Schools do not print out the exam papers for the actual GCSE tests - the exam boards do that and they are delivered to schools in sealed packaging, so this has got to be about past/practise papers.
Printing all the past papers for all students for all subjects would be a seriou burden on the school reprographics department.
Typical exam papers usually around 20 - 30 pages. Say, 5 papers per subject, 10 subjects per student, call it a small secondary with 200 students in the year...
25510*200=250000 sheets of paper. Add cost of staples and time taken to print them, sort them, distribute them... it's a huge burden at a very busy time of year.
If you have a computer at home you don't even need to print them out yourself. Student reads the question on the screen, writes 1a) in the margin of their A4 lined paper, away they go.
Just make sure that your child knows/finds out which exam board and which specification they are doing for each subject, so they are doing the correct papers! Most exam boards will have a selection of past papers and mark schemes publicly available on their websites, although the websites can be a bit confusing in their layout sometimes.