DAY 312:

The Main Challenge

By using the formula (a×b)+c, where a b and c are three unique digits from 1-9, one way of arriving at 24 is (5×3)+9, but can you find the only other way of making 24 when using the above rule.

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 & 5th rows contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Which three pairs of numbers all have a difference of 47?

The Factors Challenge

Which is the ONLY one of the following that is not a factor of 312?

2     3     4     6     8     9     12     13

The Mathematically Possible Challenge

Using 47 and 11 once each, with + – × ÷ available, which are the only THREE numbers 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 312 by inserting 2, 3, 4, 6 and 8 into the gaps below?

  •  (◯+◯+◯)×◯×◯ = 312

Answers can be found here.

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