States have adopted one of two tests that are aligned with common core. One is the Smarter Balanced Assessment Consortium (SBAC) test and the other Partnership for Assessment of Readiness for College and Career (PARCC). These tests are to determine if the student is advancing in their progress with common core "standards". The reality is these tests are to determine whether or not the student has been properly indoctrinated.
Using the SBAC as an example let's take a look at just exactly what those questions really ask.
Here is a site where you can check in as a guest to look at the sample questions. Just click on the sign in button, then select a grade you would like to review, then yes as a guest. Let's look at grade 5 for fun, G5, ELA Performance Task. Click yes, then select, and then yes, start my test. Click the sound icon and make sure you can hear the music. The next site provides the instructions to the test then you can begin the test now.
The example that came up is a narrative on monkey helpers and service animals. Right off the bat you have the inclusion of the importance of animals in the world and diversity and the third source siting animal rights. Your collectivism ideology is noted in the first question by asking if businesses have to consider the well-being of all of their guests and to cite which source supports that ideology.
Another section details why there should be a longer school day and the student is to write a paragraph supporting that idea. And we all know Arne Duncan thinks school should start at age 3 and that school days should be longer and for longer weeks. Notice how the assignment is to support that idea and not object to it?
Taking an example from the 10th grade ELA the first questions is about solar power and the questions are mostly geared to the support for the use of solar power, back to the environmentalism. The next example has the student writing a letter to city council members objecting to a 9pm curfew. Of course you have the health piece with a 10th grader researching 4 preselected articles, 1 of which is from a UN affiliated organization (Discovery) and the government (National Health Institute) on hiccups. Are there more important issues a 10th grader could be writing about, like U.S. History perhaps?
In the G6 Math Performance test the first test that comes up is to determine what size a cereal box should be so less cardboard is used, the conservation of resources of course.
Here is another site to looks at test examples. An example for a 6th grader, it is once again undermining the parental role of authority and the school by having the student argue why they just have to have their cell phone.
These are just a few examples. Take some time to really search different grades and other ideological examples found in both math and ELA. The testing is nothing more than to determine if the student is making the appropriate change in their belief system.