You can take any subject after any other subject if you so wish.
Yes.
There are no specific requirements. However, if you can, taking chemistry, physics, pre-calculus and calculus would be helpful. You will have to take harder versions of these same classes in undergraduate to prepare for vet school, so having a background in these subjects will be helpful.
In the United States, you should be focusing on taking the most advanced math and science classes you can - Algebra II, Pre-Calculus, Calculus, Biology, Chemistry, Physics, etc. These will help set a good foundation for you to go on to undergraduate college and take the pre-requisite classes for vet school: Physics I and II, Calculus I and II, Microbiology, Organic Chemistry, Biochemistry, etc.
You should focus on taking as difficult of math and science classes as you can handle - biology, chemistry, physics, pre-calculus.
Pre-calculus covers the basics you will need for calculus, including exponents, algebraic formulas and solving equations. Calculus is where mathematics and physics intersect - you can calculate the speed and velocity from a nonlinear function describing the distance traveled at a given time.
In the United States, your primary focus in high school should be on taking the most advanced math and science courses that you can. If possible, you should take biology, chemistry, physics and pre-calculus in high school. This will help you prepare for undergraduate college work, which will include inorganic chemistry, organic chemistry, biochemistry, physics, biology, microbiology, genetics, calculus I, calculus II and statistics.
In high school you should focus on taking the most advanced science and math classes you can handle - Algebra II, Pre-Calculus, Calculus, Biology, Chemistry and Physics are all good choices. This will help prepare you for undergraduate college where you will take courses like Physics I and II, Calculus I and II, Microbiology, Organic Chemistry and Biochemistry. Once you have the foundation in place, you go on to vet school.
Statistics are not used all that much in college physics courses, though stats definitely is useful for many other things and I would recommend taking it anyway. It depends what your choices are and what your intention is as far as a college major. If your primary concern is preparing yourself for a college physics course, your best bet would be to strengthen your math skills (through calculus), and obviously take any physics offered in high school.
No, it is not required to take calculus in high school to become a veterinarian. However, if it is an option and you have the math skills to take calculus, it will probably help you in undergraduate where you will have to take calculus and pass it to apply to vet school. Most vet schools require Calculus I and some require Calculus I and II to apply for vet school. The reason I would recommend taking calculus in high school if you have the math background is because taking it for the first time in high school is free and gives you at least some of the knowledge of the class so that when you take it in undergraduate and have to pay tuition you have a better understanding of the topic.
You need to take chemistry, biology,and get some exposer to physics and calculus level math
Everything. If you study mech engineering you will take two years of calculus and calculus based physics before you can get accepted into the engineering college at your university. After you get into the college you will use your math skills in almost every course you take, and you will take even more math.
Maths and Sciences: - Physics - Chemistry - Algebra - Calculus - Computer Science