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Interestingly the link given above describes the sonatas as being grades 5, 6, 7, 8, Dip ABRSM and LRSM but don't mention FRSM, even though no less than 7 are set for that exam and this is an ABRSM website!
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That makes me feel better, I picked up a book of Beethoven piano sonatas in a second hand book shop and I really struggled to make a vaguely musical sound sight-reading my way through them, at the same time I also picked up some Mozart ones, some of which I could sight-read reasonably well.
It is probably just that you are more familiar with a Mozartean style. Like every other composer Beethoven has his basket of tricks and standard techniques (they are one of the things that make up his "style" - it is a myth that everything in Beethoven is motivic development). Things like broken octaves, certain note patterns in passage work, use of pedal points, cascades of arpeggios, leaps of an octave, a tenth, a twelfth, sustained trills, characteristic rhythmic patterns, characteristics shapes of melody and intervals, various forms of sound texture, favourite chord sequences for transposing between keys etc. Once you have learned a couple of Beethoven sonatas (and the first couple might be a struggle) the others start to look a lot easier, and it becomes possible to struggle through them at sight. And play them reasonably well with practice.
Even if entire sonatas are beyond you for the time being the great thing is that the Beethoven sonatas are great for just browsing. You can dip into the books and learn a theme here, a passage there, a slow movement somewhere else. After a few years you will know lots of bits, and you will have improved as a pianist, and can start to put together some complete movements and whole sonatas!
Beethoven's piano work is often ranked as difficult, uncompromising, virtuoso material, but the truth is that in the grand scheme of keyboard music (and apart from the last movement of the Hammerklavier) most of it is
not especially difficult. At least not to hit the right notes, in the right sequence, at roughly the right tempo. Like all music you need a higher level of skill than that and a lot of understanding to give a worthwhile performance.
Maybe Beethoven's was the most difficult stuff that had been written at the time, but things have moved on and the works of many later composers are much harder to play - and not just the late 20th Century stuff like Messaien and Boulez (which I don't understand). Schumann wrote a lot of harder-to play music, as did Brahms (check out his two sets of Paganini variations). A lot of Chopin's and Liszt's compositions (like their etudes) are an order of magnitude more difficult than anything in Beethoven's sonatas. Ravel's Tombeau de Couperin (at least the Toccatta) and his Gaspard de la Nuit and Debussy's Etudes are for superior virtuosos only. Rachmaninoff's piano concertos are in a different league of difficulty to Beethoven's (In fact Beethoven's No. 3 in Cmin Op 37 is easier to play than many of Beethoven's sonatas). Those fast octave in Tchaikovsky No. 1 look a bit tricky too! And then there is Prokofiev.
Sometimes though, I think there is an unconscious conspiracy of professional performers, musical journalists, teachers, to persuade us that lots of music in the standard piano repertoire is extremely difficult (to play). So it is no wonder that we end up believing it and approach the playing so so much of the repertoire with insufficient confidence and self belief.
But a lot of the time it just ain't true. For example, another piece with a fearsome reputation is Bach's Goldberg variations. Why? There is hardly a variation that is more technically demanding than some of his two-part inventions. (You don't have to make things hard for yourself by copying Glenn Gould's way of playing them any more than you have to play the 13th two-part invention at the speed he did!) It is all alot easier than some Bach's four-part fugues. It is just that there are 30 variations, so it takes time to master, and stamina to play.