Emanuel only do one test sitting per year, towards the end of the summer term. Pupils only admitted in September, not through the year.
Last year at year 8 occasional places test, there were 28 entrants and only 2 places. They interviewed 6 children.
They asked for children to write a story in French, German or Spanish using the present, past and future tense.
Just letting you know as honestly there was no point half the people sitting that test. They are looking for fluent speakers from the multi-lingual pool of applicants that is part of the London/SW scene, not Brits who only speak English as a first language.
They want kids who are going to achieve easy 9s at GCSEs in their home language, pick up other languages more easily, and who also do very well at English and Maths.
Our DC overheard a few saying they finished that in 10 minutes because they were fluent in French or Spanish.
Pick carefully, don't waste your money.
The other schools you have mentioned take children as vacancies arise term by term. Be prepared to sweat it though, these places don't come easy and there will be competition. Forget about current results at your existing school. Yes it's nice if these are good but in the end, it will be all about how well your DC performs on the day, plus the interview and extra curricula interests. For instance, if your DC is playing county level sport, they'll show more interest...