Puzzle 1
Can you make this equation correct by moving exactly one matchstick?

Note: this puzzle is not interactive, and the matchsticks cannot be moved. The matchstick layouts for each digit are:
Puzzle 2
By changing the second letter of each of the words below, can you make another valid word?
You have to change each word such that the second letters will reveal a ten-letter word when read downwards.
Therefore, what now reads 'craihruane' will be a real word.
icon
crew
farm
oily
chop
arid
fund
wait
gnat
tear
Puzzle 3
What is the smallest positive integer, which …
… when multiplied by 7 gives a number consisting of only 6's?
Puzzle 4
Last week my wife and I found ourselves stranded on an island, oops!
Unfortunately, we were also stranded with our two sons, with no clear means of rescue.
Luckily, I came across an old rickety boat which I knew could carry either one adult or two children.
How did I rescue my family?