# day/dydd 286 at 7puzzleblog.com

The Main Challenge

Using 1, 3 and 5 once each and with – × ÷ available, which THIRTEEN target numbers from 1-30 are mathematically possible to make?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 7th rows contain the following fourteen numbers:

3   4   10   11   24   27   30   32   35   44   54   60   70   77

Find THREE sets of three different numbers that each have a sum of 77.

The Factors Challenge

Which TWO numbers from the following list are factors of 286?

3     5     7     9     11     13     15     17     19

The Mathematically Possible Challenge

Using 27 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

60    61    62    63    64    65    66    67    68    69

#NumbersIn60s

The Target Challenge

Can you arrive at 286 by inserting 2, 4, 5, 8 and 9 into the gaps below?

•  (◯+◯)×√◯×(◯+◯) = 286

Answers can be found here.

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