# DAY 342: The Main Challenge

. . . is a regular favourite of ours where at least one decimal number is present when trying to arrive at our signature target number, 7.

Using the numbers 0.25, 2, 4 and 6 once each, and with the four arithmetical operations – × ÷ available, can you arrive at 7 using TWO completely different ways? 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

How many pairs of consecutive numbers are listed? The Factors Challenge

Which FOUR numbers below are factors of 342?

2     3     4     5     6     7     8     9 The Mathematically Possible Challenge

Using 29 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 342 by inserting 2, 3, 4, 5 and 5 into the gaps below?

•  (◯²+◯+◯)×(◯²+◯) = 342   