# day/dydd 313 at 7puzzleblog.com

The Main Challenge

Consider the four groups of numbers 3 3 3, 4 4 4, 5 5 5 and 6 6 6.

There are only six target numbers it is possible to make in the range 10-30 when + – × ÷ is available to use.

One of these is 12, which can be made by doing either 3×3+3 or 4+4+4. Can you find the other FIVE target numbers it is possible to make using one or more of these four groups?

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 2nd & 5th rows contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Which number is the product of two other numbers on the list?

The Factors Challenge

Which of the following numbers are factors of 313?

3     7     9     11     13     17     19     None of them

The Mathematically Possible Challenge

Using 47 and 11 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

9    18    27    36    45    54    63    72    81    90

#9TimesTable

The Target Challenge

Can you arrive at 313 by inserting 1, 3, 5, 7 and 9 into the gaps below?

•  ◯³–(◯–◯)×◯×◯ = 313