Every test is a little different in how many questions they contain but they are all 30 minutes long with speed being used in the case of a tie breaker. Only 1 student from each grade may take a specific academic test. This means you can have a freshman and a senior take the Spanish test but you can not have 2 freshman attempt the test. These exams are taken before the convention date with the exception of Quiz Bowl which is done onsite if your team advances to the finals.
The Math test allows calculators but are written so that they are not required. The test focuses on algebra and trigonometry with some Calculus as well. Generally the tests become harder as you progress through the grades (a freshman's test would be easier than a senior's test) but these core points will make up the majority of the test with only certain questions being harder or easier. An example of a question you could see would be "Find the derivative of F(x) = -sin(x²) + cos²(x)".
The psychology test is similar to the AP Psychology exam where you are expected to know all of the major psychologists and their research. It also heavily focuses on the different behavioral theories such as Operant or Classical Conditioning. An example of a question that could be on the exam would be, "_____ found that baby monkeys prioritize comfort over food by using a "mom" made of wire that gave food and a "mom" made of cloth that gave nothing. Who was this psychologist?"
Each club may only put forth 1 Quiz Bowl team made up of 4 students. Quiz Bowl is made up of 2 distinct rounds where the 1st is taken online while the top 8 teams move on to the 2nd round done onsite at State Convention.
1st Round
The 1st round is taken online at your local club with a teacher expected to proctor. Quiz Bowl tests everything from light trivia questions like "Who is the Greek god of the underworld?" to more niche questions like "Who wrote the musical piece, 'Claire de lune'?". Once the online testing window has ended the top 8 teams will be listed in the National Beta Club app. If your team made it then the same 4 members who competed in round 1 are expected to move on to round 2 at State Convention.
2nd Round
The 2nd round will be held onsite at the State Convention. Each team is required to attend a brief meeting where the rules will be explained and members will sign that they will abide by them*. Teams will face off against each other in a single elimination bracket of two 10 question halves. Each team will elect a team captain who will have additional responsibilities (these will come up later). "Toss up" questions are worth 10 points and may be answered by either team by members signaling and then being recognized by the moderator. If a member answers correctly, then their team captain is given the chance to answer a "bonus" question worth 20 points.
*A full list of the rules may be found here
This test isn't really science so much as it is science trivia. While taking science classes can help with some questions, the most technical question you would likely see would be a stoichiometry question. Most questions would be along the lines of "What is the top layer of human teeth made of?" or "What is the most abundant gas in the atmosphere?"
All information here came from the National Beta Club Convention Handbook that can be found here