Is there a Chinese equivalent of the Japanese Kanji Kentei?
There is a similar test in mainland of China. But only targeting on people who looking for the specific job position.

It's called "汉字应用水平测试". 
http://www.sppc.edu.cn/2e/8a/c66a11914/page.htm

And this is an official test. It's managed by ministry of education of the PRC.
http://www.moe.gov.cn/s78/A18/yys_left/moe_803/