DAY 362: The Main Challenge

This a number puzzle similar to my Mathelona series of challenges, but much more difficult.

Your task is to fill all 24 gaps below with the numbers 1-24.  Each number should appear once each and ALL eight lines/equations must work out arithmetically.

◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯

If you enjoy, feel free to click Mathelona to find out more, or even place an order for my pocket book of number puzzles. 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 5th column contains the following seven numbers:

8     11     14     18     25     44     84

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100? The Factors Challenge

Which of the numbers below are factors of 362?

4    6    8    10    12    14    16    18    None of them The Mathematically Possible Challenge

Using 48 and 12 once each, with + – × ÷ available, which are the only TWO numbers 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 362 by inserting 4, 9, 16, 25 and 36 into the gaps below?

•  ◯×(+√◯–√◯)+√◯ = 362   