# DAY/DYDD/GIORNO/NAP 289:

The Main Challenge

What is the biggest number you can make when using the four digits 1 2 3 4 and following these rules:

• you can use brackets and – × ÷ as often as you like,
• you cannot use any number more than once,
• you must use all four numbers exactly once each,
• you cannot use powers/indices,
• you cannot put numbers together (using 1, 2 and 3 to make 123, for example).

Good luck and enjoy!

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 7th rows contain the following fourteen numbers:

3   4   10   11   24   27   30   32   35   44   54   60   70   77

Find three different numbers that have a sum of 100.

The Factors Challenge

Which is the ONLY number from the following list that is a factor of 289?

3    5    7    9    11    13    15    17    19

The Mathematically Possible Challenge

Using 810 and 12 once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

5    10    15    20    25    30    35    40    45    50

#5TimesTable

The Target Challenge

Can you arrive at 289 by inserting 2, 3, 4, 6 and 7 into the gaps below?

•  (◯×◯–◯)²+◯²◯² = 289