Yes, it is real.
According to Snopes and the school is supposedly Blue Ridge Christian academy. There's also a second page linked on the site:
This is also confirmed by Answers in Genesis, a noted anti-science, pro-creationist website:
Today, we bring your attention to another attack on Christian education. A Christian K–12 school in South Carolina, with dedicated and highly qualified Christian teachers, has come under vicious attack by atheists. Why? Because one of its instructors, a fourth-grade teacher, tested her children about biblical creation, science, and dinosaurs (using AiG resources), and she has become (in)famous on many atheist websites and blogs.
Therefore, it seems that all parties agree on this.