DAY/DYDD 24: 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   