# day/dydd 327 at 7puzzleblog.com

The Main Challenge

. . . is a tricky question that’s a real mouth-watering prospect for the number puzzle enthusiast.

Using the numbers 1, 2, 3, 4 and 5 once each, with + – × ÷ available, it is possible to make the vast majority of numbers in the range 50-100.

For example, to arrive at 50 and 51, you could do:

• (4+3+2+1)×5 = 50,
• (4×32)×5+1 = 51, and so on . . .

Continuing your calculations, what is the LOWEST number in this range that it is NOT possible to make?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 3rd & 6th columns contain the following fourteen numbers:

4   7   12   15   17   30   35   36   40   49   54   64   80   81

How many square numbers are listed above?

The Factors Challenge

Which of the following numbers are factors of 327?

7    9    11    13    15    17    19    21    None of them

The Mathematically Possible Challenge

Using 56 and 12 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

The Target Challenge

Can you arrive at 327 by inserting 3, 5, 5, 7 and 7 into the gaps below?

•  ((◯+◯)²–◯×◯)×◯ = 327