Welcome to the Trinity Admissions Test Solutions Thread.This is the place to discuss, post problems, or ask any questions you may have regarding the exam before your interview!
Here we are going to post solutions to all of the sample Trinity College Cambridge Admissions Tests available online, in the hope to help those preparing for interviews in the coming years. These tests will be useful preparation for all Cambridge Colleges, and Oxford for any mathematical interview.
We do ask that any solutions are spoilers, and, if you are stuck with any questions to first ask for any hints or look at the hints given before the TSR solutions.
When preparing for your interview at Trinity College specifically, please remember that you are not expected to answer all of the questions, or necessarily to give complete answers to questions. You should just attempt those that appeal to you, and they will be used as a basis for discussion in the interview that follows. It has also been mentioned that they will most likely ignore any full solutions you have done in the test, and have you attempt the questions you have not done.
Once finished, each solution will be linked below to the relevant post!
So we post solutions for them to be put in? If so I have one for Q2. Also I am not a Trinity applicant, but do you think these questions are worthwhile doing to prepare for my St John's interview (if I get one)?
So we post solutions for them to be put in? If so I have one for Q2. Also I am not a Trinity applicant, but do you think these questions are worthwhile doing to prepare for my St John's interview (if I get one)?
Edit: Whoops Zacken beat me to it anyway :-)
Very much so, the questions test general maths and will be useful practice for any college including Oxford.
So we post solutions for them to be put in? If so I have one for Q2. Also I am not a Trinity applicant, but do you think these questions are worthwhile doing to prepare for my St John's interview (if I get one)?
Edit: Whoops Zacken beat me to it anyway :-)
Definitely - these will be helpful for any college interview. I myself have applied to Pembroke, and Zacken^ for Kings I believe
Also, If you're solution is any different in the approach it'll still be useful to post it!
When preparing for your interview at Trinity College specifically, please remember that you are not expected to answer all of the questions, or necessarily to give complete answers to questions. You should just attempt those that appeal to you, and they will be used as a basis for discussion in the interview that follows.
They may also just ignore any complete solutions that you have done and ask you about the questions you hadn't attempted. This is what happened to my son (several years back).
Do I assume that volume of the dust is equal to the volume of the spaceship? Do I also assume that the spaceship has unit length, so the volume equals the cross sectional area? And also my answer has the constant velocity,'u', in it- is it not meant to?
They may also just ignore any complete solutions that you have done and ask you about the questions you hadn't attempted. This is what happened to my son (several years back).
Do I assume that volume of the dust is equal to the volume of the spaceship? Do I also assume that the spaceship has unit length, so the volume equals the cross sectional area? And also my answer has the constant velocity,'u', in it- is it not meant to?
Thank you.
I don't think you need the length of the spaceship, or to assume anything about the volume of the dust, but, I do think you have to assume that dust only sticks to the front of the ship. I'm not sure if my solution is correct or not, but here it is:
I don't think you need the length of the spaceship, or to assume anything about the volume of the dust, but, I do think you have to assume that dust only sticks to the front of the ship. I'm not sure if my solution is correct or not, but here it is:
Spoiler
Thanks a ton, it makes sense to me. However, I used conservation of mechanical energy, but that yielded a different result where the velocity doesn't cancel out. Let me scan it.