DAY 322:

The Main Challenge

You have the same starting number and final answer, both 32, with lots of arithmetical steps in between, but the 10th step is missing! What should it be if it involves an integer?

Start with the number 32, then:

5  ÷9  +4  ×3  ÷2  ×5  5  ÷2   ?   ×2  +4  ÷3  ×2  =  32

For the real number puzzle enthusiast, there is another possible step which involves multiplying by a decimal number. What is it?

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 1st & 7th columns contain the following fourteen numbers:

5   9   13   21   22   24   27   28   32   50   55   56   60   66

Which multiple of 7, when adding 1 to it, becomes a prime number?

The Factors Challenge

Which is the ONLY number below that is a factor of 322?

4    6    8    10    12    14    16    18

The Mathematically Possible Challenge

Using 56 and 12 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable

The Target Challenge

Can you arrive at 322 by inserting 6, 7, 8, 9 and 10 into the gaps below?

  •  (◯²×(◯–◯)+◯)×◯ = 322

Answers can be found here.

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