School reports outline 15-year-old Lennon's dislike of subjects such as maths, with one teacher complaining that "He (Lennon) never really makes a sensible effort".
The memorabilia is on show at Mendips, the home that Lennon lived in with his beloved Auntie Mimi which now houses a collection of Lennon's artefacts.
The house, in Woolton, was bought by Yoko Ono in 2002 and donated to the National Trust which oversees the upkeep of the property.
Shelagh Johnston, from Yoko Ono's advisory board said: "These pieces give a real insight into the mind of a young man who would go on to change the world with his music and politics."
National Trust Property Manager, Simon Osborne said: "This is particularly poignant in terms of John's paintings which would have been displayed in the house for family and visitors originally."