There is usually no need to look for SHUATS old entrance exam papers as it is quite easy. If you have a general idea of school level Mathematics, Physics, and Chemistry, it will be easier for you.
Brush up on current affairs and GK, just to be completely prepared. Students of ICSE and CBSE boards will find the exam to be very easy and in their grasp.
The competition in SHUATS is very little, which is an advantage. Make sure to attempt all the questions as there is no negative marking. The exam has a total of 60 questions on Aptitude and 30 questions on Physics, Chemistry, Maths/ Biology.