# DAY/DYDD/GIORNO/NAP 212: T he Main Challenge

Using the numbers 2, 3 and 3 once each, with + – × ÷ available, can you list the ELEVEN target answers from 1-20 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 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

From the list, what is the total of the factors of 28? 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 SEVEN different ways to make 212 when using Lagrange’s Theorem. How many can you find? The Mathematically Possible Challenge

Using 46 and once each, with + – × ÷ available, which are the FIVE numbers it is possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable The Target Challenge

Can you arrive at 212 by inserting 7911 and 15 into the gaps on each line?

•  ◯×◯+◯×◯ = 212
•  ◯×double◯+◯–◯ = 212   