# DAY/DYDD 270: The Main Challenge

Here’s a crafty Mathelona-style challenge where your task is to make all three lines work out arithmetically by placing digits from 0 to 5 into the 12 gaps, with each digit being inserted exactly TWICE:

◯  +  ◯   =    0    =   ◯  –  ◯
◯  +  ◯   =    8    =   ◯  ×  ◯
◯  –  ◯   =    2    =   ◯  ÷  ◯

Details of our pocket book 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 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

What is the sum of the multiples of 10? The Factors Challenge

Which of the following numbers are factors of 270?

5    10    15    20    25    30    35    40    45    50 The Mathematically Possible Challenge

Using 37 and once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

11    22    33    44    55    66    77    88    99    110

#11TimesTable The Target Challenge

Can you arrive at 270 by inserting 3, 5, 6, 9 and 10 into the gaps on each line?

•  (◯×◯×◯)÷(◯) = 270
•  (◯+◯+◯)×(◯+◯) = 270
•  (◯×◯–◯÷◯)×◯ = 270   