# day/dydd 203 at 7puzzleblog.com Th e Main Challenge

Starting with the number 7, complete the following sixteen arithmetic steps:

• multiply by ten
• 40 percent of this
• double it
• multiply the digits together
• increase by 20 percent
• divide by three
• increase by 50 percent
• one-third of this
• double it
• square it
• five-sixths of this
• decrease by 10 percent
• divide by three
• increase by 20 percent
• seven-ninths of this 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 1st & 3rd rows of the playing board contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the difference between the sum of the odd numbers and sum of the even 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 EIGHT different ways to make 203 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?

8    16    24    32    40    48    56    64    72    80

#8TimesTable The Target Challenge

Can you arrive at 203 by inserting 347 and 8 into the gaps on each line?

•  (◯×◯–◯)×◯ = 203
•  (◯+◯)²–◯²–double◯ = 203
•  ◯³–◯×(◯³+◯) = 203   