# DAY/DYDD/GIORNO/NAP 315: The Main Challenge

Try this 10-step number trail involving the four arithmetical operations and all the numbers from 1 to 10.

Start off with the number 27, then:

•  divide by 3
•  subtract 1
•  multiply by 6
•  ÷10
•  +8
•  –9
•  ×4
•  ÷7 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

How many multiples of 5 are listed? The Factors Challenge

Which TWO of the following numbers are not factors of 315?

3     5     7     9     11     13     15 The Mathematically Possible Challenge

Using 47 and 11 once each, with + – × ÷ available, which FOUR numbers is it 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 315 by inserting 1357 and 9 into the gaps below?

•  (+)²×double◯+◯×◯ = 315   