The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.
1.
If the radius of the circle above is x, ∠AOB = 120°, and O is the center of the circle, what is the length of chord AB in terms of x ?
2. Students in a physics class are studying how the angle at which a projectile is launched on level ground affects the projectile’s hang time and horizontal range. Hang time can be calculated using the formula \( t=\frac{2v·sin(θ)}{g} \) ,where t is the hang time in seconds, v is the initial launch velocity, θ is the projectile angle with respect to level ground, and g is the acceleration due to gravity, defined as 9.8 m/s². Horizontal range can be calculated using the formula \( R=\frac{v²sin(2θ)}{g} \) , where R is the distance the projectile travels from the launch site, in feet. Which of the following gives the value of v, in terms of R, t, and θ ?
3. If \( (i^413)(l^x)=1 \), then what is one possible value of x ?
A. 0
B. 1
C. 2
D. 3
4. The function g is defined by g(x) = 2x² – dx – 6, where d is a constant. If one of the zeros of g is 6, what is the value of the other zero of g ?
5. The flu shot for a flu season is created from four strains of the flu virus, named Strain A, B, C, and D, respectively. Medical researchers use the following data to determine the effectiveness of the vaccine over the flu season. Table 1 shows the effectiveness of the vaccine against each of these strains individually. The graph below the table shows the prevalence of each of these strains during each month of the flu season, represented as a percentage of the overall cases of flu that month.
For the strain against which the flu shot was the most effective, approximately how effective was the shot overall when that strain was least prevalent?
A. 13%
B. 20%
C. 27%
D. 48%