# day/dydd 201 at 7puzzleblog.com

Th e Main Challenge

Using the numbers 3, 6 and 10 once in each calculation, together with addition and subtraction, find the only FOUR numbers from 1-30 that are mathematically possible to achieve.

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 sum of the multiples of 7 listed above?

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 TEN different ways to make 201 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?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

The Target Challenge

Can you arrive at 201 by inserting 358 and 9 into the gaps on each line?

•  (◯×◯–◯)×◯ = 201
•  (◯+◯)²+◯–◯ = 201

Answers can be found here.

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