# day/dydd 24 at 7puzzleblog.com The Main Challenge

Can you arrive at the target answer of 24 by using each of the four numbers 1, 7, 13 and 13 exactly once each, and with + – × ÷ available? 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 2nd & 4th rows contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

Which three different numbers from the list, when added together, make a total of 77? The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There is only ONE way of making 24 when using Lagrange’s Theorem. Can you find it? The Mathematically Possible Challenge

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

40    41    42    43    44    45    46    47    48    49

#NumbersIn40s

The Target Challenge

Can you arrive at 24 by inserting 2, 3, 6 and 8 into the gaps on each line?

•  ◯×◯+◯–◯ = 24
•  (◯–◯)²×◯×◯ = 24
•  (◯+◯)×◯–◯ = 24   