Do reptiles continue to grow right up until they die?

Answer 1

Yes.
according to the Encyclopedia Britannica CD:

The significant difference between growth in reptiles and that in mammals is that a reptile has the potential of growing throughout its life, whereas a mammal reaches a terminal size and grows no more, even though it may subsequently live many years in ideal conditions

Answer 2

Yes, though the growth rate slows as they get older. This is why the largest specimens of a reptile species are likely to be the oldest. This may have something to do with their cold-blooded metabolism - in warm-blooded creatures like mammals, 70% of energy from food goes to maintaining internal body temperature. In reptiles, 70% of energy goes to growth, since they do not need to maintain their body temperatures internally.

Answer 3

Yes, it's called indeterminate growth and that's why big tortoises, sea turtles, crocodilians, snakes and lizards are often very old. Probably the tuatara too, but I'm not that sure.

Answer 4

Nothing grows after it dies - death is when everything stops working.

Answer 5

Reptiles grow just like other animals. They won't keep growing constantly and forever, but almost all organisms continue to grow for a little while even after they have died.