The original question appears to be here:
III. 2 Drawing from Memory
[One hour allowed for this Study.
The Candidates may add any amount of shadow that they think necessary to the full expression of the subject.]
The Candidate is required to make a careful drawing, from memory, of a wheelbarrow turned upside down, with its wheel and legs in the air.
Some scrolling reveals that the prefixed numbers correspond to "the subjects in the regulations". We find that, for students under 16 years of age, the relevant numbers correspond to (bolded for emphasis by me)
Part III.
Students may also offer themselves for Examination in
- Geometrical and Mechanical Drawing
- Drawing from the Flat, from Models, from Memory, and in Perspective.
- The Grammar of Music.
So this section of the examination was optional. For students under 18 years of age, part II includes an optional section G, which is described as
Section G.
Drawing from the Flat, from Models, from Memory, and in Perspective; and Drawing of Planes, Sections, and Elevations.
Design in Pen and ink, and in colour.
A fair degree of skill in free-hand drawing will be required in order that a Student may pass in this section.
Questions also will be set on the history of principles of the arts of Design.
In conclusion, I think the purpose of the question isn't related to mechanical drawing (which would've fallen under III.1) but to test more artistic drawing skills. It's also worth noting that it's a very broad examination - covering fields such as religious studies, English, Greek, etc. - seemingly intended to determine placement of students:
After each Examination the names of the Students who pass with credit will be placed alphabetically in three honour classes, and the names of those who pass to the satisfaction of the Examiners, yet not so as to deserve honours, will be placed alphabetically in a fourth class. ...
In other words, the context in OP's link (a math assignment) is very different from the purposes of the exam where the question showed up.