# DAY/DYDD 282: The Main Challenge

Here’s another Mathelona challenge based on my popular number puzzles.

Can you make all four lines work out arithmetically by filling the 16 gaps with digits from 0 to 9?  But, each digit can only be inserted a maximum of TWICE:

◯  +  ◯   =    7    =   ◯  +  ◯
◯  +  ◯   =    4    =   ◯  –  ◯
◯  +  ◯   =    6    =   ◯  ×  ◯
◯  +  ◯   =    3    =   ◯  ÷  ◯

Full details of our pocket book of challenges can be found by clicking Mathelona. 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 1st & 6th rows contain the following fourteen numbers:

2   5   9   12   14   15   18   20   22   33   40   49   56   72

What is the sum of the multiples of 11? The Factors Challenge

Which is the ONLY one of the following numbers that is a factor of 282?

4     6     8     10     12     14     16     18 The Mathematically Possible Challenge

Using 27 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable The Target Challenge

Can you arrive at 282 by inserting 1, 2, 3, 4 and 5 into the gaps below?

•  (²×(+)–◯)×◯ = 282   