the following fourteen numbers:

4   8   11   12   14   15   17   18   25   35   44   80   81   84

What is the difference between the highest multiples of 8 and 9? The Factors Challenge

Which is the ONLY number below that is a factor of 343?

3    5    7    9    11    13    15    17    19 The Mathematically Possible Challenge

Using 29 and 12 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 343 by inserting 1, 2, 3, 4 and 5 into the gaps on each line below?

•  (◯+◯+◯–◯–◯)³ = 343
•  (◯×◯×◯–◯×◯)³ = 343   