# day/dydd 254 at 7puzzleblog.com

T he Main Challenge

You have been given the task of manually numbering a 100-page document from 1 to 100.

Which digit will appear least, and how many times?

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 2nd & 6th rows contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

List five pairs of numbers that have a difference of 15.

The Factors Challenge

Which of the following numbers are factors of 254?

2     4     6     8     10     12     14

Today’s Hint: A number is a multiple of 4 if it is still even when halved ]

The Mathematically Possible Challenge

Using 58 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 254 by inserting 1, 3, 5, 7 and 10 into the gaps below?

•  (◯+◯)×²–◯×◯ = 254