# DAY/DYDD/GIORNO/NAP 4: The Main Challenge

If you allocate each letter of the English alphabet a numerical value as follows: A=1 B=2 C=3 . . . Z=26, the value of the word ‘CAT’ would be 24, simply calculated by doing 3+1+20.

Following this rule, what is the value of the word ‘PUZZLED‘? 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 1st & 2nd rows contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

What is the sum of the multiples of 6? The Roll3Dice Challenge

From six of the seven groups of numbers below, it is possible to make today’s target number of 4 when each number in the group is used once and + – × ÷ is available:

•   1   1   2
•   1   2   4
•   1   4   5
•   2   4   4
•   3   3   3
•   4   4   5
•   5   6   6

Which is the only group that CANNOT make 4?

The Mathematically Possible Challenge

Using 45 and 10 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

The Target Challenge

Can you arrive at 4 by inserting 1, 3, 5 and 7 into the gaps on each line?

•  (+)(+) = 4
•  (+)÷(×) = 4
•  √(×–◯×◯) = 4
•  (◯–◯)×(◯–◯) = 4
•  (◯²×◯+◯)÷◯ = 4  (there are 2 ways)   