# DAY/DYDD/GIORNO/NAP 250: T he Main Challenge

The following clues are given to help you find a particular number:

• I am a 2-digit number
• my two digits have a difference of one
• I am a multiple of 7
• the number immediately below me is a prime number

Who am I? 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 & 4th rows of the playing board contain the following fourteen numbers:

2   3   9   10   14   15   22   32   35   40   44   54   60   72

How many multiples of 4 are listed? 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 SEVENTEEN different ways to make 250 when using Lagrange’s Theorem. How many can you find? The Mathematically Possible Challenge

Using 58 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable The Target Challenge

Can you arrive at 250 by inserting 5, 10, 15, 20 and 25 into the gaps below?

•  ◯×◯–(◯²+◯+◯) = 250   