Sure, I know a bit about those exams. While some trade schools have an in-house third-level exam, the generally recognized national format is two levels. Level 2 is the easier, and level 1 is the harder.
The old level 2 exam is the subject of the very next project, the splayed leg sawhorse. It has been supplanted in recent years by this problem, which I cut in 2005:

- Lev. 2 Model d-small.JPG (105.25 KiB) Viewed 6389 times
Essentially, it's the same problem as the old level 2 - a sawhorse now placed into a roof. Less work than the old exam, IMO. I added the
hiyodori-sen spline and the wedge locking the jack rafters to the plate - in the exam, one used nails there. we'll be doing this project as part of this study group - it will probably be in the first cluster of roof models.
Level 1 has seen a few versions, but is typically a problem involving a hip or valley rafter with an attached, tenoned-in skewed jack rafter. Here's the current level 1 project, which I did in 2004:

- carpentry exam model-small.jpg (186.16 KiB) Viewed 6389 times
The challenging thing about the exams is not so much the technical difficulty (for there are
far more difficult layout issues in Japanese carpentry than seen in the level 1 exam), it is the
time frame. You are provided all materials 1mm oversize, un-backed. In
6-1/2 hours you have to make a detailed drawing of the development of the model and its parts (can't see that being done in less than 45 minutes), then layout all the wood, then plane it to dimension and square, bevel it as required, then cut all the joints and fit it together. It is the time frame that is definitely the most challenging aspect. Try it for yourself with the upcoming splayed sawhorse/table project - see if you can
imagine doing the project in 6.5 hours. Most of you will take a week. Just for reference's sake, the joined hopper we just covered is the subject of a 4 hour exam (the pass criterion though is 3 hours and 20 minutes), with the joints at one end, a simpler nailed butted joint with mitered return at the other, and a nailed-on floor. How long did it take you? Think about that - and the layout drawing portion of the exam is comparatively quick and simple for the hopper.
I've taught the sawhorse, our next project, in a couple of workshops and almost no one has finished it in 5 days, working full time. Of course, chunks of time are taken up by me droning on and explaining the layout, but that's only accounting for an hour or two of each day. I can make one of those in two days (I've made lots of these and know them well), but I would have to train seriously to get my time down under 8 hours. Sometimes I do think of doing that though! You need to be able to layout and cut out at blinding speed without having to think about anything. You would need to make the subject of the exam repeatedly - and on exam day they will tell you what the slope is going to be, so you have to be ready for that.
There are also the national meet (
taikai) exam topics, which vary each year and are generally technically more difficult than the level 1 exam. Not sure about the time format for those
taikai problems, but I am planning to cover several of them in detail in the online study group, a little while down the line. I would love it if one day this study group evolved into having a yearly meet/get-together where we tackled a project.
~C