# day/dydd 207 at 7puzzleblog.com T he Main Challenge

When listing the first SEVEN 3-digit numbers that do not contain a 0, 1 or 2 as part of their number, what is the total of these listed numbers? The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Which two numbers, when doubled, become square numbers? 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 207 when using Lagrange’s Theorem. How many can you find? The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

12    24    36    48    60    72    84    96    108    120

#12TimesTable The Target Challenge

Can you arrive at 207 by inserting 3910 and 11 into the gaps on each line?

•  (◯×◯–◯)×◯ = 207
•  (◯²–◯–double◯)×◯ = 207   