# day/dydd 279 at 7puzzleblog.com

The Main Challenge

Try this number trail involving 14 arithmetical steps.  Start with 16, then:

• ÷4
• one-half of this
• ×7
• –7
• ×8
• +7
• 1/10 of this
• –2
• ×13
• one-third of this
• ÷2
• +43
• 1/7 of this

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 3rd & 5th rows contain the following fourteen numbers:

6   7   13   16   21   25   36   42   45   50   66   80   81   84

From the list, how many multiples of 5 are present?

The Factors Challenge

Which of the following numbers are factors of 279?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

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

7    14    21    28    35    42    49    56    63    70

#7TimesTable

The Target Challenge

Can you arrive at 279 by inserting 2, 4, 6, 8 and 10 into the gaps below?

•  (◯³÷◯)+(◯÷◯)³+³√◯ = 279