On the translation argument: to take Angel's example upthread, in あぶなく耳にひびを切らすところだった she (I'm assuming) was actually already 75% of the way there, just by recognising that the first attempt at translation didn't seem to make sense. From there it was only a matter of working out which bits might have been the problem (words that might have nuances you weren't currently aware of, like 危なく, or maybe grammar like ~Vところだった) and double-checking their meanings/uses - you should be able to find this sense of 危なく in a decent dictionary.
Recognising when things don't feel right; working out which bits are the sticking point; figuring out how and where to look for the answers - these are important skills to develop. Translations should be an absolute last resort. (Same goes for Rikaichan - turn it off, or use the 'd' option if you just want to doublecheck readings). I'm not saying you shouldn't use J-E dictionaries, grammar books etc. which are designed for teaching Japanese and where the translations are annotated or given to explain/clarify.
Some search hints:
とは appended to an unfamiliar term brings up definitions, when ordinary dictionaries have failed you.
* in google search terms for phrases acts as a wildcard, e.g.
"あぶなく*ところだった" brings up other phrases using the same pattern (you can try changing the number of * to get different results). Note this needs to be * not * to work.
For patterns involving verbs, if you're not having much luck finding anything, try replacing the verb with the equivalent conjugation of する
That aside, I actually came back to this thread to link in
this, which is a series of past exam papers (questions/answers, although for some of the recent years these aren't complete). They're at a 中学卒業 level.
国語 has some kanji/language questions but also several which look to me like basic reading comprehension. Other subjects, like 社会 have some bits which basically require you to understand a graph/table/map and answer a question based on it.
Here is some primary school level stuff, which might be interesting. The maths, for example, is pretty simple so it's a matter of whether or not you understand the questions.