# day/dydd 349 at 7puzzleblog.com

The Main Challenge

Using the numbers 4, 4 and 8 once each, with + – × ÷ available, what is the lowest whole number it is not possible to achieve?

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 2nd & 3rd columns contain the following fourteen numbers:

2   4   10   12   15   16   17   33   35   45   48   70   80   81

How many pairs of numbers have a sum of 50?

The Factors Challenge

Which of the numbers below are factors of 349?

3    5    7    9    11    13    15    17    19    None of them

The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

#8TimesTable

The Target Challenge

Can you arrive at 349 by inserting 6, 7, 8, 9 and 10 into the gaps below?

•  (◯²+◯²)×³√◯–(◯+◯) = 349

Answers can be found here.

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