# DAY 244: The Main Challenge

Consider all odd numbers from 1 to 23. Eliminate all single-digit numbers and multiples of 7 as well as numbers that have their two digits adding up to an even number.

Which number is the only one remaining? 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 5th & 7th rows of the playing board contain the following fourteen numbers:

4   6   7   11   16   21   24   27   30   50   70   77   81   84

From the list, what is the sum of the multiples of 4? 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 244 when using Lagrange’s Theorem. How many can you find? The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 25 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

13    26    39    52    65    78    91    104    117    130

#13TimesTable The Target Challenge

Can you arrive at 244 by inserting 4, 9, 16, 25 and 36 into the gaps below?

•  (◯+◯)×√◯×√◯–√◯ = 244 Answers can be found here. Click Paul Godding for details of online maths. This entry was posted in 7puzzleblog.com. Bookmark the permalink.

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