# day/dydd 229 at 7puzzleblog.com

T he Main Challenge

There are five different 24game® challenges below.

For each group of four numbers, your task is to arrive at the target answer of 24 by using each of the four digits exactly once, with + – × ÷ available:

•   1    2    3    4
•   2    3    4    5
•   3    4    5    6
•   4    5    6    7
•   5    6    7    8

All five challenges are possible, can you do them all?

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

What is the total when adding together all the odd 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 TEN different ways to make 229 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 24 and once each, with + – × ÷ available, which FIVE numbers is it 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 229 by inserting 2, 3, 4, 5 and 7 into the gaps below?

•  ◯²×◯+◯²×◯+◯ = 229