# day/dydd 3 at 7puzzleblog.com

The Main Challenge

Using 2, 5 and 6 just once each, with + – × ÷ available, which are the only THREE target numbers from 20-30 inclusive that are mathematically possible to achieve?

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

List THREE different numbers that total 100.

The Roll3Dice Challenge

From six of the seven groups of numbers below, it is possible to make today’s target number of 3 when each number in the group is used once and + – × ÷ is available:

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

Which is the only group that CANNOT make 3?

The Mathematically Possible Challenge

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

5    10    15    20    25    30    35    40    45    50

#5TimesTable

The Target Challenge

Can you arrive at 3 by inserting 1, 4, 6 and 8 into the gaps on each line?

•  +◯+–◯ = 3
•  (◯×◯)÷(◯×◯) = 3
•  (◯+◯)÷◯+◯ = 3
•  ◯–(÷◯+) = 3
•  ◯–◯²–◯²÷◯ = 3