# DAY/DYDD 324: The Main Challenge

This challenge has been taken from our series of Mathelona number puzzle pocket books.

Can you complete this task so all three lines work out arithmetically when inserting the digits 0 0 1 1 1 2 3 4 5 6 7 and 8 into the 12 gaps below?

◯  +  ◯   =     6     =   ◯  –  ◯
◯  +  ◯   =    15    =   ◯  ×  ◯
◯  +  ◯   =     1     =   ◯  ÷  ◯

. . . and as an added challenge . . .

can you also complete this successfully if the 12 digits to be inserted were 0 1 1 2 3 4 5 6 7 8 8 and 9?

Further details of our popular challenges can be found by clicking Mathelona. The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 4th columns contain the following fourteen numbers:

2   3   6   10   16   20   33   42   45   48   63   70   72   77

What is the sum of the multiples of 3? The Factors Challenge

Which of the following numbers is NOT a factor of 324?

2     3     4     6     8     9     12     18 The Mathematically Possible Challenge

Using 56 and 12 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 324 by inserting 1, 2, 3, 4 and 5 into the gaps on both lines below?

•  (◯×◯+◯+◯–◯)² = 324
•  ◯³×◯×(◯+◯)÷◯ = 324   