# DAY/DYDD/GIORNO/NAP 318: The Main Challenge

Using the numbers 2, 5 and 10 once each, with + – × ÷ available, which ELEVEN target numbers from 1-30 are mathematically possible to achieve?

This is a number puzzle associated with our popular board game, Mathematically Possible, an excellent resource involving mental arithmetic and strategy. Click the above link for full details. 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 & 4th columns contain the following fourteen numbers:

3   4   6   12   15   17   20   35   42   63   72   77   80   81

What is the difference between the square roots of the two square numbers shown above? The Factors Challenge

Which TWO numbers below are not factors of 318?

1      2      3      4      5      6 The Mathematically Possible Challenge

Using 47 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

50    51    52    53    54    55    56    57    58    59

#NumbersIn50s The Target Challenge

Can you arrive at 318 by inserting 1, 2, 4, 9 and 10 into the gaps below?

•  (◯+◯)²+(◯+◯)²+◯ = 318   