# day/dydd 235 at 7puzzleblog.com T he Main Challenge

You’ve rolled the numbers 4, 5 and 5 with three dice.  Using these once each, with + – × ÷ available, find the only FOUR target numbers from 1-10 that it is possible to make. 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 of the playing board contain the following fourteen numbers:

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

Which even number, when halved, becomes a cube number? 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 are NINE different ways to make 235 when using Lagrange’s Theorem. How many of them can you find? The Mathematically Possible Challenge

Using 24 and once each, with + – × ÷ available, which is the ONLY number that is NOT possible to make from the list below?

2    4    6    8    10    12    14    16    18    20

#EvenNumbers The Target Challenge

Can you arrive at 235 by inserting 2, 4, 6, 8 and 10 into the gaps below?

•  treble◯×◯–(◯+◯)÷◯ = 235   