# DAY/DYDD/GIORNO/NAP 5: The Main Challenge

This Octaplus puzzle challenges you to find the values of eight letters, A to H, from the given information below. Each letter is a different whole number in the range 1-50:

1.  H is a third of F,
2.  B is half of F,
3.  D minus F is either 15 or 16,
4.  One-seventh of D is a whole number and odd,
5.  E equals H plus D,
6.  G equals E minus B,
7.  C is a fifth of G,
8.  A is equal to 120 minus the sum of the other seven numbers.

Can you find the value of each of the eight letters? 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 difference between the highest and lowest prime numbers? The Roll3Dice Challenge

From six of the seven groups of numbers below, it is possible to make today’s target number of 5 when each number in the group is used once and + – × ÷ is available:

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

Which is the only group that CANNOT make 5?

The Mathematically Possible Challenge

Using 45 and 10 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?

7    14    21    28    35    42    49    56    63    70

#7TimesTable

The Target Challenge

Can you arrive at 5 by inserting 5, 10, 15 and 20 into the gaps on each line?

•  (÷◯)+(÷◯) = 5
•  (–◯)×÷◯ = 5
•  ◯(×÷◯) = 5
•  ◯(–◯)²÷◯ = 5  (there are 2 ways)
•  √((×÷◯)–◯) = 5   