I am interested in comparing mathematics (and also physics) final examinations from all around the world for the highest secondary school qualification in the particular country. Especially I am interested in countries which ranked high in TIMSS/PISA.
For the German Abitur (I am a mathematics and physics teacher in Germany), there are some web sites which collect problems and solutions of the Abitur exams of the last years for example:
http://ne.lo-net2.de/selbstlernmaterial/m/abi/abiindex.html (for Mathematics for different federal states)
http://ne.lo-net2.de/selbstlernmaterial/p/abi/abiindex.html (for Physics)
So I am looking for similar links for the original problems (and possibly solutions) of the final examinations of other countries (or other examinations roughly equivalent to the German Abitur). Ideally it would be great to have a version which was translated to English (or German) but having the exam in the original language would be sufficient.
I am also interested in comparing older (or even historical) exams of different countries if available (though I didn't find a good link for this even for German exams).
Please add if Calculators, Graphical Calculators or Computer Algebra Systems are allowed. Same for formula sheets/booklets, etc.
Clearly one might find such resources using a search engine, but because of the different languages and school systems this is not so easy. Because of the international user base, this site seems to be a good place to ask this question.
Edit: It would be useful if you could add some background about the exam system of the particular country or state.
In the case of Germany:
The German exams linked above are part of the German Abitur, which allows you to study every subject in university if you pass it ("Allgemeine Hochschulreife"). The Abitur is slightly different in each federal state, but you can roughly say this:
Main subjects of the math exams are calculus, vector geometry (and very little linear algebra) and elementary probability theory (depending on the year and the federal state one of the latter might be left out)
Over the last 10 years most states changed to a system, where students graduate after the 12th grade and everybody has to take a mathematics course in grades 11 and 12 with 4x 45 min lessons a week. Based on this course (and implicitly content of the lower grades) they have to write the exams at the end of the 12th grade.
Before that most states had a system where students graduated after the 13th grade and were allowed to choose between a typcically 3x45 min per week math course in 12 and 13 ("Grundkurs") or a 5x45 min per week math course ("Leistungskurs") with different exams at the end of the 13th year. In the Leistungskurs, typically some very basic real analysis was part of the curriculum (convergence of sequences, continuity (using sequences or $\epsilon$-$\delta$ test), some proof of theorems of calculus, proof by induction etc)
In the last 10 years many states introduced graphical calculators ("GTR") or even computer algebra systems ("CAS") which were allowed in the exams. Often there was a part without any calculator and a part with a GTR or CAS. Before that students had typically only a usual scientific calculator. Usually a table of formulas is available for the students in the exams. One might add that in the case of Baden-Württemberg the GTR and CAS are abandoned for the coming Abitur 2019 (on "Allgemeinbildenen Gymnasien" and 2017 on "Beruflichen Gymnasien").