# day/dydd 308 at 7puzzleblog.com

The Main Challenge

From the EVEN numbers in the range 2-40 inclusive, eliminate:

• multiples of 4,
• single-digit numbers,
• numbers which are next to (one away from) a prime number or square number.

Which is the only number that remains?

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 & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the product of the two prime numbers?

The Factors Challenge

Which FOUR of the following numbers are factors of 308?

4    5    6    7    8    9    10    11    12    13    14

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

80    81    82    83    84    85    86    87    88    89

#NumbersIn80s

The Target Challenge

Can you arrive at 308 by inserting 2, 4, 6, 8 and 10 into the gaps below?

•  (◯²×◯÷◯)–(◯×√◯= 308