# day/dydd 305 at 7puzzleblog.com The Main Challenge

Another typical Mathelona challenge taken from our pocket book of number puzzles.

Your task is to make all three lines work out arithmetically by filling the 12 gaps with the following 12 numbers.  Can you successfully complete this?

1     1     2     2     2     3     4     4     5     6     7     8

◯  +  ◯   =     5     =   ◯  –  ◯
◯  +  ◯   =    10    =   ◯  ×  ◯
◯  +  ◯   =     2     =   ◯  ÷  ◯

Full details of our Mathelona number puzzles can be found by clicking the link. 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 6th & 7th rows contain the following fourteen numbers:

4   5   11   12   18   20   24   27   30   33   49   56   70   77

How many multiples of 7 are in the list? The Factors Challenge

Which of the following numbers are factors of 305?

3     5     7     9     11     13     15 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?

1    4    9    16    25    36    49    64    81    100

#SquareNumbers The Target Challenge

Can you arrive at 305 by inserting 5, 6, 7, 8 and 9 into the gaps below?

•  (◯×◯+◯–◯)×◯ = 305   