Madeindevon2, unless there's valid medical reason that baby NEEDS to be out you are allowed to refuse their kind 'offer' of induction. Being 40+10 (or whatever) is not a valid medical reason in itself.
You can wait for spontaneous labour with Expectant Management on a daily basis, ie scans for fluid levels, checks on baby and you to ensure that you are both happy waiting. This also is a good idea if your scan brought your edd forward from your own dates so there is a discrepancy between dates.
Many women naturally carry their babys to 42 or even as far as 44 weeks.
If you do go in on Tuesday it's a good idea to know that a Bishops Score of 9 or more is best for induction, so if it's less ask to discuss your options further.
You might want to consider some Natural Induction methods in the mean time, although I wouldn't recommend Castor Oil and you have to eat a truck load of Pineapples to get enough of the enzymes, so it's not a great idea!
I recommend brisk walking to get baby to put enough pressure on cervix to get it to start and sex and nipple stimulation because the natural hormones released in sex are the ones required in labour, so they are safe!
Good luck!