The achievement is won by “joining” a match, it does not matter if you win or lose, die or survive.
If you back out when you are still alive, you will be credited with a +1 match played but you will be charged with the repairs cost as if you have been destroyed. This is the fastest way to get the achievement but the costliest since you don't get some free spotting xp or easy kills.
The following tip is strictly a tip for grinding without backing out while alive. If you are a skilful tanker, you may also get kill achievement but this will slow this tip down since you will stay longer in the match. The more games you join, the faster you will get to 10, 50 or 100 matches. You can play several matches simultaneously so back out into the garage once you get destroyed and repeat.
Alternate between a light tank and any other class. The reason why a light tank, you are most likely spotting and one of the first to be toast. Also the light tank is the cheapest to repair. Once your tank is destroyed, go back to your garage and choose another match ASAP and rush the enemy. If you want to speed the 100 match achievement have 2 of the same class of tanks and alternate between them but the i find alternating between another class and a light tanks faster.
If you want to buy a new tank to help with this achievement plan ahead. Remember you are limited to garage space, unless you want to spend on gold coins to buy more, do the “having” 5 tanks of USA, Germany and Britain at the same time (Do the country which you have the most tanks, if you received any Premium tanks for being a Beta tester USA would be the easiest to do since you are given 2 right away so you need to buy only 2 more from the USA) Just buy a USA tank destroyer and a artillery. Just alternate between the classes or use the light tank in between any other class.
Tank destroyers, med/heavy tanks will get you to the engagements so you can kill a few enemies before being destroyed but you have a better survival rate than a light tank and will slow the frequency of each match.
Artillery is the slowest class to get a high number of matches because you are in the rear and away from the action but you can speed this up backing out to your garage.
Please note that you will not get as much XP or $$ per match since you will be rushing and trying to spot and get easy kills before intentionally dying.
If you want to play normally and want to get the kills, wins and $$, you can still use this method of alternating between Light Tanks and another class. Use the other class to gain xp/$$ while waiting for the “in battle” match with the light tank to end or vice versa. You should get all 1, 50, 100 matches played for each class if you play normally in a few weeks.