National exams such as GCSEs and A-levels have websites filled with past exam papers and their mark schemes. Unfortunately, entrance exams are published piece-meal by schools and mark schemes are almost never released. On this page I've collected together a few useful exam papers for 13+ entrance exams.
I’ve tried to select papers that I’ve found particularly interesting, and I purposefully include some older papers since these are no longer available on the schools’ websites. Adding and maintaining these links is time-consuming, so I only post a small fraction of the full library of papers I have available. The mark schemes for the maths papers are my own work - please do not publish them elsewhere without permission.
13+ English Papers
City of London School for Boys - Cynddylan
Dulwich 2009 - My Family and Other Animals
Tonbridge 2015 - Dracula & Plath
13+ Maths Papers
Sevenoaks 2017: Paper - Mark Scheme
Sevenoaks 2018: Paper - Mark Scheme
Dulwich 2020: Paper - Mark Scheme
13+ Science Papers
Notes on marking english papers
I don't tend to create mark schemes for English papers but I have written a few resources which you may find helpful.
How to Mark 11+ Stories - the general technique may also be applied to 13+ stories, although the criteria are of course more stringent.
How to tackle (and mark) every type of 11+ comprehension question - a breakdown of all the questions you are likely to encounter at 11+, and how to deal with them. Many of these questions also crop up at 13+ and the general principles still apply. The key difference is usually that there are more Point Evidence Explanation questions at 13+, and examiners expect a greater level of detail, as well as more precise language about linguistic devices and their effects.